Tootfinder

Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/2]:
- Frequentist Cosmological Constraints from Full-Shape Clustering Measurements in DESI DR1
James Morawetz, et al.
https://arxiv.org/abs/2508.11811 https://mastoxiv.page/@arXiv_astrophCO_bot/115054617575953333
- Is Dark Energy Increasing or Decreasing in the Late Universe?
Maryam Aghaei Abchouyeh, Maurice H. P. M. van Putten
https://arxiv.org/abs/2509.23168 https://mastoxiv.page/@arXiv_astrophCO_bot/115292271970370289
- CMB Hemispherical Power Asymmetry from Early Phase of Inflation
Akash Gandhi, Mohit Panwar, Pankaj Jain
https://arxiv.org/abs/2509.24712 https://mastoxiv.page/@arXiv_astrophCO_bot/115292556588124095
- Cosmological Implication of Cross-correlation between Galaxy Clustering and 21-cm Line Intensity ...
Yong-Seon Song, Minji Oh, Kyungjin Ahn, Feng Shi
https://arxiv.org/abs/2512.11353 https://mastoxiv.page/@arXiv_astrophCO_bot/115722792571619796
- Core-Halo Mass Relation in Cosmological Vector Dark Matter
Jiajun Chen, Yonghao Yao, David J. E. Marsh
https://arxiv.org/abs/2607.18025 https://mastoxiv.page/@arXiv_astrophCO_bot/116957011896583949
- ZTF SN Ia DR2 follow-up: early excess in Type Ia supernova light curves
Tom\'as E. M\"uller-Bravo, et al.
https://arxiv.org/abs/2607.22050
- Validation of the DESI DR2 Ly$\alpha$ forest full-shape analysis
M. Herbold, et al.
https://arxiv.org/abs/2607.27411 https://mastoxiv.page/@arXiv_astrophCO_bot/117013522013221755
- Progenitor age-bias-corrected Type Ia supernovae favor a logarithmic luminosity-distance relation
Hoang Ky Nguyen
https://arxiv.org/abs/2608.00806 https://mastoxiv.page/@arXiv_astrophCO_bot/117036166129420866
- A refined method for measuring cosmological distances using variability and proper motions in AGN...
Hodgson, Carr, Parkinson, Statti, Myeong, L'Huillier, Shafieloo, Liodakis, Oh
https://arxiv.org/abs/2608.02202 https://mastoxiv.page/@arXiv_astrophCO_bot/117036302970516638
- Dark Baryon Black Holes
Stefano Profumo
https://arxiv.org/abs/2502.16439 https://mastoxiv.page/@arXiv_hepph_bot/114063445210577923
- Extending Weinberg's EFT: effective scalar-tensor theories up to sixth order
Eugeny Babichev, Suk\c{r}ti Bansal, Maria Mylova, Antonio Padilla
https://arxiv.org/abs/2512.13453 https://mastoxiv.page/@arXiv_hepth_bot/115728934638285022
toXiv_bot_toot

Replaced article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- Fifty Years of SAR Automatic Target Recognition: The Road Forward
Zhou, Liu, Liu, Li, Yang, Peng, Song, Kuang, Li
https://arxiv.org/abs/2509.22159 https://mastoxiv.page/@arXiv_eessIV_bot/115286713174854296
- PSI3D: Plug-and-Play 3D Stochastic Inference with Slice-wise Latent Diffusion Prior
Wenhan Guo, Jinglun Yu, Yaning Wang, Jin U. Kang, Yu Sun
https://arxiv.org/abs/2512.18367 https://mastoxiv.page/@arXiv_eessIV_bot/115768023276010735
- Harmonizing MR Images Across 100 Scanners: Multi-site Validation with Traveling Subjects and Rea...
Savannah P. Hays, et al.
https://arxiv.org/abs/2604.19474 https://mastoxiv.page/@arXiv_eessIV_bot/116447231958934365
- Delta-Diffusion: Modeling Longitudinal Brain Amyloid-PET Trajectories via Conditional Poisson Dif...
Yongheng Sun, Minhui Yu, Mengqi Wu, Maureen Kohi, Mingxia Liu
https://arxiv.org/abs/2606.22216 https://mastoxiv.page/@arXiv_eessIV_bot/116798571844191200
- Endo-NeRF : Uncertainty-Aware Neural Rendering with Multi-Resolution Hash Encoding for Dynamic S...
Gousia Habib, Laura Ruotsalainen
https://arxiv.org/abs/2607.27825 https://mastoxiv.page/@arXiv_eessIV_bot/117013453170771213
- MODEST: Multi-Optics Depth-of-Field Stereo Dataset
Nisarg K. Trivedi, Vinayaka A. Belludi, Li-Yun Wang
https://arxiv.org/abs/2511.20853 https://mastoxiv.page/@arXiv_csCV_bot/115621075809273744
- Attention Fusion for Bridge Deck Delamination Detection
Alireza Moayedikia, Amirhossein Moayedikia
https://arxiv.org/abs/2512.20113 https://mastoxiv.page/@arXiv_csCV_bot/115773982683458537
- Label-Free Target-Domain Adaptation for Unconstrained Event-Image Feature Matching via Dual-Stage...
Zhonghua Yi, Hao Shi, Qi Jiang, Yufan Zhang, Kailun Yang, Kaiwei Wang
https://arxiv.org/abs/2607.10082 https://mastoxiv.page/@arXiv_csCV_bot/116917499198780916
toXiv_bot_toot

Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Characterizations of weak almost ${\mathcal S}$-manifolds with curvature properties
Sourav Nayak, Dhriti Sundar Patra, Vladimir Rovenski
https://arxiv.org/abs/2508.08871 https://mastoxiv.page/@arXiv_mathDG_bot/115020407904524620
- Contact lifts and Holder lifts to central extension of Carnot groups
Yihan Cui
https://arxiv.org/abs/2512.11897 https://mastoxiv.page/@arXiv_mathDG_bot/115728123603076917
- A strict gap above the Brito--Chacon--Naveira bound for the Sasaki volume on higher odd spheres
Jonas Matuzas
https://arxiv.org/abs/2602.22961 https://mastoxiv.page/@arXiv_mathDG_bot/116141540006410959
- Hausdorff-type metric geometry of the space of Cauchy hypersurfaces
Christian Lange, Jonas W. Peteranderl
https://arxiv.org/abs/2604.11783 https://mastoxiv.page/@arXiv_mathDG_bot/116402225320621066
- Unexpected phenomena for mean curvature functionals in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti, Simone Verzellesi
https://arxiv.org/abs/2605.29912 https://mastoxiv.page/@arXiv_mathDG_bot/116656777517434165
- Making Surfaces Biharmonic by Conformal Reparametrization in Anti-de Sitter Three-Space
Dipesh Bhandari
https://arxiv.org/abs/2607.06280 https://mastoxiv.page/@arXiv_mathDG_bot/116883321480043758
- $L^p$ Liouville theorems for pluriharmonic functions on gradient K\"ahler-Ricci solitons
Guangwen Zhao
https://arxiv.org/abs/2607.28057 https://mastoxiv.page/@arXiv_mathDG_bot/117013591192494418
- New Complex-Valued Harmonic Morphisms via Rational Exponents
Sigmundur Gudmundsson
https://arxiv.org/abs/2608.03905 https://mastoxiv.page/@arXiv_mathDG_bot/117041918873461280
- Analysis on surfaces with locally bounded integral curvature
Sebastian Boldt, Batu G\"uneysu, Maxime Marot
https://arxiv.org/abs/2608.03982 https://mastoxiv.page/@arXiv_mathDG_bot/117041925953852654
toXiv_bot_toot

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- On a question of Astorg and Boc Thaler
Zhangchi Chen, Zihao Ye, Weizhe Zheng
https://arxiv.org/abs/2511.21324 https://mastoxiv.page/@arXiv_mathDS_bot/115620847104579057
- Trimmed strong laws and distributional limits for exponentially mixing systems
Max Auer, Sixu Liu
https://arxiv.org/abs/2601.08126 https://mastoxiv.page/@arXiv_mathDS_bot/115892649562469490
- On Coexistence of Conservative Replicator Dynamics with Four Strategies
Haoyu Yin, Xudong Chen, Bruno Sinopoli
https://arxiv.org/abs/2604.06117 https://mastoxiv.page/@arXiv_mathDS_bot/116368245208941871
- Sharp Cyclicity of Neutral Entry--Exit Cycles with Quadratic Grazing
Haibo Lu
https://arxiv.org/abs/2607.27464 https://mastoxiv.page/@arXiv_mathDS_bot/117013446092691734
- Reachable and observable sets for switched systems via generalized Lyapunov equations: applicatio...
Mattia Manucci, Benjamin Unger
https://arxiv.org/abs/2407.20044 https://mastoxiv.page/@arXiv_mathNA_bot/112874193213871144
- Fractals in rate-induced tipping
Jason Qianchuan Wang, Yi Zheng, Eduardo G. Altmann
https://arxiv.org/abs/2601.16373 https://mastoxiv.page/@arXiv_nlinCD_bot/115960558494609598
- Cluster dynamics in a two-group Stuart-Landau model analyzed by the second-order phase reduction
Yernur Baibolatov, Oleh E. Omel'chenko, Michael Rosenblum
https://arxiv.org/abs/2606.04668 https://mastoxiv.page/@arXiv_nlinAO_bot/116690719923365518
toXiv_bot_toot

The Internet is forever, you morons. What a bunch of losers.
#trump
From: @…
https://ma…

Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- On weak Wolff--Denjoy theorem for certain non-convex domains
Vikramjeet Singh Chandel, Sanjoy Chatterjee, Chandan Sur
https://arxiv.org/abs/2604.07215 https://mastoxiv.page/@arXiv_mathCV_bot/116373677490709032
- Analytic properties of the parametric harmonic zeta function, with applications to harmonic Stiel...
Merve Kara \"Ozt\"urk, M\"um\"un Can
https://arxiv.org/abs/2606.27827 https://mastoxiv.page/@arXiv_mathCV_bot/116832295861757761
- The convergence of power matrices
Vyacheslav M. Abramov
https://arxiv.org/abs/2307.13142 https://mastoxiv.page/@arXiv_mathCA_bot/110779014337385995
- Three topological phases of the elliptic Ginibre ensembles with a point charge
Sung-Soo Byun, Eui Yoo
https://arxiv.org/abs/2502.02948 https://mastoxiv.page/@arXiv_mathph_bot/113955697046948117
- A Criterion for the Algebraic Density Property of Affine $SL_2$-Manifolds
Rafael B. Andrist, Jan Draisma, Gene Freudenburg, Gaofeng Huang, Frank Kutzschebauch
https://arxiv.org/abs/2502.13903 https://mastoxiv.page/@arXiv_mathAC_bot/114035075438980829
- Continuous first-order logic of abstract harmonic spaces
Haoming Wang
https://arxiv.org/abs/2604.14020 https://mastoxiv.page/@arXiv_mathLO_bot/116413265841271110
toXiv_bot_toot

Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/2]:
- Updated constraints on the primordial power spectrum at sub-Mpc scales
Torsten Bringmann, Djuna Croon, Sergio Sevillano Mu\~noz
https://arxiv.org/abs/2506.20704 https://mastoxiv.page/@arXiv_astrophCO_bot/114754296832362376
- $\texttt{SBi3PCF:}$ Simulation-based inference with the integrated 3PCF
David Gebauer, Anik Halder, Stella Seitz, Dhayaa Anbajagane
https://arxiv.org/abs/2510.13805 https://mastoxiv.page/@arXiv_astrophCO_bot/115383198732999954
- Galaxy Phase-Space and Field-Level Cosmology: The Strength of Semi-Analytic Models
Natal\'i S. M. de Santi, et al.
https://arxiv.org/abs/2512.10222 https://mastoxiv.page/@arXiv_astrophCO_bot/115705840924013174
- A high-significance detection of primordial tidal torque imprints
Sheng, Yu, Bao, Chen, Shao, Guo, Chen, Wang, Pen, Wang, Yang
https://arxiv.org/abs/2512.11383 https://mastoxiv.page/@arXiv_astrophCO_bot/115722821408944705
- Joint constraints on cosmic birefringence and early dark energy from ACT, Planck, DESI, and Panth...
Lu Yin, Guo-Hong Du, Tian-Nuo Li, Xin Zhang
https://arxiv.org/abs/2601.13624 https://mastoxiv.page/@arXiv_astrophCO_bot/115932398559254092
- A Reusable Hierarchical Framework for Joint Inference of Ultralight-Dark-Matter Mass and Core-Hal...
Prasun Panthi, Md Shahrier Islam Arham
https://arxiv.org/abs/2605.11600 https://mastoxiv.page/@arXiv_astrophCO_bot/116566279481155953
- GWTC-5.0: Constraints on the Cosmic Expansion Rate and Modified Gravitational-wave Propagation
The LIGO Scientific Collaboration, et al.
https://arxiv.org/abs/2605.27227 https://mastoxiv.page/@arXiv_astrophCO_bot/116645483007429258
- Constraints on the gravitational potential from DESI DR2 BAO and its implications for the local v...
Indranil Banik, Jos\'e Antonio N\'ajera, Harry Desmond
https://arxiv.org/abs/2606.02712
- Lyman-$\alpha$ forest constraints on pure and mixed fuzzy dark matter
Jianxiang Liu, Yan Gong, Xingchen Zhou
https://arxiv.org/abs/2606.06969 https://mastoxiv.page/@arXiv_astrophCO_bot/116713433278473918
- The Manticore Project II: Bayesian digital twins of cosmic structure across the SDSS and BOSS vol...
Stuart McAlpine, Jens Jasche, Guilhem Lavaux, Ludvig Doeser, Arthur Loureiro
https://arxiv.org/abs/2606.10020 https://mastoxiv.page/@arXiv_astrophCO_bot/116724751031288980
toXiv_bot_toot

«KI-Bot läuft Amok, löscht gesamtes 700-GB-System statt Temp-Ordner:
Ein KI-Assistent sollte eigentlich nur ein temporäres Verzeichnis aufräumen, löschte stattdessen aber das gesamte Hauptverzeichnis eines Entwicklers mit 700 Gigabyte Daten. Das Einzige, was am Ende unberührt blieb, waren die temporären Dateien»
Das wievielte mal ist das und wieviel mal wird sich so was oder Ähnliches wiederholen? Die KI ist nur so klug wie es angewendet wird.
🤖

KI-Bot läuft Amok, löscht gesamtes 700-GB-System statt Temp-Ordner
Ein KI-Assistent sollte eigentlich nur ein temporäres Verzeichnis aufräumen, löschte stattdessen aber das gesamte Hauptverzeichnis eines Entwicklers mit 700 Gigabyte Daten. Das Einzige, was am Ende unberührt blieb, waren die temporären Dateien.

Replaced article(s) found for physics.comp-ph. https://arxiv.org/list/physics.comp-ph/new
[1/1]:
- Walking on Spheres and Talking to Neighbors: Variance Reduction for Laplace's Equation
Michael Czekanski, Benjamin Faber, Margaret Fairborn, Adelle Wright, David Bindel
https://arxiv.org/abs/2404.17692 https://mastoxiv.page/@arXiv_physicscompph_bot/112358997081867258
- From Experiments to Expertise: Scientific Knowledge Consolidation for AI-Driven Computational Phy...
Haonan Huang
https://arxiv.org/abs/2603.13191 https://mastoxiv.page/@arXiv_physicscompph_bot/116237798566267809
- Grounded autonomous scrutiny at scale: emergent critique from reproduction of published computati...
Haonan Huang
https://arxiv.org/abs/2604.12198 https://mastoxiv.page/@arXiv_physicscompph_bot/116407633668438262
- libwignernj: a reusable C/C /Fortran/Python library for exact Wigner symbols and related coeffic...
Susi Lehtola
https://arxiv.org/abs/2605.06634 https://mastoxiv.page/@arXiv_physicscompph_bot/116537877078468610
- An Overview of Relativistic Particle Pushers and their Extension to Arbitrary Order Accuracy
Holger Schmitz
https://arxiv.org/abs/2603.06509 https://mastoxiv.page/@arXiv_physicsplasmph_bot/116198419420211577
- paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics...
R. Kevin Kessing
https://arxiv.org/abs/2603.07341 https://mastoxiv.page/@arXiv_quantph_bot/116204568573959976
- Topology of Plasma Wakefields Driven by Two Color Laguerre Gaussian Laser Pulses
Saumya Singh, Dinkar Mishra, Shivani Aggarwal, Bhupesh Kumar, Pallavi Jha
https://arxiv.org/abs/2605.18336 https://mastoxiv.page/@arXiv_physicsplasmph_bot/116600306625433164
- Resolved Anderson localization of light in dense three-dimensional dielectric disorder
Yevgen Grynko, Jens F\"orstner
https://arxiv.org/abs/2605.25098 https://mastoxiv.page/@arXiv_physicsoptics_bot/116639935317087700
- A Reproducible Benchmark and Evidence-Retrieval Software Framework for Silicon Detector R&D Liter...
Tianqi Gao, Ruobing Jiang, Dawei Fu, Qiang Li, Matthew Kenzie
https://arxiv.org/abs/2606.24725
- Probing Light-Matter Interaction with Topological Data Analysis
Timothy Holt, Maxim Goryachev, Jeremy Bourhill
https://arxiv.org/abs/2606.30007 https://mastoxiv.page/@arXiv_physicsappph_bot/116837978382710147
toXiv_bot_toot

Crosslisted article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/1]:
- Consistent Thermal Resummation and Phase Transitions with 2PI Methods
Amitayus Banik, Kimmo Kainulainen
https://arxiv.org/abs/2608.04102 https://mastoxiv.page/@arXiv_hepph_bot/117047502693663591
- Amnesia in the Axion Misalignment Landscape
Kierthika Chathirathas, Cem Er\"oncel, Mathieu Kaltschmidt, Javier Redondo, Kenichi Saikawa
https://arxiv.org/abs/2608.04139 https://mastoxiv.page/@arXiv_hepph_bot/117047523928429238
- Corrections to Hawking radiation from asteroid-mass primordial black holes: analytic and numerica...
Gabriel Vasquez, Bowen Chen, Cara Nel, Emily Koivu, Makana Silva, Christopher M. Hirata
https://arxiv.org/abs/2608.04346 https://mastoxiv.page/@arXiv_grqc_bot/117047445284689579
- Relativistic Signatures of Dark Matter Equations of State in Static Spherically Symmetric Spacetimes
Akash Yadav, Sudhava Yadav, K. K. Venkataratnam
https://arxiv.org/abs/2608.04470 https://mastoxiv.page/@arXiv_grqc_bot/117047473794282581
- Inflow-driven galaxy evolution - I. Revealing the physics of the fundamental metallicity relation
Kai Wang, et al.
https://arxiv.org/abs/2608.04784 https://mastoxiv.page/@arXiv_astrophGA_bot/117047534350606403
- Evolution of matter perturbations in the context of cosmic slowing down
D. Koh Cuende, G. Panotopoulos
https://arxiv.org/abs/2608.04922 https://mastoxiv.page/@arXiv_grqc_bot/117047514099918452
- Post-Inflationary Constraints on Nonminimally Coupled Quintessential Inflation
Min Gi Park, Seong Chan Park, Tomo Takahashi, Jos\'e Jaime Terente D\'iaz
https://arxiv.org/abs/2608.05079 https://mastoxiv.page/@arXiv_grqc_bot/117047542803232910
- CCAT: Design and Characterization of the 350 GHz Instrument Module
Ben Keller, et al.
https://arxiv.org/abs/2608.05121 https://mastoxiv.page/@arXiv_astrophIM_bot/117047574262723419
toXiv_bot_toot

Philips Hue startet Automatikbau per KI-Bot, bringt Backups und steuert Nanoleaf
Mit neuen Hue-Funktionen entwirft man komplexe Regeln per Zuruf, dirigiert Sonos-Speaker und Nanoleaf-Lichter und synchronisiert das TV-Licht per Kamerascan.

Philips Hue startet Automatikbau per KI-Bot, bringt Backups und steuert Nanoleaf
Mit neuen Hue-Funktionen entwirft man komplexe Regeln per Zuruf, dirigiert Sonos-Speaker und Nanoleaf-Lichter und synchronisiert das TV-Licht per Kamerascan.

Three paragraphs, from three different hotel reviews.
Can you tell which, if any, were AI‑generated?
🔸“The hotel is in a great location for everything. Lots of places to eat and drink. The hotel itself is always abuzz. The tavern located on the ground floor is definitely a must. Food, service, prices and atmosphere were great.”
🔸“A good hotel, though the room had the proportions of a well-appointed lift. Slept well, shower was excellent, staff were friendly. Breakfast was bus…

Crosslisted article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- Chat Debugging: An Exploratory Study of Human-AI Collaboration to Debug Analog Circuits
John Hu, Andrew Ash
https://arxiv.org/abs/2608.02955 https://mastoxiv.page/@arXiv_csHC_bot/117041782815833404
- ProCAVE: A Self-Adaptive, Full-Lifecycle Edge Caching Framework for Video Streaming via Predictiv...
Yeganeh Chatri, Behzad Akbari, Foad Ghaderi, Pejman Goudarzi
https://arxiv.org/abs/2608.03313 https://mastoxiv.page/@arXiv_csNI_bot/117041740735177292
- Multi-Task Multi-Frame Visual Piano Transcription
Yonghyun Kim, Hoyeol Sohn, Juhan Nam, Alexander Lerch
https://arxiv.org/abs/2608.03419 https://mastoxiv.page/@arXiv_csSD_bot/117041870901305677
toXiv_bot_toot

[2026-08-06 Thu (UTC), 5 new articles found for cs.MA Multiagent Systems]
toXiv_bot_toot

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic...
Siji Chen, Igor Mezi\'c, Sui Tang
https://arxiv.org/abs/2608.02661 https://mastoxiv.page/@arXiv_mathNA_bot/117041757453239989
- A Proof of the Forsythe Conjecture for the Two-Step Restarted Conjugate Gradient Method
Matthew J. Colbrook, George Stepaniants, Alex Townsend
https://arxiv.org/abs/2608.02852 https://mastoxiv.page/@arXiv_mathNA_bot/117041786747771352
- Geodesic string counting invariants and arithmetic of multiplicities
Yasha Savelyev
https://arxiv.org/abs/2608.02857 https://mastoxiv.page/@arXiv_mathDG_bot/117041820596493504
- Local limit theorem and Edgeworth expansions for inhomogeneous random walks on $GL(d,\mathbb R)$
Yeor Hafouta
https://arxiv.org/abs/2608.02897 https://mastoxiv.page/@arXiv_mathPR_bot/117041853991359257
- Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Fra...
Junwen Qiu, Bohao Ma, Andre Milzarek, Junyu Zhang
https://arxiv.org/abs/2608.03001 https://mastoxiv.page/@arXiv_mathOC_bot/117041775179365775
- Population Structures with Positive Feedback and Asymmetric Division
Gabriel Dooley, Camden Kilton, Brynley Needham, Graham Walther, Todd R. Young
https://arxiv.org/abs/2608.03604 https://mastoxiv.page/@arXiv_qbioCB_bot/117041846353665589
toXiv_bot_toot

[2026-08-06 Thu (UTC), no new articles found for q-bio.OT Other Quantitative Biology]
toXiv_bot_toot

Crosslisted article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic tra...
Urei Miura
https://arxiv.org/abs/2608.04850 https://mastoxiv.page/@arXiv_quantph_bot/117047618895534612
- Machine-Learning Search for Lax Connections
Osamu Fukushima, Tomohiro Shigemura, Ryosuke Suda, Norihiro Tanahashi, Kentaroh Yoshida
https://arxiv.org/abs/2608.05146 https://mastoxiv.page/@arXiv_hepth_bot/117047572101225603
toXiv_bot_toot

Fattyshack
bot by @…
No laws were broken in the making of this bot: let's leave the extrajudicial killing out of it.
#satire #potus45

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Dirichlet symbols and the nonlinear wave equation
Ramlal Debnath, Haakan Hedenmalm
https://arxiv.org/abs/2608.04666 https://mastoxiv.page/@arXiv_mathCV_bot/117047475984639716
- On the absence of point defects in biaxial Landau--de Gennes models
Haotong Fu, Huaijie Wang, Wei Wang, Zhifei Zhang
https://arxiv.org/abs/2608.04908 https://mastoxiv.page/@arXiv_mathAP_bot/117047579572529324
- On abelian complex structures on Nilpotent Lie Algebras
Luis Pizarro, Raquel Villacampa
https://arxiv.org/abs/2608.04914 https://mastoxiv.page/@arXiv_mathRA_bot/117047497385336938
- Sparse Random Covers and Growth of Torsion in First Homology
Raz Slutsky
https://arxiv.org/abs/2608.05037 https://mastoxiv.page/@arXiv_mathGR_bot/117047548506175270
- Differential Homology
Fabio Ferrari Ruffino, Gabriel Longatto Clemente
https://arxiv.org/abs/2608.05048 https://mastoxiv.page/@arXiv_mathAT_bot/117047501546262894
toXiv_bot_toot

Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- On frequencies of parabolic Koenigs domains
Carlos G\'omez-Cabello, F. Javier Gonz\'alez-Do\~na
https://arxiv.org/abs/2507.08514 https://mastoxiv.page/@arXiv_mathCV_bot/114850653272337038
- Bi-Lipschitz equivalent cones with different degrees
Alexandre Fernandes, Zbigniew Jelonek, Jos\'e Edson Sampaio
https://arxiv.org/abs/2309.07078 https://mastoxiv.page/@arXiv_mathAG_bot/111061676021701108
- Classifying multiply connected wandering domains
Gustavo Rodrigues Ferreira, Lasse Rempe
https://arxiv.org/abs/2405.12165 https://mastoxiv.page/@arXiv_mathDS_bot/112477925948934607
- On the Datar-Mete-Song minimal slope conjecture
Xin Fu
https://arxiv.org/abs/2608.01198 https://mastoxiv.page/@arXiv_mathAG_bot/117036277608603931
- Variable-Radius Disk Transforms and an Area-Integral Problem of Zalcman
Qiteng Guo, Yixin He
https://arxiv.org/abs/2608.02546
toXiv_bot_toot

Crosslisted article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/1]:
- A multi-axion model of inflation and dark matter
Marcos A. G. Garcia, Hansel Gordillo-Ruiz, Raul Henriquez-Ortiz, Saul Ramos-Sanchez
https://arxiv.org/abs/2607.26138 https://mastoxiv.page/@arXiv_hepph_bot/117007836099909893
- Abundant production of scalars and axions from phase transition bubble expansion
Isabel Garcia Garcia, Gaurang Ramakant Kane, John March-Russell, Andrea Paolini
https://arxiv.org/abs/2608.02729 https://mastoxiv.page/@arXiv_hepph_bot/117041816633624483
- Determination of the Angular Momentum of Radiated Gravitons, Scalars, and Dark Photons from Binar...
Arpan Hait, Subhendra Mohanty
https://arxiv.org/abs/2608.02742 https://mastoxiv.page/@arXiv_grqc_bot/117041806016644670
- A "Neutrino Fog" For Gravitational Waves: The Stochastic Gravitational Wave Background from Super...
Alex Rojewski, Cecilia Lunardini
https://arxiv.org/abs/2608.02747 https://mastoxiv.page/@arXiv_astrophHE_bot/117041760204423284
- Minimal Scale-Invariant Dark Matter
Alexander Belyaev, Roman Pasechnik, Rishav Roshan, Alfonso Zerwekh
https://arxiv.org/abs/2608.03019 https://mastoxiv.page/@arXiv_hepph_bot/117041900391599501
- A Tale of Two Couplings: Bayesian Selection in the Interacting Dark Sector
Miguel Barroso Varela, \'Alvaro de la Cruz-Dombriz
https://arxiv.org/abs/2608.03981 https://mastoxiv.page/@arXiv_grqc_bot/117041930869136030
toXiv_bot_toot

Crosslisted article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- Toward Uncertainty Quantification in Modern Art
Roy, Bhattacharjee, Saha, Chakraborty, Howlader, Bhattacharjee
https://arxiv.org/abs/2608.04038 https://mastoxiv.page/@arXiv_csGR_bot/117047435256204813
- LoRetta: A Foundation Model and Extensive Dataset for Global-Scale Remote Sensing Dense Image Mat...
Siwei Yu, Han Guo, Zhenwei Shi, Zhengxia Zou
https://arxiv.org/abs/2608.04106 https://mastoxiv.page/@arXiv_csCV_bot/117047398291306903
toXiv_bot_toot

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/2]:
- Inertial manifolds for the nonlocal parabolic problem
Xiaoqing Yang, Alexandre N. Carvalho, Chunyou Sun
https://arxiv.org/abs/2608.00197 https://mastoxiv.page/@arXiv_mathAP_bot/117036089642684807
- Why males compete rather than care, with an application to supplying collective goods
Sara L. Loo, Danya Rose, Michael Weight, Kristen Hawkes, Peter S. Kim
https://arxiv.org/abs/2608.00292 https://mastoxiv.page/@arXiv_qbioPE_bot/117036170847876781
- Sylvester's Theorem and Reduced Linear Systems: From Three-Factor Products to Small Dynamical Models
James M. Hyman
https://arxiv.org/abs/2608.00367 https://mastoxiv.page/@arXiv_mathHO_bot/117036100065935534
- Modeling Unknown Nonlocal PDE Systems via Flow Map Learning
Zhongshu Xu, Ying Li, Yanzhi Zhang, Dongbin Xiu
https://arxiv.org/abs/2608.00400 https://mastoxiv.page/@arXiv_csLG_bot/117036316536728731
- Fundamental examples of height functions on closed manifolds and their 1st derivatives
Naoki Kitazawa
https://arxiv.org/abs/2608.00556 https://mastoxiv.page/@arXiv_mathDG_bot/117036201322109036
- Duck hunting with quantum mechanics
Artem Alexandrov
https://arxiv.org/abs/2608.00579 https://mastoxiv.page/@arXiv_nlinPS_bot/117036126019380602
- Dynamics on graphs with disjoint cycles and applications
Pere Ara, Tran Quang Do, Tran Giang Nam
https://arxiv.org/abs/2608.00587 https://mastoxiv.page/@arXiv_mathRA_bot/117036105572329742
- Co-evolution of social reward and punishment under institutional interventions
Van An Nguyen, et al.
https://arxiv.org/abs/2608.01183 https://mastoxiv.page/@arXiv_csAI_bot/117036523376490165
- Reputation-driven Cooperation in Lattice-based Decentralized Federated Learning through Evolution...
Huynh, Vinh, Lam, Truong, Bui, Dinh, Le Gia, Le Nguyen Nhat, Duong, Han, Nguyen, Trang
https://arxiv.org/abs/2608.01197 https://mastoxiv.page/@arXiv_csAI_bot/117036523769335776
- The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure
Thomas Allen, Ella Kim, Jonathan Nunes, Rita Xing, Charis Tsikkou
https://arxiv.org/abs/2608.01580 https://mastoxiv.page/@arXiv_mathAP_bot/117036470486364433
- Non-KKT Accumulation in Entropic Mirror Descent
Kuangyu Ding, Kim-Chuan Toh
https://arxiv.org/abs/2608.01658 https://mastoxiv.page/@arXiv_mathOC_bot/117036313981076116
toXiv_bot_toot

Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Joint spectrum of the sub-Laplacian and the Reeb vector field on three-dimensional Heisenberg Bie...
Yoshiaki Suzuki, Yuya Takeuchi
https://arxiv.org/abs/2608.03265 https://mastoxiv.page/@arXiv_mathDG_bot/117041829217291912
- On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions
Aparna Gupta, Avijit Pal, Bhaskar Paul
https://arxiv.org/abs/2608.03574 https://mastoxiv.page/@arXiv_mathFA_bot/117041867360537766
- A solution to Crouzeix's conjecture
Emiel Lorist, Felix Schwenninger
https://arxiv.org/abs/2608.03841 https://mastoxiv.page/@arXiv_mathCA_bot/117041865033049829
toXiv_bot_toot

[2026-08-05 Wed (UTC), no new articles found for q-bio.OT Other Quantitative Biology]
toXiv_bot_toot

Ku Klux Yam
bot by @…
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Crosslisted article(s) found for physics.comp-ph. https://arxiv.org/list/physics.comp-ph/new
[1/1]:
- Hybrid Two-Level Transport Method with Solution Decomposition in Macro and Micro Components
Caleb A. Shaw, Dmitriy Y. Anistratov
https://arxiv.org/abs/2607.01346 https://mastoxiv.page/@arXiv_mathNA_bot/116854910030264363
- Predicting Novel Stable Materials for Experimental Synthesis
Yuqi An, Sihong Zhu, Joseph Montoya, Xingyu Guo, Zhenbin Wang
https://arxiv.org/abs/2607.01713 https://mastoxiv.page/@arXiv_condmatmtrlsci_bot/116854978846171607
- An Optimisation Framework for the Well-Conditioned Training of Physics-Informed Neural Networks
Joseph Webb, Sadok Jerad, Coralia Cartis
https://arxiv.org/abs/2607.02194 https://mastoxiv.page/@arXiv_csLG_bot/116855143607520453
- Efficient Large-Scale STEM-EELS Simulations With Torched-TACAW
Martin Osmera, Jo\~ao Vaz, Paul M. Zeiger, J\'an Rusz
https://arxiv.org/abs/2607.02236 https://mastoxiv.page/@arXiv_condmatmtrlsci_bot/116855081674592173
- Grounded autonomous research: a fault-tolerant LLM pipeline from corpus to manuscript in frontier...
Haonan Huang
https://arxiv.org/abs/2607.02329 https://mastoxiv.page/@arXiv_csAI_bot/116855126306616827
- Beyond Adam: SOAP and Muon for Faster, Label-Efficient Training of Machine Learning Interatomic P...
Harari, Zimmermann, Kulseng, Zichi, Tan, Descoteaux, Kozinsky
https://arxiv.org/abs/2607.02499 https://mastoxiv.page/@arXiv_csLG_bot/116855152847861336
toXiv_bot_toot

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/2]:
- The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the...
Asgar Jamneshan, Or Shalom, Terence Tao
https://arxiv.org/abs/2303.04860 https://mastoxiv.page/@arXiv_mathDS_bot/109997807513962212
- Polynomial entropy of induced homeomorphisms on $C_k(\mathbb{S}^1)$ and $C_k([0,1])$
Ma\v{s}a {\DJ}ori\'c, Jelena Kati\'c
https://arxiv.org/abs/2509.06037 https://mastoxiv.page/@arXiv_mathDS_bot/115173666484478030
- On the geometric quantization of $\theta$-almost twisted Poisson manifold
Nasser Saipele Nansidi, Bertuel Tangue Ndawa, Joseph Dongho
https://arxiv.org/abs/2509.21168 https://mastoxiv.page/@arXiv_mathDS_bot/115269630154890083
- On the generating series of the degree sequence
Quang-Khai Nguyen
https://arxiv.org/abs/2510.06142 https://mastoxiv.page/@arXiv_mathDS_bot/115337828753858865
- Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections
Yuanchao Xu, Itsushi Sakata, Isao Ishikawa
https://arxiv.org/abs/2512.24953 https://mastoxiv.page/@arXiv_mathDS_bot/115819316279700435
- Refracting Filippov systems: sliding dynamics without sliding regions
D. J. W. Simpson
https://arxiv.org/abs/2603.10333 https://mastoxiv.page/@arXiv_mathDS_bot/116215253094993668
- Complete realization of multifractal entropy spectra and pressure functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
https://arxiv.org/abs/2605.20617 https://mastoxiv.page/@arXiv_mathDS_bot/116611418906721246
- Structural Causal Discovery and Predictive Sufficiency in High-Dimensional Dynamical Systems
Abd AlRahman R. AlMomani, Curtis N. James, Christopher C. Hennon, Ronny Schroeder
https://arxiv.org/abs/2606.00710 https://mastoxiv.page/@arXiv_mathDS_bot/116679365046680815
- Shadowing in Dynamical Systems: Zero-dimensional Extensions and Inverse Limits
Dekui Peng
https://arxiv.org/abs/2606.14435 https://mastoxiv.page/@arXiv_mathDS_bot/116752985726507271
- One residual set of Cantor graphs with dense conjugacy classes
Zhengyu Yin
https://arxiv.org/abs/2607.21018 https://mastoxiv.page/@arXiv_mathDS_bot/116973856140760258
- Hausdorff dimension of non-uniquely ergodic directions in eigenform loci
Yuming Wei, Pengyu Yang
https://arxiv.org/abs/2607.24181 https://mastoxiv.page/@arXiv_mathDS_bot/116996562370083221
- Sharp Cyclicity of Neutral Entry--Exit Cycles with Quadratic Grazing
Haibo Lu
https://arxiv.org/abs/2607.27464 https://mastoxiv.page/@arXiv_mathDS_bot/117013446092691734
toXiv_bot_toot

Crosslisted article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- Posterior Variance Is a Constraint Map, Not an Error Map: Closed-Form Uncertainty for Radiative G...
Chulin Zhao, Yiran Xu, Shu Liu
https://arxiv.org/abs/2607.13682 https://mastoxiv.page/@arXiv_csCV_bot/116928707811647772
- Domain-Generalized Adaptive Semantic Communication for Collaborative Perception
Fan Gao, Youzheng Wang, Ning Ge
https://arxiv.org/abs/2608.00056 https://mastoxiv.page/@arXiv_eessSP_bot/117036252275761839
- MBO Scheme for Local Chan--Vese Segmentation
Kevin Bui, Adina Ciomaga
https://arxiv.org/abs/2608.00893 https://mastoxiv.page/@arXiv_csCV_bot/117036520429041661
- Swimm3R: Splatting with Medium-aware SfM for Underwater 3D Reconstruction
Minseong Kweon, Junaed Sattar
https://arxiv.org/abs/2608.00950 https://mastoxiv.page/@arXiv_csCV_bot/117036523180798942
- Clear-Weighted Bit Allocation for Satellite Downlinks
Alireza Furutanpey, Qiyang Zhang, Yujie Huang, Philipp Raith, Schahram Dustdar
https://arxiv.org/abs/2608.01457 https://mastoxiv.page/@arXiv_csNI_bot/117036296713814965
- Joint Retrieval of Radial Wind, Terminal Fall Velocity, and Median Diameter From Single-Polarizat...
Tworit K. Dash, Hans Driessen, Oleg A. Krasnov, Alexander G. Yarovoy
https://arxiv.org/abs/2608.02364 https://mastoxiv.page/@arXiv_eessSP_bot/117036479139566444
toXiv_bot_toot

Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[2/2]:
- DESI DR2 Results IV: Alcock-Paczy\'nski Measurements from the Lyman Alpha Forest and Cosmological...
DESI Collaboration, et al.
https://arxiv.org/abs/2607.27410 https://mastoxiv.page/@arXiv_astrophCO_bot/117013490525496645
- Dark Drag Around Sagittarius A*
Javier F. Acevedo, Aidan J. Reilly, Lillian Santos-Olmsted
https://arxiv.org/abs/2510.01320 https://mastoxiv.page/@arXiv_hepph_bot/115309501571403945
toXiv_bot_toot

Alexandrov Theorem for constant weighted mean curvature surfaces
Florian Johne, Lauro Silini
https://arxiv.org/abs/2608.05119 https://arxiv.org/pdf/2608.05119 https://arxiv.org/html/2608.05119
arXiv:2608.05119v1 Announce Type: new
Abstract: We prove a Heintze--Karcher type inequality for a large class of log-convex weights in Euclidean and Hyperbolic spaces. As a consequence we obtain an Alexandrov theorem for $\lambda$-self expanders.
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Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[2/2]:
- Generic-case complexity of Whitehead's algorithm, revisited
Ilya Kapovich
https://arxiv.org/abs/1903.07040
- Exponential mixing for the randomly forced NLS equation
Yuxuan Chen, Shengquan Xiang, Zhifei Zhang, Jia-Cheng Zhao
https://arxiv.org/abs/2506.10318 https://mastoxiv.page/@arXiv_mathAP_bot/114675099940694476
- Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data
Christof Sch\"otz, Niklas Boers
https://arxiv.org/abs/2507.09652
- Limit theorems for inhomogeneous $\phi$-mixing Markov chains
Yeor Hafouta, Brenden Williams
https://arxiv.org/abs/2510.15323 https://mastoxiv.page/@arXiv_mathPR_bot/115405447591487390
- A kernel method for the learning of Wasserstein geometric flows
Jianyu Hu, Juan-Pablo Ortega, Daiying Yin
https://arxiv.org/abs/2511.06655 https://mastoxiv.page/@arXiv_mathNA_bot/115530572827554967
- Null-Validated Topological Signatures of Financial Market Dynamics
Samuel W. Akingbade
https://arxiv.org/abs/2602.00383 https://mastoxiv.page/@arXiv_qfinST_bot/116006072151481289
- Simple generators of rational function fields
Alexander Demin, Gleb Pogudin
https://arxiv.org/abs/2602.10878 https://mastoxiv.page/@arXiv_csSC_bot/116056681962763734
- Martin Boundary and Invariant Fields of Multiplicative SHE
Hongyi Chen
https://arxiv.org/abs/2602.16126 https://mastoxiv.page/@arXiv_mathPR_bot/116096386900973756
- Counting the number of $1_{m}$-preperiodic $\mathcal{O}_{K}$-points of a discrete dynamical syste...
Brian Kintu
https://arxiv.org/abs/2606.14468 https://mastoxiv.page/@arXiv_mathNT_bot/116753018953819097
- Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups
Dekui Peng
https://arxiv.org/abs/2606.27647 https://mastoxiv.page/@arXiv_mathGR_bot/116832321784455128
- Uniform $L^{\infty}$-Boundedness of Global Attractors for Reaction-Diffusion Equations with Neuma...
Antonio L. Pereira
https://arxiv.org/abs/2607.08061 https://mastoxiv.page/@arXiv_mathAP_bot/116894588437564813
- Stability of closed characteristics and invariant sets on star-shaped hypersurfaces
Huagui Duan, Zihao Qi
https://arxiv.org/abs/2607.15546 https://mastoxiv.page/@arXiv_mathSG_bot/116951161229689295
- Vakonomic Fluids
Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross, Anthony Gruber, Albert Chern
https://arxiv.org/abs/2607.18312 https://mastoxiv.page/@arXiv_mathph_bot/116962502170736360
toXiv_bot_toot

Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Two absolutely bounded determinantal ratios
Hristo Sendov, Mengxu Yuan
https://arxiv.org/abs/2608.04294 https://mastoxiv.page/@arXiv_mathRA_bot/117047470056736774
toXiv_bot_toot

Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[2/2]:
- Empirical Relationship Between Dark Matter and Baryon Profiles for Solving the Core-Cusp and Dive...
Kento Kamada
https://arxiv.org/abs/2512.23008 https://mastoxiv.page/@arXiv_astrophGA_bot/115807857809860714
- Traversable Wormholes induced by polytropic $n=1$ energy density
Remo Garattini, Francisco S. N. Lobo, Kirill Zatrimaylov
https://arxiv.org/abs/2603.12527 https://mastoxiv.page/@arXiv_grqc_bot/116237749184521305
- Primordial Black Holes: A Review of Formation and Evolution
S. Shankaranarayanan, Soumya Bhattacharya, Archit Vidyarthi
https://arxiv.org/abs/2606.23846
toXiv_bot_toot

Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle
Anna Siffert
https://arxiv.org/abs/2608.04952 https://arxiv.org/pdf/2608.04952 https://arxiv.org/html/2608.04952
arXiv:2608.04952v1 Announce Type: new
Abstract: We develop a new analytical framework for the local deformation theory of compact cohomogeneity-one Einstein metrics. The framework combines an intrinsic reformulation of the Einstein boundary-value problem with an auxiliary theory of equivariant harmonic maps and leads to what we call the Einstein Detection Principle. The auxiliary harmonic maps generate a rich variational, elliptic and spectral framework while introducing no additional Einstein degrees of freedom.
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Replaced article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- Neural Born Series Operator for Biomedical Ultrasound Computed Tomography
Zhijun Zeng, Yihang Zheng, Youjia Zheng, Yubing Li, Zuoqiang Shi, He Sun
https://arxiv.org/abs/2312.15575 https://mastoxiv.page/@arXiv_eessIV_bot/111650696390708128
- Validation of Fully-Automated Deep Learning-Based Fibroglandular Tissue Segmentation for Efficien...
Kuo, Kazerouni, Park, Surento, Sujichantararat, Hippe, Rahbar, Partridge
https://arxiv.org/abs/2511.07088 https://mastoxiv.page/@arXiv_eessIV_bot/115530696038686574
- Compact Convolutional Segmentation for Visual Landmark Extraction in GNSS-Denied UAV Navigation
Sude Ertan, Osman Tokluoglu, Mustafa Ozturk
https://arxiv.org/abs/2602.13814 https://mastoxiv.page/@arXiv_eessIV_bot/116085191792816320
- MoPET: Parameter-Efficient Mixture-of-Experts for Unified Medical Image Classification
Sebastian Doerrich, Daniel W\"urtinger, Francesco Di Salvo, Shyam Nandan Rai, Christian Ledig
https://arxiv.org/abs/2607.29462 https://mastoxiv.page/@arXiv_eessIV_bot/117030474953723399
- DeepConvContext: A Multi-Scale Approach to Timeseries Classification in Human Activity Recognition
Marius Bock, Juergen Gall, Michael Moeller, Kristof Van Laerhoven
https://arxiv.org/abs/2505.20894 https://mastoxiv.page/@arXiv_csLG_bot/114584281696936572
- Intersectional Disentangling of Temporal and Acquisition Bias in Fetal Ultrasound
Elgebaly, Fournel, Jurgensen, Mikolaj, Christensen, Tolsgaard, Ladefoged, Feragen
https://arxiv.org/abs/2605.02942 https://mastoxiv.page/@arXiv_csLG_bot/116526634248740841
toXiv_bot_toot

Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Singularity of non-pluripolar cohomology classes
Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu
https://arxiv.org/abs/2508.14669 https://mastoxiv.page/@arXiv_mathCV_bot/115065656430154433
- Analytic structure of $q$-pseudoconcave subsets of continuous graphs
Filippo Valnegri
https://arxiv.org/abs/2603.04967 https://mastoxiv.page/@arXiv_mathCV_bot/116181309294452296
- Non-symmetric vector dyson equations
Jiaoyang Huang, Zhonggen Su, Ruizhe Xu
https://arxiv.org/abs/2607.16333 https://mastoxiv.page/@arXiv_mathCV_bot/116956844212485469
- Cofinite Zeros of High Derivatives
Eric Hou
https://arxiv.org/abs/2607.20816 https://mastoxiv.page/@arXiv_mathCV_bot/116973837268195335
- Coefficient Problems for a Ma-Minda Convex Class Associated with the Normalized Arcsine Mapping
Shantanu Panja, Abhijit Banerjee, Jhilik Banerjee, Sujoy Majumder
https://arxiv.org/abs/2607.27293 https://mastoxiv.page/@arXiv_mathCV_bot/117013548331556229
- Skoda division theorem on compact K\"ahler manifolds for line bundles with singular hermitian met...
Jaehoon Jeong
https://arxiv.org/abs/2607.29669 https://mastoxiv.page/@arXiv_mathCV_bot/117030527056701741
- Classes of Holomorphic Multicomplex-Valued Functions Generated by Elliptic-Admissible Involutions
Nicolas Doyon, Pierre-Olivier Paris\'e, William Verreault
https://arxiv.org/abs/2211.13875
- Fast vanishing cycles on perturbations of complex weighted-homogeneous complete intersection germs
Dmitry Kerner, Rodrigo Mendes
https://arxiv.org/abs/2311.13423 https://mastoxiv.page/@arXiv_mathAG_bot/111458171750230260
toXiv_bot_toot

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[2/2]:
- Monodromy action on character varieties for Lefschetz pencils
Ishan Banerjee
https://arxiv.org/abs/2608.01700 https://mastoxiv.page/@arXiv_mathAG_bot/117036317126130150
- Exponential mixing for Korteweg-de Vries equation with localized noise
Yuxuan Chen, Shengquan Xiang, Zhifei Zhang, Jia-Cheng Zhao
https://arxiv.org/abs/2608.01863 https://mastoxiv.page/@arXiv_mathAP_bot/117036472648751140
- Minimal Hyperbolic Area of Teichmuller Curves in Genus Two
Xiaoyu Su, Yumin Zhong
https://arxiv.org/abs/2608.01984 https://mastoxiv.page/@arXiv_mathGT_bot/117036268760239763
- Feed-Forward Steering in Transformer Residual Dynamics
Timur Mudarisov, Mikhail Burtsev, Radu State
https://arxiv.org/abs/2608.02071 https://mastoxiv.page/@arXiv_csLG_bot/117036543038427323
- Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$
Yujie Luo, Sheng Meng
https://arxiv.org/abs/2608.02114 https://mastoxiv.page/@arXiv_mathAG_bot/117036319880674445
- ICC property(T) groups without W$^*$-superrigidity
Shuoxing Zhou
https://arxiv.org/abs/2608.02327 https://mastoxiv.page/@arXiv_mathOA_bot/117036168682911970
- The Geometry and Dynamics of Spiral Minimal Products
Haizhong Li, Yongsheng Zhang
https://arxiv.org/abs/2608.02370 https://mastoxiv.page/@arXiv_mathDG_bot/117036305133115376
- Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications
Son N. T. Tu, Jianlu Zhang
https://arxiv.org/abs/2608.02489 https://mastoxiv.page/@arXiv_mathAP_bot/117036492113428030
toXiv_bot_toot

Replaced article(s) found for eess.IV. https://arxiv.org/list/eess.IV/new
[1/1]:
- MalariAI: A Label-Resilient Decoupled Framework for Annotation-Agnostic Cell Segmentation and Exp...
Kaysarul Anas Apurba, Md Hasibul Hasan, Mohammed Ali, Tanzilur Rahman
https://arxiv.org/abs/2607.00385 https://mastoxiv.page/@arXiv_eessIV_bot/116849282564444519
toXiv_bot_toot

Non-uniqueness of geodesic limits and a question of Grayson and Gage
Shrey Aryan, Tang-Kai Lee
https://arxiv.org/abs/2608.04855 https://arxiv.org/pdf/2608.04855 https://arxiv.org/html/2608.04855
arXiv:2608.04855v1 Announce Type: new
Abstract: Grayson and Gage proved that an immortal curve shortening flow of simple closed curves on a closed surface converges subsequentially to a closed geodesic, and they asked whether this limiting geodesic is unique. We answer this question negatively by constructing a smooth Riemannian metric on $\mathbb{S}^2$ and an immortal simple closed curve shortening flow that converges along different sequences of times to every geodesic in a one-parameter family of distinct simple closed geodesics.
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Fanta Fascist
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[2026-08-06 Thu (UTC), 4 new articles found for math.CV Complex Variables]
toXiv_bot_toot

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime
Nicola Gigli, Argam Ohanyan, Marco Picerni, Zhe-Feng Xu, Matteo Zanardini
https://arxiv.org/abs/2608.04718 https://arxiv.org/pdf/2608.04718 https://arxiv.org/html/2608.04718
arXiv:2608.04718v1 Announce Type: new
Abstract: We study the directed completion of Lorentzian pre-length spaces, and we show that, under some natural assumptions which cover the case of smooth globally hyperbolic spacetimes, it coincides with the future causal completion of Geroch--Kronheimer--Penrose. Moreover, we provide applications of our findings by characterizing the directed completion of the Kruskal--Szekeres spacetime in terms of its radial null geodesics.
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[2026-08-05 Wed (UTC), 9 new articles found for math.DS Dynamical Systems]
toXiv_bot_toot

[2026-08-05 Wed (UTC), 2 new articles found for math.CV Complex Variables]
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[2026-08-06 Thu (UTC), 2 new articles found for eess.IV Image and Video Processing]
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[2026-08-06 Thu (UTC), 7 new articles found for astro-ph.CO Cosmology and Nongalactic Astrophysics]
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Envelopes created by curve families in the Lorentz-Minkowski plane
Masatomo Takahashi, Yongqiao Wang
https://arxiv.org/abs/2608.04506 https://arxiv.org/pdf/2608.04506 https://arxiv.org/html/2608.04506
arXiv:2608.04506v1 Announce Type: new
Abstract: Classical definitions of envelopes are vague for singular curves in the Lorentz-Minkowski plane. To study envelopes of such curves, we introduce a family of smooth curves that may admit singular points. Notably, the curves considered here may contain both non-lightlike and lightlike points. We then propose a new definition of envelopes for such curves and investigate their properties using lightlike tangential data. Furthermore, we examine the contact between the curves and their envelopes at singular points.
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Dorito Mussolini
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[2026-08-05 Wed (UTC), 5 new articles found for eess.IV Image and Video Processing]
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Rank 2 Affine Invariant Subvarieties in H(6)
Pramana Saldin, Ruocheng Yang
https://arxiv.org/abs/2608.02855 https://arxiv.org/pdf/2608.02855 https://arxiv.org/html/2608.02855
arXiv:2608.02855v1 Announce Type: new
Abstract: We classify rank 2 rel 0 arithmetic affine invariant subvarieties in the minimal stratum H(6). The proof follows and extends Apisa's approach in genus three, reducing the analysis to the classification of rank 1 rel 1 cylinder rigid affine invariant subvarieties in lower-genus boundary strata. In particular, together with the classification of algebraically primitive rank 2 rel 0 orbit closures, this gives a complete description of rank 2 affine invariant subvarieties in H(6).
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An Infinitesimal Circular Morera Theorem
Qiteng Guo, Ao Xiao
https://arxiv.org/abs/2608.04540 https://arxiv.org/pdf/2608.04540 https://arxiv.org/html/2608.04540
arXiv:2608.04540v1 Announce Type: new
Abstract: We prove an infinitesimal circular version of Morera's theorem. Let $D\subset\mathbb{C}$ be a domain and let $f\in C(D)$. If, at every $a\in D$, $\int_{\vert{}\zeta-a\vert{}=r}f(\zeta)\,d\zeta=o(r^2)$ as $r\to0^ $, then $f$ is holomorphic in $D$. In particular, exact vanishing of all sufficiently small centered circular integrals implies holomorphicity. The proof uses a local distributional $\partial$-primitive, a circular identity for weak $\partial$-derivatives, and a pointwise asymptotic mean-value criterion for harmonicity.
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Rumpelthinskin
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Holonomy Asymptotics along Quartic Differential Rays
Weihan Ma
https://arxiv.org/abs/2608.04729 https://arxiv.org/pdf/2608.04729 https://arxiv.org/html/2608.04729
arXiv:2608.04729v1 Announce Type: new
Abstract: Let \(X\) be a closed Riemann surface and let \(q\in H^0(X,K^4)\) be a nonzero holomorphic quartic differential on \(X\). For \(t >0\), the ray \(tq\) determines a family of Hitchin representations in the \(\operatorname{PSp}(4,\mathbb R)\)-Hitchin component. We study, as \(t\to \infty\), the asymptotic behavior of their holonomy along closed curves. We obtain explicit asymptotic formulas for all singular values and for the absolute values of all eigenvalues of the holonomy. Their logarithmic growth rates are given by integrating the local fourth roots of \(q\) along the saddle connections forming the geodesic representative of the curve with respect to the singular flat metric \(\lvert q\rvert^{1/2}\). No restriction is imposed on the orders of the zeros of \(q\).
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Fractal properties of the cosmic web
Jaan Einasto
https://arxiv.org/abs/2608.04694 https://arxiv.org/pdf/2608.04694 https://arxiv.org/html/2608.04694
arXiv:2608.04694v1 Announce Type: new
Abstract: The cosmic web is one of the most complex systems in nature, consisting of galaxies and clusters of galaxies connected by filaments and walls, and separated by large empty regions known as cosmic voids. The most common method for describing the web is the correlation function and its derivative, the structure function and fractal dimension function. In this paper I review the fractal properties of the cosmic web within the concordance {\Lambda}CDM framework. I describe how the fractal function is derived from the angular and spatial distributions of galaxies and discuss the relations between these approaches.
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Polygonal Refractive Outer Billiards
Jaewoo Park
https://arxiv.org/abs/2608.02936 https://arxiv.org/pdf/2608.02936 https://arxiv.org/html/2608.02936
arXiv:2608.02936v1 Announce Type: new
Abstract: Extending recent work on refractive billiards, we introduce and study the corresponding refractive outer billiards system about a convex polygon. Gutkin and Simanyi showed in 1992 that for regular outer billiards, orbits about a certain class of polygons called quasi-rational polygons are bounded, and that orbits about rational polygons are periodic. Tabachnikov and Culter later proved in 2007 that every outer billiard system about a convex polygon admits a periodic trajectory. We generalize both results to the refractive setting.
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Tangelo Mump
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Visualization of Complex Projective Curves
Seth Dutter
https://arxiv.org/abs/2608.04323 https://arxiv.org/pdf/2608.04323 https://arxiv.org/html/2608.04323
arXiv:2608.04323v1 Announce Type: new
Abstract: We introduce a nonlinear map $\alpha:\mathbb{C}^2\rightarrow\mathbb{R}^3$ with the purpose of visualizing curves. Basic properties of $\alpha$ are proved, including preservation of orthogonality, recovery of the magnitudes of vectors in the preimage, and continuous extension of $\alpha$ to $\widetilde{\alpha}:\mathbb{P}^2_\mathbb{C}\rightarrow\mathbb{R}^3$. For plane curves $Z\subset\mathbb{P}^2_\mathbb{C}$, it is proved that $\widetilde{\alpha}(Z)$ is the union of boundaries of star-shaped domains. Methods are established to descend finite-order automorphisms of smooth projective curves to rotations of their images in $\mathbb{R}^3$. Efficient techniques for creating meshes and ray-traced images of $\widetilde{\alpha}(Z)$ are developed.
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Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature
Xiaohan Cai, Mijia Lai
https://arxiv.org/abs/2608.04553 https://arxiv.org/pdf/2608.04553 https://arxiv.org/html/2608.04553
arXiv:2608.04553v1 Announce Type: new
Abstract: Let $\mathcal{H}_d(M)$ denote the space of harmonic functions of polynomial growth at most degree $d$ on a complete Riemannian manifold. Yau raised two fundamental questions regarding $\mathcal{H}_d(M)$ on complete manifolds with nonnegative Ricci curvature. The first question is the finite dimensionality of $\mathcal{H}_d(M)$, which is confirmed by Colding and Minicozzi. The second question asks whether a sharp upper bound by its Euclidean analog $\operatorname{dim}\mathcal{H}_{d}(\mathbb{R}^n)$ is true. We verify that if $(M,g)$ is a locally conformally flat manifold with nonnegative Ricci curvature, then the sharp Euclidean bound holds, i.e., $\operatorname{dim}(\mathcal{H}_{d}(M))\leq \operatorname{dim}(\mathcal{H}_d(\mathbb{R}^n))$.
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ScoreField: Neural Inverse Scattering with Score-Based Generative Priors
Wenhan Guo, Yuan Gao, Yu Sun
https://arxiv.org/abs/2608.02937 https://arxiv.org/pdf/2608.02937 https://arxiv.org/html/2608.02937
arXiv:2608.02937v1 Announce Type: new
Abstract: Designing an effective electromagnetic inverse-scattering solver requires faithful enforcement of nonlinear full-wave physics together with an expressive prior on the unknown permittivity contrast. We propose ScoreField, a neural inverse scattering framework that integrates coupled implicit neural representations (INRs) with a pretrained score-based generative prior. ScoreField employs two INRs to parameterize the permittivity contrast and the induced current fields, and jointly optimize them under the Lippmann-Schwinger equations. In addition to the implicit regularization by the INR architecture, the score model provides a learned prior gradient on the contrast, which is propagated to the contrast INR through the chain rule. This formulation enables ScoreField to effectively handle strong multiple scattering, where nonlinear wave interactions require accurate modeling of the coupled full-wave physics. We evaluate ScoreField on simulated weak- and strong-scattering benchmarks, the canonical Austria phantom, and experimental Fresnel measurements. We note that ScoreField significantly improves reconstruction fidelity and suppresses artifacts relative to classical full-wave methods and deep learning baselines, achieving an average PSNR improvement of $1.8 \, \mathrm{dB}$ over the best competing method on real Fresnel data.
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Modified Cosmological Expansion and the JWST CMB Optical Depth Tension in Self Interaction Gravity
Subhadeep Mukherjee, Shashank Shekhar Pandey, A. S. Majumdar
https://arxiv.org/abs/2608.03470 https://arxiv.org/pdf/2608.03470 https://arxiv.org/html/2608.03470
arXiv:2608.03470v1 Announce Type: new
Abstract: Recent James Webb Space Telescope (JWST) observations favor an earlier and more efficient reionization history, leading to Thomson-scattering optical depths larger than those inferred from the cosmic microwave background (CMB). We investigate whether this tension can be alleviated within the framework of self-interaction (SI) gravity by modifying the cosmological expansion history while retaining the standard astrophysical description of reionization. The SI gravity parameters are constrained through a Bayesian MCMC analysis of the Union3 Type Ia supernova and DESI DR2 Baryon Acoustic Oscillations (BAO) data. The resulting expansion history is then used to predict the ionization history and Thomson optical depth. We find that the predicted optical depth decreases from $\tau_{\rm{CMB}}\simeq0.076$ in $\Lambda$CDM to $\tau_{\rm{CMB}}\simeq0.061$, consistent with the Planck PR4 measurement within $1\sigma$, thereby substantially reducing the optical-depth tension.
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Been-a-Dick Donald
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A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding Conjecture
Bingyang Hu, Jie Xiao, Xiaojing Zhou
https://arxiv.org/abs/2608.04981 https://arxiv.org/pdf/2608.04981 https://arxiv.org/html/2608.04981
arXiv:2608.04981v1 Announce Type: new
Abstract: In this paper, we disprove a conjecture of Liu, Lou, and Zhu concerning Carleson embeddings of $\mathcal Q_p$ spaces into tent spaces for $0<p><1$. More precisely, we construct a finite positive $p$-Carleson measure $\mu$ on the unit disc $\mathbb D$ such that the canonical embedding $$ \operatorname{id}:\mathcal Q_p \longrightarrow \mathcal T_{p,2}^2(\mu) $$ is not bounded. The main ingredient is a new family of $\mathcal Q_p$ test functions that encodes Cantor-type structures on the unit circle $\mathbb T$ into the analytic behavior of functions in $\mathcal Q_p$. This construction is inspired by ideas developed in a recent work of the first and third authors on composition operators on $\mathcal Q_p$ spaces.
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Dynamics of Fractional Wave Equations with Nonlocal Damping
Ra\'ul E. Vidal, Vando Narciso
https://arxiv.org/abs/2608.02842 https://arxiv.org/pdf/2608.02842 https://arxiv.org/html/2608.02842
arXiv:2608.02842v1 Announce Type: new
Abstract: In this work we study a fractional wave equation with Balakrishnan--Taylor type damping posed on a bounded domain $\Omega\subset\mathbb{R}^n$. The model couples the fractional Laplacian with a nonlinear damping coefficient depending on the fractional energy, leading to a doubly nonlocal evolution equation that extends the classical wave equation with energy-dependent dissipation. By means of the theory of linear operators, we establish the global well-posedness of both mild and regular solutions. We then investigate the long-time dynamics of the associated semigroup and prove that it is gradient and asymptotically smooth. As a consequence, we establish the existence of a compact global attractor and show that it coincides with the unstable manifold of the set of stationary solutions. To the best of our knowledge, this provides the first characterization of the asymptotic dynamics for fractional wave equations with Balakrishnan--Taylor type damping.
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Predictive Enhancement Calibration for Latent Breast MRI Virtual Contrast Enhancement
Qin Lei, Hao Wu
https://arxiv.org/abs/2608.03612 https://arxiv.org/pdf/2608.03612 https://arxiv.org/html/2608.03612
arXiv:2608.03612v1 Announce Type: new
Abstract: Virtual contrast enhancement (VCE) synthesizes enhanced breast MR images from pre-contrast acquisitions. Modern latent generators offer strong image priors, but their bounded natural-image autoencoders conflict with the non-canonical intensity scale of MRI. We show that the upper bound can alter radiomic fidelity before generation, while scaling source and target independently creates a coordinate inconsistency. We propose Predictive Enhancement Calibration (PEC), which represents each pair in a shared, case-adaptive coordinate during training and predicts its unavailable upper endpoint from the pre-contrast image at inference. We integrate PEC with a pretrained FLUX latent flow transformer via parameter-efficient reference conditioning. Target round trips first isolate representation loss before generation; near-matched conditional models then compare PEC with fixed-wide and separate coordinates under comparable training budgets and backbone settings. On the fixed internal MAMA100 development cohort, PEC improves all eight point estimates in this source-only VCE setting, with paired evidence strongest for MSE and LPIPS.\noindent\textbf{Code:} https://github.com/tanlei0/pec-breast-mri-vce
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Large mass limits of $\mathrm{G}_2$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization
Daniel Fadel, Goncalo Oliveira
https://arxiv.org/abs/2608.05128 https://arxiv.org/pdf/2608.05128 https://arxiv.org/html/2608.05128
arXiv:2608.05128v1 Announce Type: new
Abstract: We study large mass monopoles with structure group $\mathrm{SU}(2)$ or $\mathrm{SO}(3)$ on asymptotically conical $\mathrm{G}_2$-manifolds and Calabi--Yau $3$-folds, with fixed asymptotic class. After placing the AC asymptotic theory, the variational compactness theory of Parise--Pigati--Stern, and Li's singular abelian compactness theory in a common $\Theta$-monopole framework, we prove that the mass-renormalized Yang--Mills--Higgs and intermediate energy measures converge to $8\pi\|T\|$ for a compactly supported calibrated integral codimension-three cycle $T$. This identifies the two limiting currents and shows that the variational calibration inequalities are saturated. Using this common limit as the starting point for a finer analysis, if $\mathcal S$ is the calibrated support, $\mathcal Z$ the Kuratowski upper limit of the Higgs zero sets, and $\mathcal C$ the limiting nonabelian locus, defined as the Kuratowski upper limit of Li's curvature concentration loci, then $\mathcal S\subset\mathcal Z\subset\mathcal C=\mathcal S\cup\mathcal O$, where $\mathcal O$ is precisely the obstruction to effective codimension-three monotonicity. For the cohomogeneity-one large mass families on the Bryant--Salamon $\mathrm{G}_2$-manifolds and the Stenzel Calabi--Yau $3$-fold, we prove that $\mathcal O=\varnothing$. On $X\setminus\mathcal C$ the sequence abelianizes; corrected longitudinal curvatures converge smoothly, and the remaining compactness alternatives are governed by $L^2$-harmonic $2$-forms.
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Integrated cosmological memory: A dark-siren method to probe dark energy
Indranil Chakraborty, Sayantan Ghosh, Susmita Jana, Archana Pai, S. Shankaranarayanan
https://arxiv.org/abs/2608.03739 https://arxiv.org/pdf/2608.03739 https://arxiv.org/html/2608.03739
arXiv:2608.03739v1 Announce Type: new
Abstract: Gravitational-wave (GW) cosmology is currently bottlenecked by the scarcity of electromagnetic counterparts for bright sirens and the systematic uncertainties of galaxy catalogs for dark sirens. We propose a purely gravitational resolution using the Integrated Cosmological Memory (ICM)-the cumulative GW strain encoded in the spacetime geometry of an expanding Universe. While the GW transient emitted by the source provides the luminosity distance, the ICM accumulates a mathematically distinct integral of the cosmic expansion history. We demonstrate that extracting both observables from a single binary merger completely breaks the distance-redshift degeneracy within the gravitational sector. This establishes a novel, catalog-free dark siren framework for third-generation GW detector networks. Crucially, the resulting constraints on late-time dark energy are only weakly sensitive to the local expansion rate, providing a robust cosmological probe that can potentially mitigate the impact of the H0 tension.
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Gropey the Clown
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Polynomially Deformed Normalized Pochhammer Sequences Having Generating Functions With Only Real Non-positive Zeros
Anna Vishnyakova
https://arxiv.org/abs/2608.03723 https://arxiv.org/pdf/2608.03723 https://arxiv.org/html/2608.03723
arXiv:2608.03723v1 Announce Type: new
Abstract: For a given real number $a>0$ and a given real polynomial $P_n\in \mathbb{R}[x]$ of degree $n=0, 1, 2, \ldots$ it is easy to see that $ \sum_{k=0}^\infty \frac{(a)_k}{k!} P_n(k) z^k =\frac{S_{n, a}(z)}{(1-z)^{a n}}, \ |z|<1, $ where $S_{n, a}$ is a real polynomial of degree not greater than $n.$ Here $(a)_k =a(a 1)\cdot \ldots \cdot (a k-1),\ (a)_0 = 1,$ is the rising factorial, or the Pochhammer symbol. We consider the following open problem: to describe the set of real polynomials $P_n\in \mathbb{R}[x]$ of degree $n=0, 1, 2, \ldots,$ such that the corresponding polynomial $S_{n, a}$ has all real non-positive zeros. In the case $a=1$ this problem has been studied in \cite{vish}. We establish several new necessary conditions and several sufficient conditions, present a number of important examples, and formulate several open problems.
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Product sets in sets of returns and positivity of symmetric ergodic averages
Vitaly Bergelson, Sa\'ul Rodr\'iguez-Mart\'in
https://arxiv.org/abs/2608.02873 https://arxiv.org/pdf/2608.02873 https://arxiv.org/html/2608.02873
arXiv:2608.02873v1 Announce Type: new
Abstract: We study sets of (measurable) returns in countable groups $G$, namely sets of the form $\{g\in G:\mu(A\cap T_gA)>0\}$ arising from measure-preserving actions. Extending a result of Bergelson, we show that sets of returns in $G\times G$ contain subsets of the form $B\times B$, where $B$ is large with respect to suitable notions of largeness that remain meaningful even for non-amenable groups. As a consequence, if $G$ is amenable, then every sufficiently large subset $A\subseteq G\times G$ satisfies $B\times B\subseteq AA^{-1}$ for some large set $B\subseteq G$.
We also investigate when sets of returns in $G$ contain product sets $BB$ with $B$ large. In contrast with the Cartesian-product phenomenon above, this problem is considerably subtler in non-abelian groups and is closely connected to `symmetric correlation functions', namely functions of the form $g\mapsto \mu(T_g^{-1}A\cap T_gA)$. We use this connection to show that, for broad classes of amenable groups - including finitely generated nilpotent groups and certain solvable non-nilpotent groups, every sufficiently large set $A\subseteq G$ contains a large subset $B$ satisfying $BB\subseteq AA^{-1}$.
Finally, we establish polynomial analogues of these results for finitely generated nilpotent groups, extending earlier work of Bergelson and Ruzsa.
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Unsupervised Adversarial Domain Adaptation for Uterine layer Segmentation: From Labeled Cine to Unlabeled Dynamic EPI MRI
Smiti Tripathy, Milauni Desai, Jordina Aviles Verdera, Jana Hutter
https://arxiv.org/abs/2608.03762 https://arxiv.org/pdf/2608.03762 https://arxiv.org/html/2608.03762
arXiv:2608.03762v1 Announce Type: new
Abstract: Uterine peristalsis is a key physiological phenomenon responsible for various functions across the menstrual cycle, intimately linked to uterine wall microstructure. Alterations in uterine motion and tissue properties are implicated in the etiology of gynecological diseases, yet these processes have been studied in isolation. We introduce a dynamic multi-echo gradient echo EPI framework for simultaneous characterization and correlation of uterine peristaltic activity and time-resolved T2* changes at 0.55T. Inherent susceptibility artifacts, reduced resolution, and burden of manual uterine layer annotation are addressed by an unsupervised adversarial domain adaptation framework, transferring segmentation knowledge from labeled cine MRI to unlabeled dynamic EPI. We implemented Unet-LSTM with multi-scale domain discriminators that exploits temporal layer dynamics. A Dice score of 0.88 and Jaccard index of 0.80 was achieved. Mean T2* values were 108ms, 76ms, and 124ms for the myometrium, junctional zone, and endometrium. A negative correlation between junctional zone area and T2* was observed in 14/39 cases, providing first insights into oxygenation patterns associated with junctional zone contraction and motion, demonstrating feasibility of assessing the interplay between contractility and dynamic T2* changes.
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Characterising the epoch of reionisation using the cross-correlation of the kSZ effect and CMB lensing
Niall MacCrann, Christopher Cain, Aleksandra Kusiak, Fiona McCarthy, Alexander Van Engelen, Darby Kramer, William R. Coulton, Frank J. Qu
https://arxiv.org/abs/2608.04868 https://arxiv.org/pdf/2608.04868 https://arxiv.org/html/2608.04868
arXiv:2608.04868v1 Announce Type: new
Abstract: We investigate the cross-correlation of the kinematic Sunyaev-Zeldovich (kSZ) effect with lensing of the cosmic microwave background (CMB) as a probe of the epoch of reionisation. During reionisation, bubbles of ionised electrons form around overdensities, generating temperature perturbations in the CMB via the kSZ effect, which correlate with the projected matter density field probed by CMB lensing. We demonstrate using AMBER simulations that this effect can be probed via cross-correlating the squared kSZ field with the CMB lensing potential, and that the signal is sensitive to the duration and midpoint of reionisation. We forecast that for a Simons Observatory-like experiment with 5$\mu$K-arcmin white noise, covering 40% of the sky, the signal could be marginally detected at $S/N$ = 2 to 3. Meanwhile, a futuristic experiment like CMB-HD could provide a measurement of $S/N \sim 50$, yielding informative constraints on reionisation scenarios. We investigate potential challenges in measuring the signal and explore mitigation for each: contamination from extragalactic foregrounds at low redshift, contamination of the kSZ-squared estimator by lensing, and other estimator biases.
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Flaccido Domingo
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Explicit Estimates for the Bergman Kernel Form on Polarized Riemann Surfaces for General Tensor Powers
Johannes Testorf
https://arxiv.org/abs/2608.03493 https://arxiv.org/pdf/2608.03493 https://arxiv.org/html/2608.03493
arXiv:2608.03493v1 Announce Type: new
Abstract: Let $(L,e^{-\phi})$ be a positive Hermitian holomorphic line bundle over a compact Riemann surface $X$, and put $\omega=\ddbar\phi$. We obtain effective pointwise estimates for the Bergman form of $H^0(X,K_X\otimes L^m)$. If $\Ric\omega\leq\omega$ and the shortest nonconstant closed geodesic has length at least $2\pi$, then \[
K_{m\phi}\geq \frac{2m-1}{4\pi}\,\omega, \] and the constant is sharp on $(\mathbb P^1,\mathcal O_{\mathbb P^1}(2))$. A local version, depending on an upper curvature bound and the injectivity radius, recovers the first two terms of the Bergman expansion when the curvature is constant. Under the two-sided bound $-\omega\leq\Ric\omega\leq\omega$ and the same closed-geodesic hypothesis, we also prove \[ K_{m\phi}\leq \frac{m\omega}{2\pi}
\left(1 \frac{54.8\log(2m)}{m-\frac{1}2}\right). \] The lower estimates use the deformation-to-the-tangent-space form of the Ohsawa--Takegoshi theorem established by He, Wang, and the author, whereas the upper bound combines a weighted submean inequality with quantitative isothermal coordinates which was obtained in recent work by Eilat.
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Predicting the occurrence of Braess paradox in the synchronization threshold of coupled oscillator systems
Justin Arches, Emmanuel Fleurantin, Matt Holzer, Siddhant Sood, Shakeeb Uddin
https://arxiv.org/abs/2608.03594 https://arxiv.org/pdf/2608.03594 https://arxiv.org/html/2608.03594
arXiv:2608.03594v1 Announce Type: new
Abstract: We study Braess-type paradoxes in coupled oscillator networks where the addition of an edge to the network leads to an increase in the critical coupling required for the existence of a stable phase-locked synchronized solution. By introducing a continuous edge-weight parameter and constructing an augmented system that allows application of the Implicit Function Theorem, we derive an explicit first-order formula for the sensitivity of the critical coupling, $K'_c(0)$, to small changes in the network structure. This formula reveals that an edge is locally Braess if the ordering of the oscillators being coupled is opposite the ordering of their components in the critical eigenvector at the saddle-node bifurcation, providing a simple criterion for Braess paradox to occur. We then employ this local approximation as a predictor for the occurrence of Braess paradox when the edge is fully incorporated in the network. This prediction is tested numerically in several classes of random networks, demonstrating both high predictive fidelity and the nonlinear limitations of the local approximation. We also examine several explicit examples, highlighting possible motifs by which Braess-type paradoxes occur. Together, these results establish a predictive framework for understanding how incremental changes in network topology can produce counterintuitive synchronization outcomes.
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DefoEye: Python-Based Software for Facilitating Time-Series InSAR Analysis of Sentinel-1 Remote-Sensing Data
Alireza Taheri Dehkordi, Hossein Hashemi, Amir Naghibi
https://arxiv.org/abs/2608.04915 https://arxiv.org/pdf/2608.04915 https://arxiv.org/html/2608.04915
arXiv:2608.04915v1 Announce Type: new
Abstract: Many existing time-series Interferometric Synthetic Aperture Radar (TS-InSAR) software tools have limitations, including restricted geographic applicability, commercial licensing, and incomplete end-to-end processing support. Although GMTSAR avoids some of these constraints, it still requires substantial manual intervention and C-shell commands, lacks a user-friendly graphical interface, and omits important steps such as interferogram network pruning and anchoring of unwrapped interferograms. This paper introduces DefoEye (v1), an open-source Python-based software package that wraps GMTSAR and provides a unified, user-friendly TS-InSAR workflow for Sentinel-1 data. DefoEye supports parallel job execution, interferogram network pruning, and multiple anchoring options. Its performance was evaluated from 2020 to 2024 in four regions with different geological settings, deformation mechanisms, and atmospheric and climatic conditions. In Bologna, Italy; Gotland, Sweden; and Houston, USA, DefoEye results were compared with observations from 10 GNSS stations and showed strong agreement, with RMSE values of 4.3-11.9 mm and Pearson correlation coefficients of 0.63-0.95. In Karaj, Iran, where GNSS observations were unavailable, DefoEye was compared with other widely used processing tools and achieved similarly close agreement, with an RMSE of 4.8 mm/yr and a Pearson correlation coefficient of 0.98. These results demonstrate that DefoEye provides reliable TS-InSAR products for geological, hydrological, and environmental applications.
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Fisher Forecasting for the DESC with $\texttt{Augur}$
Paul Rogozenski, Sankarshana Srinivasan, Javier S\'anchez, Nora Elisa Chisari, Arthur Loureiro, Marc Paterno, Rebekah Polen, Heather Prince, Biancamaria Sersante, An\v{z}e Slosar, Sandro Vitenti, Carlos Garc\'ia-Garc\'ia, Eric Gawiser, Christos Georgiou, C. Danielle Leonard, Ayan Mitra, Jeremy Neveu, The LSST Dark Energy Science Collaboration
https://arxiv.org/abs/2608.03876 https://arxiv.org/pdf/2608.03876 https://arxiv.org/html/2608.03876
arXiv:2608.03876v1 Announce Type: new
Abstract: The Vera C. Rubin Observatory Legacy Survey of Space and Time (LSST) has begun its ten-year survey of the entire visible southern hemisphere. To ensure robust cosmological measurements, computationally inexpensive investigations of modeling choices must be made to gauge the performance of proposed cosmological analyses. In this paper, we introduce the $\texttt{Augur}$ tool of the Dark Energy Science Collaboration (DESC), which provides Fisher forecasts for cosmological inference for the LSST using software frameworks designed for DESC science. We test the pipeline by comparing it to forecasts produced by external code and direct sampling of the posterior via nested sampling methods, finding good agreement between all methods. We additionally investigate a range of modeling and hyperparameter choices for a 3$\times$2pt investigation in harmonic space, providing users with diagnostics to obtain reliable forecasts. $\texttt{Augur}$ will be continually updated to be compatible with the other tools in the DESC software ecosystem as additional probes and functionality become available.
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Hair GropenFürhrer
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Sharp Orlicz Endpoints for Spatial-Temporal Ergodic Averaging
Jie Li
https://arxiv.org/abs/2608.03767 https://arxiv.org/pdf/2608.03767 https://arxiv.org/html/2608.03767
arXiv:2608.03767v1 Announce Type: new
Abstract: We study the composition of temporal ergodic averaging with spatial averaging over shrinking metric balls, and determine sharp Orlicz endpoints for the corresponding unrestricted joint limit. For consecutive Birkhoff averages normalized by $N\Lambda_q(N)$ ($q\ge 0$), the sharp Orlicz endpoint is $L\log_{q 1}L$. In particular, the ordinary case $q=0$ yields an $L\log L$ local joint convergence theorem under the Lebesgue differentiation property alone, while $L^1$ fails even on the Euclidean interval, answering two questions of Young. The same $L\log_{q 1}L$ endpoint holds for prime averages for every $q\ge 1$. For arbitrary time sequences, $L\log_qL$ always suffices at the same normalization $N\Lambda_q(N)$ ($q\ge 1$), and this endpoint is sharp in the Orlicz sense for fixed-base exponential sequences $k^n$ ($k\ge 2$) and for sequences with polynomial ratio separation, including $n!$.
The positive results rest on a local stability principle: under the ball Lebesgue differentiation property, pointwise temporal convergence lifts to the local joint limit whenever the associated temporal maximal function admits an $L^1$ majorant. The additional logarithm in the regular-time case comes from lifting restricted logarithmic maximal estimates from sets to general functions. The arbitrary-sequence theorem uses a dyadic decomposition instead. The lower bounds are local $\infty$-sweeping out constructions, obtained by weighted local sweeping out for polynomial-growth regular times, by residue constructions for polynomially ratio-separated sequences, and by digit constructions for fixed-base exponentials.
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Automatic Patient-Specific Microwave Ablation Planning Accelerated by a Physics-Guided Deep Learning Model
Seonaeng Cho, Minjee Seo, Minju Seol, Juil Park, Joon Ho Kwon, Kyungho Yoon
https://arxiv.org/abs/2608.03086 https://arxiv.org/pdf/2608.03086 https://arxiv.org/html/2608.03086
arXiv:2608.03086v1 Announce Type: new
Abstract: Microwave ablation (MWA) is a promising minimally invasive treatment for liver tumors, but its therapeutic outcome strongly depends on patient-specific planning of antenna insertion trajectory, power, and treatment duration. Accurate numerical simulation can provide physically reliable ablation predictions; however, its high computational cost limits its use in optimization-based planning, where repeated forward evaluations are required. To address this issue, we propose a digital twin-based automatic planning framework that combines a neural ablation prediction model with a genetic algorithm. The model was trained on multiphysics simulation data generated from patient-specific tumor and vessel structures, antenna configurations, and treatment conditions, and was used as a fast forward model during planning. The prediction model achieved a Dice score of 95.1%, enabling accurate deep learning-based optimization. In 13 unseen planning cases, the proposed method improved ablation efficiency by 54.3% and reduced organ damage by 55.0% compared with clinician-defined planning, while slightly shortening the insertion path length by 3.3%. Most generated plans were also judged clinically applicable by MWA specialists. Furthermore, the framework enabled approximately 420-fold faster planning than numerical-simulation-based planning, demonstrating its potential as a fast digital twin for quantitative and personalized MWA treatment planning. The code is available at: https://github.com/SeonAengCho/MWA-Planning.git
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Dirichlet symbols and the nonlinear wave equation
Ramlal Debnath, Haakan Hedenmalm
https://arxiv.org/abs/2608.04666 https://arxiv.org/pdf/2608.04666 https://arxiv.org/html/2608.04666
arXiv:2608.04666v1 Announce Type: new
Abstract: We study the operator symbols of Dirichlet type introduced by Hedenmalm and Shimorin (2020), in connection with a given contraction on $L^2$ of the unit disk. They are always holomorphic functions on the bidisk. Such Dirichlet symbols associated with the Grunsky operator of a univalent function on the disk or exterior disk are of particular significance. From the work of Hedenmalm and Shimorin, we know they are characterized as solutions of a certain nonlinear wave equation. We perform a local analysis of such symbols near the diagonal on the bidisk, and in so doing, we provide alternative chart coordinates for the infinite-dimensional manifolds of univalent functions of the disk or the exterior disk. Those coordinates allow us to characterize $\log\psi'$ for $\psi$ in the class $\Sigma$ of normalized univalent functions without explicitly touching the univalence property. Moreover, those manifolds extend the universal Teichm\"uller space of Lipman Bers beyond the quasicircle boundary setting, allowing for more fractality. The fractality of harmonic measure for the domain associated with the given univalent function can be studied in terms of the asymptotic variance introduced by McMullen (2008). The asymptotic variance captures the $L^2$ average amplitude of the nonlinearity. We introduce the new concept of Schwarzian asymptotic variance, which measures the average amplitude of the Schwarzian derivative in place of the nonlinearity. For this new Schwarzian asymptotic variance, we find that the effectiveaverage amplitude of $(1-|z|^2)^2|\Sop(\vp)|^2$ on the disk in the hyperbolic metric sense is at most $72/5=14.4$, considerably smaller than the maximum amplitude of $36$. Here, $\Sop(\vp)$ is the Schwarzian derivative of $\varphi\in\mathscr{S}$, and the analogous statement is valid for $\psi\in\Sigma$ as well.
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Cosmological constraints and standard sirens forecasts for non-dynamical dark energy in Horndeski gravity
Marcello Miranda, Ruchika, Ivan De Martino, Daniele Vernieri, Salvatore Capozziello
https://arxiv.org/abs/2608.04079 https://arxiv.org/pdf/2608.04079 https://arxiv.org/html/2608.04079
arXiv:2608.04079v1 Announce Type: new
Abstract: We investigate an analytically tractable sector of the Extended Cuscuton model, a non-dynamical dark-energy realization within the framework of viable Horndeski gravity. We focus on four benchmark submodels and constrain them with current background probes, namely cosmic chronometers, Type-Ia supernovae, and BAO, while imposing theoretical viability, Lunar Laser Ranging, and Big Bang Nucleosynthesis bounds. We then forecast third-generation bright-standard-siren constraints with Einstein Telescope and Cosmic Explorer networks, considering prompt-emission, afterglow, and kilonova counterparts. Current data already restrict the viable parameter space to small departures from $\Lambda$CDM and do not remove the calibration-driven offset between the CC SN and CC BAO determinations of $H_0$. In principle, future bright sirens substantially sharpen the constraints, especially for kilonova catalogues and extended detector networks. Across the forecast configurations, the relative uncertainty on $H_0$ remains below $13.18\%$ and can reach $0.21\%$ in the most constraining cases, while $\Omega_\Lambda$ is recovered at the percent level in the best cases. These results show that third-generation standard sirens can provide a precise complementary test of non-dynamical dark energy beyond $\Lambda$CDM.
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From Flows to Maps: Sampling Laws for Attractor Intensity and Bounded-Noise Escape
Jiguang Yu, Louis Shuo Wang
https://arxiv.org/abs/2608.02933 https://arxiv.org/pdf/2608.02933 https://arxiv.org/html/2608.02933
arXiv:2608.02933v1 Announce Type: new
Abstract: Intensity of attraction quantifies the largest amplitude of a persistent bounded disturbance that an attractor can withstand without loss of controlled confinement in its basin. Although intensity has been formulated separately for flows and maps, its behavior under temporal sampling has remained unresolved. We establish an explicit correspondence between the intensity $\mu(A)$ of a continuous-time attractor and the intensity $\mu_h(A)$ of its exact time-$h$ map. For an $L$-Lipschitz vector field, \[ \frac{\mu(A)}{1 Lh} \leq \frac{\mu_h(A)}{h} \leq \mu(A)\frac{e^{Lh}-1}{Lh}, \] and hence $\mu_h(A)/h\to\mu(A)$. The resulting first-order rate is sharp in general, while smooth scalar escape geometries can exhibit second-order convergence. We extend the framework to one-step numerical methods through a stability theory for block intensity and to attracting invariant graphs over compact invertible nonautonomous bases, obtaining uniform sampling convergence over the forcing phase. For bounded-support random perturbations, normalized discrete intensity is identified with the pathwise safety threshold; above it, finite escape follows under an explicit finite-exit condition, while escape probabilities require additional assumptions on the noise law. We also show that the discrete state--normal boundary map converges to the normalized Pontryagin boundary system governing extremal reachable-set boundaries. Exact scalar benchmarks, a grazing resilience model, planar Duffing escape, anisotropic disturbances, periodic and quasiperiodic forcing, and transfer-operator computations illustrate the theory. These results give intensity estimated from discrete observations or simulations a sampling-independent continuous-time meaning.
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Radiometric Thermal Imaging Dataset of Laboratory Rats with Anatomical Segmentation Masks
Dima Bykhovsky, Evyatar Chaimoff, Pe'er Eden, Tom Simkin, Oshrit Hoffer, Shahar Cohen, Bar Eilat Yogev, Gal Levi, Noa Efroni, Doron Todder, Hagit Cohen
https://arxiv.org/abs/2608.03481 https://arxiv.org/pdf/2608.03481 https://arxiv.org/html/2608.03481
arXiv:2608.03481v1 Announce Type: new
Abstract: Infrared thermography provides a contact-free, restraint-free method to record surface temperatures. It serves as a valuable marker for thermoregulatory responses in laboratory animal stress and pharmacology research. However, the analysis of these images is currently bottlenecked by the manual delineation of anatomical regions. To date, no public dataset has provided paired radiometric thermal frames of rats with pixel-level body-part labels. We present a dataset of 1,655 quality-controlled radiometric thermal frames from 25 laboratory rats. Each frame is paired with a dense four-class anatomical segmentation mask (background, head, body, and tail) and the raw $480 \times 640$ temperature matrix (rows $\times$ columns) in degrees Celsius. This ensures every label is registered directly to the physical temperature it describes rather than a color-mapped rendering. The frames originate from two pharmacological cohorts where interventions alter thermoregulation in opposite directions: ethanol, which induces peripheral vasodilation, and ketamine, which affects central thermoregulation. This provides a wide and physiologically diverse range of surface temperature regimes. Aggregated across the dataset, the per-class temperatures follow a head~$>$~body~$>$~tail ordering in physical units. To demonstrate that the data support pixel-level segmentation directly from the radiometric channel, we present an exploratory U-Net segmentation pipeline that attains a subject-level cross-validated mean intersection-over-union of $0.895 \pm 0.006$. The dataset provides a reuse-ready benchmark for thermal semantic segmentation and for downstream physiological and stress-phenotyping analyses.
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Pattern formation: reactivity is not necessary for chemotaxis--driven instabilities
Angela Monti
https://arxiv.org/abs/2608.03685 https://arxiv.org/pdf/2608.03685 https://arxiv.org/html/2608.03685
arXiv:2608.03685v1 Announce Type: new
Abstract: A classical result by Neubert, Caswell and Murray states that reactivity of a spatially homogeneous equilibrium is a necessary condition for diffusion-driven (Turing) instability. In this work, we investigate whether the same conclusion remains valid in the presence of chemotaxis. We consider a general reaction--diffusion system coupled with a chemotactic flux and establish necessary conditions for asymptotic instability. We show that the classical requirement of reactivity can be relaxed when the chemotactic contribution is sufficiently strong. In particular, while reactivity remains necessary for Turing instability, it is not a necessary condition for chemotaxis-driven instability. From a computational viewpoint, we extend the matrix-oriented formulation developed for reaction--diffusion systems to the more general class of reaction--diffusion--chemotaxis models. The chemotactic transport term is discretized in a form compatible with the matrix-oriented approximation of the diffusion operator, yielding an efficient numerical framework for the simulation of chemotaxis-driven pattern formation. A geometric interpretation of the instability region is presented, highlighting the distinct roles played by diffusion and chemotaxis. The theoretical and numerical developments are illustrated through two representative examples: a chemotaxis-extended Schnakenberg model, showing how chemotaxis modifies classical Turing patterns, and a predator--prey model, demonstrating that chemotaxis alone can induce pattern formation in the absence of both reactivity and diffusion-driven instability. These results reveal a fundamental difference between diffusion-driven and chemotaxis-driven mechanisms of spatial self-organization and provide new theoretical and computational insights into the role of non-symmetric transport processes in biological pattern formation.
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AI-based single-shot structured-light depth reconstruction for real-time laparoscopic surgical guidance
Wayne Wonseok Rodgers, Xiangyi Le, Seonghoon Jang, Shuwen Wei, Justin Opfermann, Michael Kam, Axel Krieger, Jin U. Kang
https://arxiv.org/abs/2608.05109 https://arxiv.org/pdf/2608.05109 https://arxiv.org/html/2608.05109
arXiv:2608.05109v1 Announce Type: new
Abstract: Significance. Accurate intraoperative depth perception is important for autonomous and semi-autonomous robotic laparoscopic surgery. Conventional fringe projection profilometry can achieve millimeter-scale accuracy but often requires multi-shot acquisition, digital-micromirror-device projection, and projector-camera synchronization, complicating integration into compact laparoscopic systems.
Aim. To develop a synchronization-free, single-shot depth-sensing platform using a passive LED-illuminated binary mask and a VQ-VAE prior with a custom U-Net depth head.
Approach. A compact projection module was coupled to one channel of a dual-channel laparoscope, while the second channel imaged the fringe-illuminated target. A Zivid 3D camera acquired reference depth for 722 paired phantom images. Zivid depth maps were reprojected into the SSLE image frame for supervised training and evaluation. The VQ-VAE encoded each input into a discrete latent representation, and a latent-space U-Net predicted depth without a separate mask-prediction branch.
Results. Using a fixed train/validation/test split, the proposed model achieved an MAE of 3.70 mm, AbsRel of 0.0326, delta=1.1 accuracy of 0.962, and delta=1.1^2 accuracy of 0.970. It achieved lower MAE than the dual U-Net MaskNet DepthNet baseline and outperformed off-the-shelf monocular depth models in MAE, AbsRel, and threshold accuracy. The pipeline operated at 26.0 Hz over 301 consecutive frames on an NVIDIA A100 GPU.
Conclusions. The LED-illuminated binary-pattern platform with latent-space depth reconstruction enables synchronization-free, video-rate endoscopic depth estimation. Results demonstrate Zivid-referenced phantom reconstruction without an explicit segmentation stage, while emphasizing the importance of dataset size and SSLE-Zivid calibration accuracy.
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Fixed Points, Stability, and Basin Geometry of the $3\times 3$ Correlation Map
Ishrak Alhajj Hassan
https://arxiv.org/abs/2608.03404 https://arxiv.org/pdf/2608.03404 https://arxiv.org/html/2608.03404
arXiv:2608.03404v1 Announce Type: new
Abstract: For more than half a century, iterated Pearson correlation has been used in clustering, seriation, and information visualization despite the absence of a general analytical theory of its limiting dynamics. We completely resolve the fixed-point classification and relative Lyapunov stability problems for the correlation map in dimension three. An exact row-wise Gram factorization yields the identity $\operatorname{rank}C(A)=\operatorname{rank}(AH_n)$, forcing every fixed point to be singular and to lie on the relative boundary of the elliptope. In arbitrary dimension, we characterize all nondegenerate sign-valued fixed points and prove that their number is $2^{n-1}-1$.
For $n=3$, we derive an explicit coordinate representation and prove that the natural nondegenerate domain contains exactly seven fixed points: three rank-one patterned points, three rank-two mixed points, and one rank-two equicorrelation point, forming three orbits under the permutation action of $S_3$. Exact symbolic Jacobian calculations prove that the patterned points are locally asymptotically stable, whereas admissible invariant boundary curves realize the expanding multipliers and prove that the mixed and equicorrelation points are Lyapunov unstable relative to the natural nondegenerate domain.
Permutation equivariance maps the three patterned basins onto one another and implies equal Lebesgue measure whenever measurable. Reproducible basin computations classify every sampled admissible trajectory as converging to one of the three patterned attractors, with nearly equal frequencies and no trajectory-level classification mismatches under stricter validation. These results establish a complete fixed-point and relative Lyapunov stability theory in dimension three and provide strong reproducible evidence for the full-measure convergence conjecture for the union of the three patterned basins.
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