2026-10-05 06:45:03
„StarCraft“-Benchmark: GPT-6 Astra schummelt mit einem fremden Bot
Bei einem „StarCraft“-Wettbewerb für KI-Modelle lud GPT-6 Astra einen fremden Bot herunter. Mit AlphaStar hat der Benchmark wenig gemein.
ht…
„StarCraft“-Benchmark: GPT-6 Astra schummelt mit einem fremden Bot
Bei einem „StarCraft“-Wettbewerb für KI-Modelle lud GPT-6 Astra einen fremden Bot herunter. Mit AlphaStar hat der Benchmark wenig gemein.
ht…
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
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 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
StarSkirmish pits AI-made StarCraft-playing bots against one another,
as well as against human-made bots.
OpenAI’s GPT-6 Astra and Claude Opus 5.5 were essentially tied as the best-performing AI-made bots,
but they couldn’t top Stardust, the top-rated human-made bot.
On Friday, GPT was facing off against Claude and the human-created bot Pluto, but it couldn’t quite get an edge.
So it resorted to a tactic that is becoming alarmingly common for modern AI models
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 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
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
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
RE: https://social.chinwag.org/@abc_bot/117035756755002007
For a start, Agent Krasnov’s owner would never face war crimes charges over Ukraine.
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
On Website Technicals (2026-09) - Tech updates: battV chart, internal impedance, Homebrew, Golden Gate, off-grid energy, bot block, voltage drop, new backup drive, reboot... - https://www.earth.org.uk/note-on-site-technicals-112.html
[2026-08-05 Wed (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]:
- Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
Xavier Blot, Guido Carlet, Dimitrios Makris, Sergey Shadrin
https://arxiv.org/abs/2608.00462 https://mastoxiv.page/@arXiv_mathAG_bot/117036135849841735
- Mechanism of State Transitions for the Vector Kuznetsov-Ma Breathers
Muchen Dong, Lei Wang
https://arxiv.org/abs/2608.00570 https://mastoxiv.page/@arXiv_nlinPS_bot/117036108127385445
- Caustics and Superenergy in the Quantum Bouncer
Marko. M. \'Cosi\'c, Andrew N. Jordan
https://arxiv.org/abs/2608.02427 https://mastoxiv.page/@arXiv_quantph_bot/117036508632063568
toXiv_bot_toot
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
[2026-08-05 Wed (UTC), 4 new articles found for physics.ao-ph Atmospheric and Oceanic Physics]
toXiv_bot_toot
[2026-09-04 Fri (UTC), no new articles found for nlin.CG Cellular Automata and Lattice Gases]
toXiv_bot_toot
[2026-10-05 Mon (UTC), 1 new article found for physics.atom-ph Atomic Physics]
toXiv_bot_toot
Replaced article(s) found for cs.MA. https://arxiv.org/list/cs.MA/new
[1/1]:
- Moral Hazard in Multi-Agent Language Models
Dane Malenfant
https://
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
A deep dive into Grok Bot, including its architecture, use cases, and alternatives, as xAI adds shareable bot templates and online purchases through Stripe Link (Flavio Copes)
https://flaviocopes.com/grok-bot/
New bot user name pattern for today
#mastoAdmin
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 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
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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
On Website Technicals (2026-09) - Tech updates: battV chart, internal impedance, Homebrew, Golden Gate, off-grid energy, bot block, voltage drop, new backup drive, reboot... - https://www.earth.org.uk/note-on-site-technicals-112.html
[2026-08-04 Tue (UTC), no new articles found for q-bio.OT Other Quantitative Biology]
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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
[2026-08-04 Tue (UTC), 4 new articles found for physics.atom-ph Atomic Physics]
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Crosslisted article(s) found for cs.MA. https://arxiv.org/list/cs.MA/new
[1/1]:
- MemArena: An Ego-Centric Benchmark for On-Device Agentic Personal Memory Assistants at Scale
Jiadong Zhang, Xiaosong Ma
Replaced article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- The $q$-deformed Calogero's Goldfish Systems
Umpon Jairuk, Thanadon Kongkoom, Sikarin Yoo-Kong
https://arxiv.org/abs/2504.14644 https://mastoxiv.page/@arXiv_nlinSI_bot/114380450452063367
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
HappyRobot, which uses AI to automate freight operator communications, raised a $150M Series C at a $1.2B valuation, after a $44M Series B in September 2025 (Lily Mae Lazarus/Fortune)
https://fortune.com/2026/08/04/happyrobot-worth-1-2-billion-f…
Replaced article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
- Exploring coupled tropical Pacific variability within a Multi-branch $\beta$-Variational Autoencoder
Wisinski, Molina, Hall, Bao, Mahajan, Rosenbloom, Fasullo
Crosslisted article(s) found for nlin.CG. https://arxiv.org/list/nlin.CG/new
[1/1]:
- The Prime Clockwork: A Dynamic Representation of Modular and Multiplicative Arithmetic
Michael T. M. Emmerich
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
[2026-08-05 Wed (UTC), 2 new articles found for physics.atom-ph Atomic Physics]
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History Matters: Meta-policy Delegation with Heterogeneous Multi-agent Reinforcement Learning
Ziqing Lu, Avinash Reddy Mudireddy, Sarra Alqahtani, Weiyu Xu
https://arxiv.org/abs/2608.03833
[2026-08-05 Wed (UTC), 2 new articles found for math.CV Complex Variables]
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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.
toXiv_bot_toot
[2026-08-04 Tue (UTC), 2 new articles found for nlin.SI Exactly Solvable and Integrable Systems]
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Crosslisted article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
- A windy sea surface with Stokes waves
Nikhil Yewale, Anil Kumar, Vinod Kadari, Ratul Dasgupta
[2026-08-05 Wed (UTC), 5 new articles found for eess.IV Image and Video Processing]
toXiv_bot_toot
[2026-09-04 Fri (UTC), 3 new articles found for physics.atom-ph Atomic Physics]
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An Actionable Diagnosis of Multilingual, Multi-Agent Planning Failures
Vikas Pahuja, Jonathan Brokman, Omer Hofman, Tamir Nizri, Daniel Vishna, Seraphina Goldfarb-Tarrant, Kelly Marchisio, Hisashi Kojima, Roman Vainshtein
https://arxiv.org/abs/2608.03735
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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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.
toXiv_bot_toot
[2026-08-05 Wed (UTC), 2 new articles found for nlin.SI Exactly Solvable and Integrable Systems]
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Prithvi-Precip: Integrating Satellite Observations into an Atmospheric AI Foundation Model for Precipitation Forecasting
Simon Pfreundschuh, Christian D. Kummerow, Johannes Schmude, Sujit Roy, Rahul Ramachandran, Tsengdar Lee, Valentine Anantharaj, Katherine H. Breen
https://arxiv.org/abs/2608.03959
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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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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Group Perspective Matters: Regulating Debate Relationships Can Mitigate Blind Conformity in Multi-Agent Debate
Hao Wu, Shoucheng Song, Chang Yao, Haoyu Wang, Huaiyu Wan, Youfang Lin, Kai Lv
https://arxiv.org/abs/2608.03648
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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[2026-08-05 Wed (UTC), 9 new articles found for math.DS Dynamical Systems]
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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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How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales
Danilo Artigas, Shi Pi, Takahiro Tanaka, Yuko Urakawa
https://arxiv.org/abs/2608.03725 https://arxiv.org/pdf/2608.03725 https://arxiv.org/html/2608.03725
arXiv:2608.03725v1 Announce Type: new
Abstract: Departures from standard slow-roll (SR) inflation have attracted increasing interest in recent years. In particular, scenarios that strongly enhance the power spectrum of the curvature perturbation are often proposed as a mechanism for producing primordial black holes, which could account for part or the totality of dark matter. An ongoing debate in these models is whether non-linear interactions of cosmological perturbations on small scales, namely loop corrections, can become sufficiently large to backreact on CMB scales. In this work, we adopt a non-linear framework, dropping spatial-gradient terms, to study loop corrections at super-Hubble scales. Our focus is to clarify the role of spatial-diffeomorphism invariance, especially dilatation invariance, which is the symmetry under overall rescaling of spatial coordinates, in demonstrating the suppression of loop corrections to the CMB power spectrum. This analysis is valid for any inflaton potential, both with smooth and sharp transitions, and at any loop order, as long as the CMB scales cross the horizon during an SR phase. We compare this result with the different explanations proposed in the literature using various gauge choices, and show our analysis is consistent both in the comoving and in the spatially-flat gauges. In particular, we show that in the spatially-flat gauge, the cubic interaction contains a term that diverges in the sharp transition limit. However, this contribution is exactly cancelled by the quartic interaction.
toXiv_bot_toot
[2026-08-04 Tue (UTC), 2 new articles found for nlin.SI Exactly Solvable and Integrable Systems]
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Unexpected limitation of tropical cyclone genesis by subsurface tropical central-north Pacific during El Ni\~no
Cong Gao, Lei Zhou, Chunzai Wang, I. -I. Lin, Raghu Murtugudde
https://arxiv.org/abs/2608.03799
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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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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Cosmology in the Einstein Telescope era: comparing traditional and simulation-based methods for population inference
Giovanni Antinozzi, Guillermo Franco Abell\'an, Davide Sciotti, Matteo Martinelli
https://arxiv.org/abs/2608.04005 https://arxiv.org/pdf/2608.04005 https://arxiv.org/html/2608.04005
arXiv:2608.04005v1 Announce Type: new
Abstract: The next generation of gravitational wave detectors, such as the Einstein Telescope (ET), will observe orders of magnitude more binary black hole mergers than current facilities. Most of these events will lack an electromagnetic counterpart, also known as dark siren events, yet will still enable percent-level cosmological constraints. However, the likelihood traditionally used in Hierarchical Bayesian Inference (HBI) for population-level analyses becomes computationally prohibitive as the size of dark siren catalogues and population parameters grow. In this work we compare HBI against simulation-based inference (SBI) as a scalable alternative for cosmological population inference in the ET era. Studying a proof-of-concept example of a mock ET inference, we build a catalogue of $O(10^4)$ binary black hole events, then perform inference on the Hubble constant $H_0$ and matter density $\Omega_m$ in a flat $\Lambda$CDM cosmology, using both a hierarchical analytical likelihood and Marginal Neural Ratio Estimation (MNRE). We find excellent agreement between the two approaches, with SBI reproducing the HBI posteriors to high accuracy, while requiring orders of magnitude less computation once the simulation and training cost is amortized. We further demonstrate that SBI extends straightforwardly to a joint cosmology-plus-astrophysics analysis, simultaneously constraining $(H_0,\Omega_m)$ together with the parameters of the star formation rate density, at negligible additional cost compared to the significant increase in complexity such an extension would require within the HBI framework. Our results indicate that SBI is a promising and scalable tool for population inference with third-generation GW detectors.
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Experimental validation of an open-source low-cost single-camera 6-DOF tracking of floating-body motion in wave tanks
Herman Martens Meyer, Paul Fromont, {\O}ystein Lande, Atle Jensen
https://arxiv.org/abs/2608.03241
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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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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Cosmic Velocity Flows: from Theory to Observations
Saee Dhawalikar
https://arxiv.org/abs/2608.03530 https://arxiv.org/pdf/2608.03530 https://arxiv.org/html/2608.03530
arXiv:2608.03530v1 Announce Type: new
Abstract: The Large-Scale Structure (LSS) of the Universe forms a complex network of nodes, filaments, sheets, and voids known as the Cosmic Web. As current and upcoming galaxy surveys increasingly probe the quasi-linear and non-linear regimes of structure formation, understanding its geometry and dynamics is essential for precision cosmology. In particular, cosmic filaments, which channel matter across the web, are central to these dynamical processes.
This thesis develops numerical tools to study the non-linear cosmic web. First, the Sahyadri suite of high-resolution cosmological $N$-body simulations is introduced, providing a framework for precision studies of LSS and its cosmological dependence. A calibration framework for filament reconstruction is then developed using controlled filament realizations, enabling systematic investigation of reconstruction biases. The effects of filament curvature and reconstruction noise on inferred filament properties are quantified, and a novel Fourier-space smoothing approach is introduced to improve profile recovery.
The thesis further presents Skeletor, a Voronoi-based filament finder that identifies filamentary structures directly from discrete tracers while explicitly incorporating the hierarchical nature of the cosmic web. A novel framework for classifying sub-filamentary structure is developed. Applying these tools to cosmological simulations reveals distinct properties of filament substructure and provides a detailed view of filament phase space, including coherent inflows, multistreaming, and caustic-like features.
Together, these developments provide a framework for studying the geometry, hierarchy, and dynamics of the non-linear cosmic web. More broadly, they contribute to the ongoing effort to build a physically motivated understanding of the non-linear cosmic web beyond traditional measures of clustering.
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Komuro Expansivity and Periodic Orbit Growth for Multi-Singular Hyperbolic Flows
Maria Jos\'e Pacifico, Fan Yang, Jiagang Yang, Rusong Zheng
https://arxiv.org/abs/2608.02186 https://arxiv.org/pdf/2608.02186 https://arxiv.org/html/2608.02186
arXiv:2608.02186v1 Announce Type: new
Abstract: In this paper we prove that every multi-singular hyperbolic set of a $C^1$ flow is Komuro expansive. This is the strongest natural form of expansivity for flows with singularities accumulated by regular orbits, allowing arbitrary orientation-preserving time reparametrizations. We then use this to establish a two-sided asymptotic counting bound of the form $e^{ht}/t$ for periodic orbits, and prove that the normalized orbit measures converge to the unique measure of maximal entropy. We also establish the same results for a $C^1$ open and dense subset of star vector fields.
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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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Recent Sharp Rise in Inhomogeneous Hydrological Extremes Stress Vegetation Growth in China
Shengyuan Liu, Jeremy Cheuk-Hin Leung, Jianjun Xu, Kunlun Xiang, Shifei Tu, Meiying Zheng, Daosheng Xu, Yi Li, Banglin Zhang
https://arxiv.org/abs/2608.03037
On the sharpness of Denjoy's theorem
Rohil Prasad
https://arxiv.org/abs/2608.02380 https://arxiv.org/pdf/2608.02380 https://arxiv.org/html/2608.02380
arXiv:2608.02380v1 Announce Type: new
Abstract: Let $\omega$ be a concave modulus of continuity that is weaker than Lipschitz, meaning $\omega(t)/t$ diverges as $t$ approaches $0$. We construct a diffeomorphism of the circle with irrational rotation number, in the regularity class $C^{1 \omega}$, with a wandering interval. This construction implies that Denjoy's 1932 theorem is sharp in regularity, unless additional restrictions are imposed on the rotation number. The construction in the special case $\omega(t) = t\log(1/t)$ settles an open problem dating back to Herman's 1979 work on circle diffeomorphisms, which gave constructions for $\omega(t) = t\log(1/t)^{1 \varepsilon}$ for every $\varepsilon > 0$. Our examples arise as limits of periodic circle diffeomorphisms with rapidly converging rotation numbers.
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Replaced article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
- Experimental verification of the optimal fingerprint method in a Spin Resonance System: Implicati...
Jinbo Hu, Hong Yuan, Letian Chen, Nan Zhao, C. P. Sun
Rigid Functions, IP-Systems, and Topological Mild Mixing
Song Shao, Hui Xu
https://arxiv.org/abs/2608.02282 https://arxiv.org/pdf/2608.02282 https://arxiv.org/html/2608.02282
arXiv:2608.02282v1 Announce Type: new
Abstract: We study uniform rigidity and topological mild mixing through continuous observables. For a fixed sequence of times, the observables rigid along that sequence form a closed unital $T^{\pm1}$-invariant algebra and determine the maximal factor uniformly rigid along the prescribed sequence. We then give functional forms of the classical ${\rm SIP}^{*}$- and ${\rm IP}^{*}$-return-time criteria: a topological dynamical system is mildly mixing exactly when it has no nonconstant locally SIP-rigid observable, and in the minimal category the same property is equivalent to the absence of nonconstant locally IP-rigid observables. Finally, a locally IP-rigid observable yields a canonical orbit-name factor carrying marked local data. For fixed local data, the $T^{\pm 1}$-invariant core of the local rigidity algebra determines a uniformly rigid factor whenever the core is nontrivial.
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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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Crosslisted article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
- A Spatial Persistence Gradient in European Warming Consistent with North Atlantic Cold-Blob Influ...
Mauricio Herrera-Mar\'in, Alex Godoy-Fa\'undez, Diego Rivera
…
Ergodic Optimization with Linear Constraints
Shengwen Guo, Kevin McGoff
https://arxiv.org/abs/2608.02435 https://arxiv.org/pdf/2608.02435 https://arxiv.org/html/2608.02435
arXiv:2608.02435v1 Announce Type: new
Abstract: Let $T : X \to X$ be a continuous map of a compact metrizable space, and let $\phi : X \to \mathbb{R}$ be a continuous function. The ergodic optimization problem is to maximize the integral $\int \phi \, d\mu$ as $\mu$ ranges over all $T$-invariant Borel probability measures on $X$. In this paper we consider a constrained version of the ergodic optimization problem. Given a `constraint set' $\mathcal{C}\subset C(X)$, let $M_\mathcal{C}(X,T)$ be the set of $T$-invariant Borel probability measures $\mu$ on $X$ such that $\int g \, d\mu = 0$ for all $g \in \mathcal{C}$. We investigate the problem of maximizing the integral $\int \phi \, d\mu$ over the constrained set $M_\mathcal{C}(X,T)$. We address basic properties of this optimization problem, beginning with nonemptiness of $M_\mathcal{C}(X,T)$ and existence of optimal solutions. Additionally, we establish the generic and prevalent uniqueness of optimal measures, we provide a realization result, and we give a characterization of the dual problem. This framework provides a common generalization of several previously considered optimization problems in dynamical systems and optimal transport.
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Arctic bimodality reflects enhanced variability in the clear-cloudy transition rather than bistability
Nadja Omanovic, Antoon van Hooft, Valentina Zeni, Franziska Glassmeier
https://arxiv.org/abs/2608.02205
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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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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Crucial role of subsurface ocean variability in tropical cyclone genesis
Cong Gao, Lei Zhou, I. -I. Lin, Chunzai Wang, Shoude Guan, Fei-Fei Jin, Raghu Murtugudde
https://arxiv.org/abs/2608.02077
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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FESOM2-JAX v1.0: a differentiable shadow of the ocean-sea-ice model FESOM2, cast onto GPUs
Nikolay V. Koldunov, Sergey Danilov, Suvarchal Cheedela, Dmitry Sidorenko, Sebastian Beyer, Patrick Scholz, Ivan Kuznetsov, Jan Streffing, Aleksei Koldunov, Dmitrii Pantiukhin, Svetlana N. Loza, Thomas Jung
https://arxiv.org/abs/2608.01546
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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A Sequence-to-Sequence ConvLSTM Approach for Leaf Area Index Forecasting over the South-Central United States
Zhixing Ruan, Lixin Lu
https://arxiv.org/abs/2608.00879 https://
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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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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A note on the shear-forced dynamics of tornadoes
Chanh Kieu
https://arxiv.org/abs/2608.00416 https://arxiv.org/pdf/2608.00416
From Flight Logs to Atmospheric Science: Paragliders as Convection Sensors for Identifying Thermal Predictors
C\'esar Hern\'andez-Aguayo, Matthieu Cristelli, Michael Benzaquen
https://arxiv.org/abs/2608.00241