Tootfinder

edit_wikiquote: Wikiquote edits (2010)
A bipartite user-page network extracted from Wikiquotes. A user connects to a page if that user edited that page. Edits (edges) are timestamped. Edge weights represent counts of the number of edits.
This network has 24753 nodes and 323207 edges.
Tags: Informational, Web graph, Multigraph, Timestamps

Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David P\'erez-Garc\'ia, Alberto Ruiz-de-Alarc\'on
https://arxiv.org/abs/2509.23734 https://

Haag Duality for 2D Quantum Spin Systems
Haag duality is a strong notion of locality for two-dimensional lattice quantum spin systems, requiring that the commutant of the algebra of observables supported in a cone-like region coincides with the algebra of observables in its complement. Originally introduced within algebraic quantum field theory, Haag duality has recently become pivotal in the operator-algebraic analysis of quantum many-body systems. In particular, it plays a key role in the description of anyonic excitations, which ar…

Week 17 winners and losers: Maye, Henry shine in fantasy finals; Gibbs, Lamb disappoint https://www.espn.com/fantasy/football/story/_/page/FFSundayHighLows-47435963/nfl-week-17-fantasy-football-winners-…

I watched the 1st meeting day of RFK Jr’s handpicked committee of vaccine advisors. It was utterly depressing.
-- Atul Gawande
@agawande.bsky.social
https://skywriter.blue/pages/did:plc:qrq3ybgokbsqivyiap7vnin4/post/3lz6ytzkye22k

Expanding Computation Spaces of LLMs at Inference Time
Yoonna Jang, Kisu Yang, Isabelle Augenstein
https://arxiv.org/abs/2509.24884 https://arxiv.org/pdf/2…

Expanding Computation Spaces of LLMs at Inference Time
Chain-of-thought (CoT) rationale enables language models to use additional task-related text for problem-solving, benefiting not only from detailed reasoning steps but also from the expanded computational space of longer inputs. Prior work has trained filler or special tokens to serve as additional computation spaces. In this study, we investigate whether language models can leverage artificially inserted sequences of filler tokens solely at inference. We first identify effective token types, n…

Crosslisted article(s) found for cs.PL. https://arxiv.org/list/cs.PL/new
[1/1]:
- A benchmark for vericoding: formally verified program synthesis
Sergiu Bursuc, et al.

Proceedings Twentieth International Symposium on Logical and Semantic Frameworks with Applications
Haniel Barbosa, Christophe Ringeissen
https://arxiv.org/abs/2509.23739 https:/…

Proceedings Twentieth International Symposium on Logical and Semantic Frameworks with Applications
This volume contains the proceedings of the 20th Workshop on Logical and Semantic Frameworks with Applications (LSFA 2025), which was held in Brasilia, the capital of Brazil, from October 7 to October 8, 2025. The aim of the LSFA series of workshops is bringing together theoreticians and practitioners to promote new techniques and results, from the theoretical side, and feedback on the implementation and use of such techniques and results, from the practical side. LSFA includes areas such as …

DNS in the Time of Curiosity: A Tale of Collaborative User Privacy Protection
Philip Sj\"osv\"ard, Hongyu Jin, Panos Papadimitratos
https://arxiv.org/abs/2509.24153 ht…

DNS in the Time of Curiosity: A Tale of Collaborative User Privacy Protection
The Domain Name System (DNS) is central to all Internet user activity, resolving accessed domain names into Internet Protocol (IP) addresses. As a result, curious DNS resolvers can learn everything about Internet users' interests. Public DNS resolvers are rising in popularity, offering low-latency resolution, high reliability, privacy-preserving policies, and support for encrypted DNS queries. However, client-resolver traffic encryption, increasingly deployed to protect users from eavesdroppers…

Finite-Size Security Bounds in Semi-Quantum Key Distribution: Spectral, Operator-Theoretic, and Entropic Perspectives
Zahidur Rezwan Ratul
https://arxiv.org/abs/2509.25078 https…

Finite-Size Security Bounds in Semi-Quantum Key Distribution: Spectral, Operator-Theoretic, and Entropic Perspectives
We study Semi-Quantum Key Distribution (SQKD) with a focus on finite-size security bounds, developed through three complementary perspectives. (i) Spectral disturbance: wrong-basis Lüders updates produce closed-form spectra and purity loss, which serve as basis-independent indicators of disturbance. (ii) Operator-theoretic reduction: in Z/Z-sifted rounds, intercept-resend attacks can be represented as an effective depolarizing channel, characterized by a fidelity-QBER relation. (iii) Entropic …

Digital welfare fraud detection and the Dutch SyRI judgment
Marvin van Bekkum, Frederik Zuiderveen Borgesius
https://arxiv.org/abs/2509.23843 https://arxiv…

Digital welfare fraud detection and the Dutch SyRI judgment
In 2020, a Dutch court passed judgment in a case about a digital welfare fraud detection system called Systeem Risico Indicatie (SyRI). The court ruled that the SyRI legislation is unlawful because it does not comply with the right to privacy under the European Convention of Human Rights. In this article we analyse the judgment and its implications. This ruling is one of first in which a court has invalidated a welfare fraud detection system for breaching the right to privacy. We show that the …

The Complexity of Arc-Connectedness Relation in the Plane
Yusuf Uyar
https://arxiv.org/abs/2509.24596 https://arxiv.org/pdf/2509.24596

The Complexity of Arc-Connectedness Relation in the Plane
In this paper, we show that the arc-connectedness equivalence relation on a Polish subspace of the real plane is an essentially hyperfinite Borel equivalence relation. This result provides the optimal upper bound for such a Borel equivalence relation.

ZKProphet: Understanding Performance of Zero-Knowledge Proofs on GPUs
Tarunesh Verma (Computer Science and Engineering, University of Michigan, USA), Yichao Yuan (Computer Science and Engineering, University of Michigan, USA), Nishil Talati (Computer Science and Engineering, University of Michigan, USA), Todd Austin (Computer Science and Engineering, University of Michigan, USA)

ZKProphet: Understanding Performance of Zero-Knowledge Proofs on GPUs
Zero-Knowledge Proofs (ZKP) are protocols which construct cryptographic proofs to demonstrate knowledge of a secret input in a computation without revealing any information about the secret. ZKPs enable novel applications in private and verifiable computing such as anonymized cryptocurrencies and blockchain scaling and have seen adoption in several real-world systems. Prior work has accelerated ZKPs on GPUs by leveraging the inherent parallelism in core computation kernels like Multi-Scalar Mul…

Lacunary sequences whose reciprocal sums represent all rationals in an interval
Wouter van Doorn, Vjekoslav Kova\v{c}
https://arxiv.org/abs/2509.24971 https://

Lacunary sequences whose reciprocal sums represent all rationals in an interval
Answering a question of Michael Bleicher and Paul Erdős, we show that there exists a lacunary sequence of positive integers such that finite sums of reciprocals of its terms attain all rational numbers from a non-empty open interval. We also study several stronger variants of their original problem: determining the value of the optimal lacunarity parameter, representing rationals infinitely many times, finding such lacunary sequences with arbitrarily large jumps, and relating the maximal lengt…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[2/2]:
- High Reheating Temperature without Axion Domain Walls
Shota Nakagawa, Yuichiro Nakai, Yu-Cheng Qiu, Lingyun Wang, Yaoduo Wang

Secant sheaves and Weil classes on abelian varieties
Eyal Markman
https://arxiv.org/abs/2509.23403 https://arxiv.org/pdf/2509.23403

Secant sheaves and Weil classes on abelian varieties
Let K be a CM-field, i.e., a totally complex quadratic extension of a totally real field F. Let X be a g-dimensional abelian variety admitting an algebra embedding of F into the rational endomorphisms of X. Let A be the product of X and Pic^0(X). We construct an embedding e of K into the rational endomorphism algebra of A associated to a choice of an F-blilinear polarization on X and a totally imaginary element q in K. We get the [K:Q]-dimensional subspace HW(A,e) of Hodge Weil classes in the d…

Crosslisted article(s) found for cs.IR. https://arxiv.org/list/cs.IR/new
[1/1]:
- Learning to Detect Relevant Contexts and Knowledge for Response Selection in Retrieval-based Dial...
Kai Hua, Zhiyuan Feng, Chongyang Tao, Rui Yan, Lu Zhang

Near-the-Axis Universality in Last Passage Percolation
Sam McKeown, Xinyi Zhang
https://arxiv.org/abs/2509.25059 https://arxiv.org/pdf/2509.25059

Near-the-Axis Universality in Last Passage Percolation
This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal fluctuations for geodesics taken near the axis. We extend the technique of Bodineau and Martin, who in arXiv:math/0410042 have already shown universal one-point fluctuations in this regime.

Crosslisted article(s) found for cs.CC. https://arxiv.org/list/cs.CC/new
[1/1]:
- Structural Separation and Semantic Incompatibility in the P vs. NP Problem: Computational Complex...
Yumiko Nishiyama

edit_wikinews: Wikipedia news edits (2010)
Two bipartite user-page networks extracted from Wikipedia, about news events. A user connects to a page if that user edited that page. Edits (edges) are timestamped. Edge weights represent counts of the number of edits.
This network has 5541 nodes and 27265 edges.
Tags: Informational, Web graph, Multigraph, Timestamps

Low-Complexity Wireless Multi-Port Sensing by Multiplexed De-Embedding of an Over-the-Air Fixture
Philipp del Hougne
https://arxiv.org/abs/2509.24537 https://

Low-Complexity Wireless Multi-Port Sensing by Multiplexed De-Embedding of an Over-the-Air Fixture
Wireless multi-port sensing remotely retrieves the scattering matrix of a multi-port device under test (DUT) connected to a set of not-directly-accessible (NDA) antennas that couple over-the-air (OTA) to a set of accessible antennas. If (i) the OTA fixture characteristics are known, and (ii) the number of independent measurements at the accessible antennas is sufficient, the OTA fixture can be de-embedded to recover the DUT characteristics. In recent prior work, we solved (i) by connecting the …

Crosslisted article(s) found for cs.AR. https://arxiv.org/list/cs.AR/new
[1/1]:
- Cognition Engines: A Row-Scale HVDC Architecture for Computational Continuity of AI
Paul Churnock

Crosslisted article(s) found for stat.ME. https://arxiv.org/list/stat.ME/new
[1/1]:
- Strategic Play and Home Advantage: Coaches' Tactical Impact in Serie A
Angelini, Castellani, Rubio, Giannerini, Goracci

QCD phase diagram and thermodynamic properties of the non-extensive NJL model with chiral chemical potential
Xiang-Qiong Liu, Sheng-Qin Feng
https://arxiv.org/abs/2509.24611 htt…

QCD phase diagram and thermodynamic properties of the non-extensive NJL model with chiral chemical potential
Based on the two-flavor NJL model with Tsallis non-extensive statistics, this work explores the QCD phase structure and thermodynamic properties under strong magnetic fields and chiral imbalance. The Tsallis parameter \( q \) captures non-equilibrium effects relevant to heavy-ion collisions. Key findings reveal that the pseudocritical temperature \(T_{\textrm{pc}} \) decreases with increasing \( q \), indicating that non-equilibrium conditions promote chiral symmetry restoration at lower temper…

Sparse Graph Reconstruction and Seriation for Large-Scale Image Stacks
Fuming Yang, Yaron Meirovitch, Jeff W. Lichtman
https://arxiv.org/abs/2509.23084 https://

Sparse Graph Reconstruction and Seriation for Large-Scale Image Stacks
We study recovering a 1D order from a noisy, locally sampled pairwise comparison matrix under a tight query budget. We recast the task as reconstructing a sparse, noisy line graph and present, to our knowledge, the first method that provably builds a sparse graph containing all edges needed for exact seriation using only O(N(log N + K)) oracle queries, which is near-linear in N for fixed window K. The approach is parallelizable and supports both binary and bounded-noise distance oracles. Our fi…

The dual foliation of polar actions on nonnegatively curved manifolds
Yi Shi
https://arxiv.org/abs/2509.24155 https://arxiv.org/pdf/2509.24155

The dual foliation of polar actions on nonnegatively curved manifolds
We prove that any dual leaf $L^{\#}$ of a simply connected, complete nonnegatively curved polar manifold $M$ is totally geodesic and closed in $M$, and $L^{\#}$ is itself a complete nonnegatively curved polar manifold. Furthermore, the dual foliation on $M$ induces a Riemannian submersion with totally geodesic fibers from $M$ to a homogeneous space.

Crosslisted article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Towards Strategic Persuasion with Language Models
Zirui Cheng, Jiaxuan You
https…

Real-Time Power electronics Control and Monitoring with TI F28379D DSC and GUI Composer
Ilyas Bennia, Lotfi Baghli, Ehsan Jamshidpour, Abdelkader Mechernene, Jean-Philippe Martin, Driss Yousfi
https://arxiv.org/abs/2509.25008

Real-Time Power electronics Control and Monitoring with TI F28379D DSC and GUI Composer
This paper details the implementation and experimental validation of a real-time control system for a three-phase induction motor using the Texas Instruments TMS320F28379D microcontroller. The system integrates pulse-width modulation (PWM) generation, analog-to-digital conversion (ADC), digital-to-analog conversion (DAC), and quadrature encoder feedback to facilitate precise control under various strategies. A current sensing solution based on the AMC1301 isolation amplifier and shunt resistor …

Particle Acceleration along Magnetic Fields as the Origin of Ear-like Structures in Supernova Remnants
Huan Yu, Jun Fang
https://arxiv.org/abs/2509.23547 https://

Particle Acceleration along Magnetic Fields as the Origin of Ear-like Structures in Supernova Remnants
The origin of ear-like structures with two opposite lobes extending from the shell of supernova remnants (SNRs) remains a subject of active debate, with proposed mechanisms ranging from jet-driven explosions to interactions with bipolar circumstellar media. We present a novel investigation using Particle-in-Cell (PIC) simulations to examine the dynamics of a spherical ejecta in magnetized media, revealing a different formation mechanism for these structures. Our results demonstrate that particl…

An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids
Changtao Sheng, Huiyuan Li, Huifang Yuan, Li-Lian Wang
https://arxiv.org/abs/2509.24809

An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids
Computing the stiffness matrix for the finite element discretization of the nonlocal Laplacian on unstructured meshes is difficult, because the operator is nonlocal and can even be singular. In this paper, we focus on the $C^0$-piecewise linear finite element method (FEM) for the nonlocal Laplacian on uniform grids within a $d$-dimensional rectangular domain. By leveraging the connection between FE bases and B-splines (having attractive convolution properties), we can reduce the involved $2d$-d…

Transporting Baguettes With Minimal Action: The Geometry of Optimal Nonequilibrium Processes in Stochastic Thermodynamics
Adrianne Zhong
https://arxiv.org/abs/2509.22886 https:/…

Transporting Baguettes With Minimal Action: The Geometry of Optimal Nonequilibrium Processes in Stochastic Thermodynamics
What are the fundamental limitations placed by the laws of thermodynamics on the energy expenditure needed to carry out a given task in a nonequilibrium environment in finite time? In this thesis, we investigate "optimal nonequilibrium processes": how nonequilibrium state changes in a thermodynamic system may be performed most efficiently, in the sense of requiring the least amount of thermodynamic work. Surprisingly, there is a hidden, fundamental geometric structure in this optimization probl…

Polarization at millimeter wavelengths caused by drifting grains in protoplanetary disks
Moritz Lietzow-Sinjen, Stefan Reissl, Mario Flock, Sebastian Wolf
https://arxiv.org/abs/2509.24594

Polarization at millimeter wavelengths caused by drifting grains in protoplanetary disks
During the evolution of protoplanetary disks, dust grains start to grow, form larger particles, settle to the midplane, and rearrange the disk, mainly by the inward radial drift. Because of this, dust pebbles with an irregular shape usually align mechanically and thus cause polarization signatures in their thermal radiation due to dichroic emission or absorption. The goal of this paper is to evaluate the potential to trace the impact of mechanical grain alignment in protoplanetary disks on the …

Towards a foundation model for astrophysical source detection: An End-to-End Gamma-Ray Data Analysis Pipeline Using Deep Learning
Judit P\'erez-Romero, Saptashwa Bhattacharyya, Sascha Caron, Dmitry Malyshev, Rodney Nicolas, Giacomo Principe, Zoja Rokavec, Roberto Ruiz de Austri, Danijel Sko\v{c}aj, Fiorenzo Stoppa, Domen Tabernik, Gabrijela Zaharijas
https:…

Towards a foundation model for astrophysical source detection: An End-to-End Gamma-Ray Data Analysis Pipeline Using Deep Learning
The increasing volume of gamma-ray data demands new analysis approaches that can handle large-scale datasets while providing robustness for source detection. We present a Deep Learning (DL) based pipeline for detection, localization, and characterization of gamma-ray sources. We extend our AutoSourceID (ASID) method, initially tested with \textit{Fermi}-LAT simulated data and optical data (MeerLICHT), to Cherenkov Telescope Array Observatory (CTAO) simulated data. This end-to-end pipeline demon…

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- A consistent SIR model on time scales with exact solution
M\'arcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres

[2025-09-30 Tue (UTC), 14 new articles found for cond-mat.soft Soft Condensed Matter]
toXiv_bot_toot

Crosslisted article(s) found for cs.SC. https://arxiv.org/list/cs.SC/new
[1/1]:
- AI Noether -- Bridging the Gap Between Scientific Laws Derived by AI Systems and Canonical Knowle...
Karan Srivastava, Sanjeeb Dash, Ryan Cory-Wright, Barry Trager, Lior Horesh

[2025-12-30 Tue (UTC), 5 new articles found for physics.atom-ph Atomic Physics]
toXiv_bot_toot

Unsupervised Machine Learning for Anomaly Detection in LHC Collider Searches
Antonio D'Avanzo (on behalf of the ATLAS Collaboration)
https://arxiv.org/abs/2509.24723 https:/…

Unsupervised Machine Learning for Anomaly Detection in LHC Collider Searches
Searches for new physics at the LHC at CERN traditionally use advanced simulations to model Standard Model and new-physics processes in high-energy collisions and compare them with data. The lack of recent direct discoveries, however, has motivated the development of model-independent approaches in HEP to complement existing hypothesis-driven analyses, particularly Anomaly Detection. A review of the latest efforts in BSM searches with anomaly detection is presented in these proceedings, focusin…

Nagare Media Engine: A System for Cloud- and Edge-Native Network-based Multimedia Workflows
Matthias Neugebauer
https://arxiv.org/abs/2509.24546 https://ar…

Nagare Media Engine: A System for Cloud- and Edge-Native Network-based Multimedia Workflows
Before media playback is possible, live and video-on-demand content alike usually undergoes various operations described as tasks within a multimedia workflow. Where previously ingest, transcode, packaging and delivery tasks might have run on a single machine, today's workflows are significantly more complex distributed systems. Describing and implementing multimedia workflows is challenging and requires new approaches. A standards-based multimedia workflow system is described in ISO/IEC 2309…

Crosslisted article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
- Event-based complexity in atmospheric turbulence
Paolo Paradisi, Rita Cesari

Mid-IR Light Modulators Enabled by Dynamically Tunable Ultra High-Q Silicon Membrane Metasurfaces
Felix Ulrich Brikh, Aleksei Ezerskii, Olesia Pashina, Nikita Glebov, Wenping Yin, Sergey V. Makarov, Mihail Petrov, Ivan Sinev, Hatice Altug
https://arxiv.org/abs/2509.23167

Mid-IR Light Modulators Enabled by Dynamically Tunable Ultra High-Q Silicon Membrane Metasurfaces
Metasurfaces have emerged as a powerful platform to control free-space light at the subwavelength scale, enabling applications in sensing, lasing, nonlinear optics, and quantum photonics. However, their practical deployment is hindered by two key limitations: a tradeoff between low-Q resonances and weak amplitude contrast, and their predominantly static nature allowing only passive functionalities. These challenges are further aggravated in the application-relevant mid-infrared (mid-IR) range, …

[2025-09-30 Tue (UTC), 6 new articles found for math.ST Statistics Theory]
toXiv_bot_toot

[2025-09-30 Tue (UTC), 2 new articles found for cs.PF Performance]
toXiv_bot_toot

[2025-09-30 Tue (UTC), 3 new articles found for nucl-ex Nuclear Experiment]
toXiv_bot_toot

edit_wikinews: Wikipedia news edits (2010)
Two bipartite user-page networks extracted from Wikipedia, about news events. A user connects to a page if that user edited that page. Edits (edges) are timestamped. Edge weights represent counts of the number of edits.
This network has 10943 nodes and 47698 edges.
Tags: Informational, Web graph, Multigraph, Timestamps

Optimisation of Steklov transmission eigenvalues and minimal surfaces
Mikhail Karpukhin, Alain Didier Noutchegueme
https://arxiv.org/abs/2509.24055 https://

Optimisation of Steklov transmission eigenvalues and minimal surfaces
In the present paper, we study the variational properties of Steklov transmission eigenvalues, which can be seen as eigenvalues of the sum of two Dirichlet-to-Neumann operators on two different sides of a given curve contained in a surface. Inspired by the analogous results for Laplacian and Steklov eigenvalues, we show that critical metrics for this problem correspond to the so-called stationary configurations in the Euclidean ball, i.e. pieces of minimal surfaces inside the ball whose normals…

Crosslisted article(s) found for cs.CR. https://arxiv.org/list/cs.CR/new
[1/1]:
- ZKProphet: Understanding Performance of Zero-Knowledge Proofs on GPUs
Tarunesh Verma, Yichao Yuan, Nishil Talati, Todd Austin

[2025-09-30 Tue (UTC), 76 new articles found for quant-ph Quantum Physics]
toXiv_bot_toot

Bifurcations and multistability in inducible three-gene toggle switch networks
Rebecca J. Rousseau, Rob Phillips
https://arxiv.org/abs/2509.24926 https://a…

Bifurcations and multistability in inducible three-gene toggle switch networks
Control of transcription presides over a vast array of biological processes including through gene regulatory circuits that exhibit multistability. Two- and three-gene network motifs are often found to be critical parts of the repertoire of metabolic and developmental pathways. Theoretical models of these circuits, however, typically vary parameters such as dissociation constants, transcription rates, and degradation rates without specifying precisely how these parameters are controlled biologi…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Toward the Analytic Bootstrap of Energy Correlators
Jianyu Gong, Andrzej Pokraka, Kai Yan, Xiaoyuan Zhang

Effective height bounds via Mordell Weil lattice symmetries
Madhavi Prakash
https://arxiv.org/abs/2509.22672 https://arxiv.org/pdf/2509.22672

Effective height bounds via Mordell Weil lattice symmetries
We obtain explicit, computable upper bounds for the Neron-Tate height of rational points on curves of genus at least two over number fields. The bounds use automorphisms acting on the Mordell-Weil lattice of the Jacobian. We prove an averaged spectral-gap criterion that replaces the 'large enough automorphism group' requirement of prior work. As a special case, when some automorphism acts trivially on V the method gives the sharper bound. In rank 2 we provide a practical Bravais-lattice test, u…

Crosslisted article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[2/2]:
- Birth of a gap: Critical phenomena in 2D Coulomb gas
Matthias Allard, Sampad Lahiry

Deficit functions and the log Sobolev inequality
Tobias Holck Colding, William P. Minicozzi II
https://arxiv.org/abs/2509.22941 https://arxiv.org/pdf/2509.…

Deficit functions and the log Sobolev inequality
There is a long history of parabolic monotonicity formulas that developed independently from several different fields and a much more recent elliptic theory. The elliptic theory can be localized and there are additional monotone quantities. There is also a surprising link: Taking a high-dimensional limit of the right elliptic monotonicity can give a parabolic one as a limit. Poincaré was the first to observe such a connection. We introduce two deficit functions, one elliptic and one parabolic,…

How clear are the skies of WASP-80b?: 3D Cloud feedback on the atmosphere and spectra of the warm Jupiter
Nishil Mehta, Vivien Parmentier, Xianyu Tan, Elspeth K. H. Lee, Tristan Guillot, Lindsey S. Wiser, Taylor J. Bell, Everett Schlawin, Kenneth Arnold, Sagnick Mukherjee, Thomas P. Greene, Thomas G. Beatty, Luis Welbanks, Michael R. Line, Matthew M. Murphy, Jonathan J. Fortney, Kazumasa Ohno

How clear are the skies of WASP-80b?: 3D Cloud feedback on the atmosphere and spectra of the warm Jupiter
Close-in warm Jupiters orbiting M-dwarf stars are expected to exhibit diverse atmospheric chemistry, with clouds playing a key role in shaping their albedo, heat distribution, and spectral properties. We study WASP-80b, a warm Jupiter orbiting an M-dwarf star, using the latest JWST panchromatic emission and transmission spectra to comprehensively characterize its atmosphere, including cloud coverage, chemical composition, and particle sizes, and compare the observations with predictions from ge…

[2025-09-30 Tue (UTC), 29 new articles found for math.NA Numerical Analysis]
toXiv_bot_toot

[2025-09-30 Tue (UTC), no new articles found for cs.SC Symbolic Computation]
toXiv_bot_toot

Limited impact of Greenland meltwater on abruptness and reversibility of future Atlantic overturning changes
Oliver Mehling, Katinka Bellomo, Federico Fabiano, Marion Devilliers, Michele Petrini, Susanna Corti, Jost von Hardenberg
https://arxiv.org/abs/2509.24858

Limited impact of Greenland meltwater on abruptness and reversibility of future Atlantic overturning changes
All climate models project that the Atlantic Meridional Overturning Circulation (AMOC) will weaken in the 21st century, but most models neglect increasing runoff from the Greenland ice sheet. Greenland meltwater is expected to exacerbate AMOC weakening, and omitting it increases the uncertainty in assessing the possibility of a future abrupt collapse or tipping of the AMOC. Here, we test the abruptness and reversibility of AMOC changes under strong future global warming in a state-of-the-art cl…

Arm events in critical planar loop soups
Yijie Bi, Yifan Gao, Pierre Nolin, Wei Qian
https://arxiv.org/abs/2509.25024 https://arxiv.org/pdf/2509.25024

Arm events in critical planar loop soups
We establish up-to-constants estimates for arm events in the Brownian loop soup on the 2D metric graph associated with the square lattice. More specifically, we consider two natural geometric events: first, ``bulk'' four-arm events, corresponding to two large connected components of loops getting close to each other; and then, two-arm events in the half-plane, used to estimate the probability that a cluster of loops approaches the boundary. Our proof relies on an estimate by Lupu-Werner [Probab…

Ultra-long Gamma-ray Bursts from Micro-Tidal Disruption Events: The Case of GRB 250702B
Paz Beniamini, Hagai B. Perets, Jonathan Granot
https://arxiv.org/abs/2509.22779 https://…

Ultra-long Gamma-ray Bursts from Micro-Tidal Disruption Events: The Case of GRB 250702B
Ultra-long gamma-ray bursts (ULGRBs), a rare class of high-energy transients with durations $>10^3$,s, remain poorly understood. GRB,250702B ($z=1.04$) is notable for its multi-hour prompt emission, an X-ray precursor $\sim$1 day earlier, off-nuclear host position, and hard, rapidly variable gamma-rays. This combination is difficult to explain with standard ULGRB progenitors such as blue-supergiant collapsars, magnetar engines, or white-dwarf tidal disruptions by intermediate-mass black holes. …

Crosslisted article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/2]:
- On stability of triangular factorization of positive operators
M. I. Belishev, A. F. Vakulenko

Equilibrium states for non relativistic Bose gases with condensation
Stefano Galanda, Nicola Pinamonti
https://arxiv.org/abs/2509.25101 https://arxiv.org/p…

Equilibrium states for non relativistic Bose gases with condensation
In this paper we present the construction of the equilibrium states at positive temperature in the presence of a condensation phase for a Gas of non relativistic Bose particles on an infinite space interacting through a localised two body interaction. We use methods of quantum field theory in the algebraic formulation to obtain this result and in order to prove convergence of the partition function and of the generating function of the correlation functions, we introduce an auxiliary stochastic…

Shortwave Absorption by Alumina Aerosol Amplifies Stratospheric Warming
Taveen Singh Kapoor, Prabhav Upadhyay, Jian Huang, Guodong Ren, John Cavin, Dhruv Mitroo, Joshin Kumar, Jordan A. Hachtel, Lu Xu, Rohan Mishra, Rajan K. Chakrabarty
https://arxiv.org/abs/2509.24246

Shortwave Absorption by Alumina Aerosol Amplifies Stratospheric Warming
Stratospheric alumina aerosols from rocket launches and geoengineering proposals are presently understood to help counteract greenhouse gas-induced warming by reflecting sunlight and cooling the lower atmosphere. Here, from direct measurement of aerosol absorption cross-sections, we report alumina's hitherto unknown shortwave absorption characteristics. Alumina's shortwave absorption could offset up to 10\% of its solar-reflective cooling, and if implemented for geoengineering, would warm the s…

Collision types and times in interacting particle systems
Sergio Andraus, Nicole Hufnagel, Jacek Ma{\l}ecki
https://arxiv.org/abs/2509.24790 https://arxiv.…

Collision types and times in interacting particle systems
We consider a system of stochastic interacting particles with general diffusion coefficient and drift functions and we study the types of collisions that arise in them. In particular, interactions between particles are inversely proportional to their separation, and the coupling function of interaction is also considered in great generality. Our main result indicates that under very mild conditions, all collisions are simple almost surely, namely, only one pair of particles collides at any time…

edit_wikibooks: Wikipedia book edits (2010)
Two bipartite user-page networks extracted from Wikipedia, about books. A user connects to a page if that user edited that page. Edits (edges) are timestamped. Edge weights represent counts of the number of edits.
This network has 1671 nodes and 2861 edges.
Tags: Informational, Web graph, Multigraph, Timestamps
<…

The failure of the Ehlers--Kundt conjecture in the impulsive case
Moriz L. Frauenberger, James D. E. Grant, Roland Steinbauer
https://arxiv.org/abs/2509.24989 https://

The failure of the Ehlers--Kundt conjecture in the impulsive case
In 1962, Ehlers and Kundt conjectured that plane waves are the only class of complete Ricci-flat~\emph{pp}-waves, i.e.\ metrics on ${\mathbb R}^4$ of the form \[ ds^2=2du\,dv+dx^2+dy^2+H(x,y,u)du^2\,. \] Recently, Flores and Sánchez gave a proof of the conjecture in the fundamental case of spatially polynomially bounded profile functions $H$. However, impulsive pp-waves, i.e., waves with concentrated profile functions of the form $H(x,y,u)=f(x,y)\,δ(u)$ ($δ$, the Dirac measure) have been fou…

[2025-09-30 Tue (UTC), 2 new articles found for physics.ao-ph Atmospheric and Oceanic Physics]
toXiv_bot_toot

Limiting behaviour of pattern counts in biased binary strings
Jon V. Kogan, Nicol\`o Paviato
https://arxiv.org/abs/2509.24654 https://arxiv.org/pdf/2509.24…

Limiting behaviour of pattern counts in biased binary strings
For $p \in (0,1)$, sample a binary sequence from the infinite product measure of Bernoulli$(p)$ distributions. It is known that for $p=1/2$, almost every binary sequence is Poisson generic in the sense of Peres and Weiss, a property that reflects a specific statistical pattern in the frequency of finite substrings. However, this behaviour is highly exceptional: it fails for any $p \ne 1/2$. In these other cases, we show that the frequency of substrings of almost every sequence has either trivia…

inploid: Inploid: an online social Q&A platform
Inploid is a social question & answer website in Turkish. Users can follow others and see their questions and answers on the main page. Each user is associated with a reputability score which is influenced by feedback of others about questions and answers of the user. Each user can also specify interest in topics. The data is crawled in June 2017 and consist of 39,749 nodes and 57,276 directed links between them. In addition, for …

Phase spaces in field theory: Reduction vs. resolution
Aldo Riello, Michele Schiavina
https://arxiv.org/abs/2509.24450 https://arxiv.org/pdf/2509.24450

Phase spaces in field theory: Reduction vs. resolution
In this note we review the concept of phase space in classical field theory, discussing several variations on the basic notion, as well as the relation between them. In particular we will focus on the case where the field theory admits local (gauge) symmetry, in which case the physical phase space of the system emerges after a (usually singular) quotient with respect to the action of the symmetry group. We will highlight the symplectic and Poisson underpinnings of the reduction procedure that d…

Large and Moderate Deviations for Entries of Orthogonal Matrices and the Stiefel Manifold
Philipp Tuchel
https://arxiv.org/abs/2509.24538 https://arxiv.org…

Large and Moderate Deviations for Entries of Orthogonal Matrices and the Stiefel Manifold
Let $A_N$ be distributed according to the Haar probability measure on the orthogonal group $\mathscr{O}(N)$ for each $N\in\mathbb{N}$. It is well-known that the upper left $m_N\times k_N$ block of $\sqrt{N}A_N$ with $m_Nk_N = o(N)$ converges in total variation distance to a matrix of same size consisting of i.i.d. standard normal entries as $N\to\infty$. In this work, we characterize this convergence on the scale of large deviations. More precisely, we show that under the same condition $m_Nk_N…

On compatible linear and quadratic Poisson brackets on $gl(N)$
Andriy Panasyuk, Taras Skrypnyk
https://arxiv.org/abs/2509.24054 https://arxiv.org/pdf/2509.…

On compatible linear and quadratic Poisson brackets on $gl(N)$
In the present paper, using two constant tensors $c$ and $b$ on $sl(N)\otimes sl(N)$ satisfying certain linear-quadratic equation and a technique of Poisson bivectors and Schouten brackets, we explicitly construct quadratic Poisson bracket on the space $ (sl(N)+\mathbb{C})^*$ which is compatible with the standard Lie--Poisson bracket on $gl(N)^* \simeq (sl(N)\oplus \mathbb{C})^*$. The case of $N=3$ is considered in details. The relation of the proposed brackets with the generalized classical Sk…

On the distribution of charges in a conducting needle
Orion Ciftja, Adrien Gu\'enard, Nefton Pali
https://arxiv.org/abs/2509.24029 https://arxiv.org/pd…

On the distribution of charges in a conducting needle
We study the distribution of point charges in a straight conductive needle and the electric field created by them. Starting from the bead model with $n$ point charges on the needle, we show the existence and uniqueness of an equilibrium state. We also study the differential system pertaining to the system and show that the system of point charges does not converge towards an equilibrium state. In order to move from a discrete to a continuous model we increase the number of the point charges and…

Birth of a gap: Critical phenomena in 2D Coulomb gas
Matthias Allard, Sampad Lahiry
https://arxiv.org/abs/2509.24529 https://arxiv.org/pdf/2509.24529

Birth of a gap: Critical phenomena in 2D Coulomb gas
We investigate a family of radially symmetric Coulomb gas systems at inverse temperature $β= 2$. The family is characterised by the property that the density of the equilibrium measure vanishes on a ring at radius $r_*$, which lies strictly inside the droplet. The large $n$ expansion of the logarithm of the partition function is obtained up to a novel $n^{1/4}$ term. We perform a double scaling limit of the correlation kernel at the $n^{1/4}$ scale and obtain a new limiting kernel in the bulk,…

From Quasiperiodicity to a Complete Coloring of the Kohmoto Butterfly
Ram Band, Siegfried Beckus
https://arxiv.org/abs/2509.24025 https://arxiv.org/pdf/250…

From Quasiperiodicity to a Complete Coloring of the Kohmoto Butterfly
The spectra of the Kohmoto model give rise to a fractal phase diagram, known as the Kohmoto butterfly. The butterfly encapsulates the spectra of all periodic Kohmoto Hamiltonians, whose index invariants are sought after. Topological methods - such as Chern numbers - are ill defined due to the discontinuous potential, and hence fail to provide index invariants. This Letter overcomes that obstacle and provides a complete classification of the Kohmoto model indices. Our approach encodes the Kohmot…

wiki_science: Wikipedia Map of Science (2020)
A network of scientific fields, extracted from the English Wikipedia in early 2020. Nodes are wikipedia pages representing natural, formal, social and applied sciences, and two nodes are linked if the cosine similarity of the page content is above a threshold. See <http://www.s…

Squared Bessel processes under nonlinear expectation
Mingshang Hu, Renxing Li, Xue Zhang
https://arxiv.org/abs/2509.24481 https://arxiv.org/pdf/2509.24481

Squared Bessel processes under nonlinear expectation
In this paper, we define the squared G-Bessel process as the square of the modulus of a class of G-Brownian motions and establish that it is the unique solution to a stochastic differential equation. We then derive several path properties of the squared G-Bessel process, which are more profound in the capacity sense. Furthermore, we provide upper and lower bounds for the Laplace transform of the squared G-Bessel process. Finally, we prove that the time-space transformed squared G-Bessel process…

Reconstruction of acoustic sources from the initial arrival time of waves
Qiuyi Li, Bo Chen, Peng Gao, Yu Sun, Yao Sun
https://arxiv.org/abs/2509.23819 https://

Reconstruction of acoustic sources from the initial arrival time of waves
In this paper, a novel time domain sampling method based on the initial arrival time of waves is proposed to reconstruct acoustic sources, including point sources, curve sources, surface sources and block sources. The uniqueness of reconstructing sources whose spatial support is a convex region is proved. Theoretical analyses are provided to demonstrate the validity of the proposed sampling method in reconstructing various types of sound sources. The proposed algorithm does not involve the time…

wiki_science: Wikipedia Map of Science (2020)
A network of scientific fields, extracted from the English Wikipedia in early 2020. Nodes are wikipedia pages representing natural, formal, social and applied sciences, and two nodes are linked if the cosine similarity of the page content is above a threshold. See <http://www.s…

Bohr-Sommerfeld quantization conditions for Schrodinger operator: the Method of Microlocal Wronskian and Gram Matrix
Abdelwaheb Ifa, Michel Rouleux
https://arxiv.org/abs/2509.23514

Bohr-Sommerfeld quantization conditions for Schrodinger operator: the Method of Microlocal Wronskian and Gram Matrix
In this paper, we present a new formulation of the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a Schrodinger operator within the algebraic and microlocal framework of B. Helffer and J. Sjostrand; BS holds precisely when the Gram matrix consisting of scalar products of some WKB solutions with respect to the "flux norm" is not invertible. This condition is obtained using the microlocal Wronskian and does not rely on traditional matching techniques. It is simplified by using a…

A family of non-uniform distributions on the set of parking functions generated by random permutations
Ross G. Pinsky
https://arxiv.org/abs/2509.24452 https://

A family of non-uniform distributions on the set of parking functions generated by random permutations
We introduce a rather natural family of non-uniform distributions on $PF_n$, $n\in\mathbb{N}$, the set of parking functions of length $n$. One of the motivations for this comes from a similar situation in the context of integer partitions. For a permutation $σ\in S_n$ and for $j\in[n]$, let $I_{n,

Binary Representation in Multicomplex and Clifford Algebras
Derek Courchesne, S\'ebastien Tremblay
https://arxiv.org/abs/2509.23369 https://arxiv.org/p…

Binary Representation in Multicomplex and Clifford Algebras
Using a binary representation for basis elements of an algebra combined with a framework of multiplier and index functions, a connection has been established between the structure of a large class of algebras and the XOR componentwise operation. This result covers both multicomplex and Clifford algebras of any dimension. Necessary conditions for the existence of a diagonal basis are derived directly from this result, with an algorithm-like method to obtain it through a change-of-coordinates mat…

Geometry-induced criticality in $p$-adic scaling limits of random walks
Rahul Rajkumar, David Weisbart
https://arxiv.org/abs/2509.24234 https://arxiv.org/p…

Geometry-induced criticality in $p$-adic scaling limits of random walks
An anisotropy parameter $h$ in $(0,1]$ induces on $\mathbb{Q}_p^2$ a duality-compatible, two-scale filtration that collapses to one scale at the right endpoint. This filtration defines shell-uniform transition laws for hierarchical random walks on a discrete group whose scaling limits are Lévy processes on $\mathbb{Q}_p^2$. The diffusion constants of the coordinate processes jump at the right endpoint, even though the radial jump law depends continuously on $h$. This instance of geometry-induc…

Effective medium theory for embedded sound-soft obstacles in an anisotropic inhomogeneous medium with applications
Huaian Diao, Qingle Meng, Zhiying Sun
https://arxiv.org/abs/2509.23163

Effective medium theory for embedded sound-soft obstacles in an anisotropic inhomogeneous medium with applications
This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model commonly arises in the inverse scattering problem of simultaneously recovering the embedded obstacles and the surrounding medium. We propose a novel theoretical framework that demonstrates how embedded obstacles can be effectively approximated by an isotropi…

Geometric Brownian motion with random observation time as generalization of the double Pareto distribution
Ken Yamamoto, Takashi Bando, Hirokazu Yanagawa, Yorhihiro Yamazaki
https://arxiv.org/abs/2509.24201

Geometric Brownian motion with random observation time as generalization of the double Pareto distribution
We study the probability distribution of the value of geometric Brownian motion at the stochastic observation time. It is known that the exponentially distributed observation time yields the distribution called the double Pareto distribution, and this study aims to generalize this distribution. First, we provide a calculation formula for the moment of the observed value of geometric Brownian motion using the moment-generating function of the observation time distribution. Next, the probability …

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
Seokun Choi
https://arxiv.org/abs/2509.23120 https://arxiv.org/pdf/2509.23120

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
We investigate the Glauber dynamics of the generalized (2+1)-dimensional $p$-SOS model under a hard floor constraint. This setting induces entropic repulsion: the integer-valued interface height is forced to remain above the wall and consequently rises to a typical height $H(p,L)$ that depends on both the parameter $p$ and the system size $L$. In the classical SOS model ($p=1$), \cite{caputo2016scaling, caputo2014dynamics} derived an exponential lower bound for the mixing time, demonstrating th…

Form uniqueness for graphs with weakly spherically symmetric ends
Luis Hernandez, Sean Ku, Jun Masamune, Genevieve Romanelli, Rados{\l}aw K. Wojciechowski
https://arxiv.org/abs/2509.22967

Form uniqueness for graphs with weakly spherically symmetric ends
We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.

On random bipartite graphs evolving by degrees
Neeladri Maitra
https://arxiv.org/abs/2509.23943 https://arxiv.org/pdf/2509.23943

On random bipartite graphs evolving by degrees
In this paper, we study a bipartite analogue of the `random graphs evolving by degrees' process. We are given a bipartitioned set of vertices $V$ into two disjoint parts ${L}$ and ${R}$ and possibly unequal positive constants $α$ and $β$. The graph evolves starting from $B_0$, the empty graph (with only isolated vertices). Given $B_t$, a non-adjacent vertex pair $u \in {L}, v \in {R}$ is sampled with probability proportional to $(d_u(t)+α)(d_v(t)+β)$, and the edge $\{u,v\}$ is included to $…

General integral-identities involving Legendre polynomials and their derivatives
Yannick Wunderlich, Kyungseon Joo, Victor I. Mokeev
https://arxiv.org/abs/2509.22904 https://

General integral-identities involving Legendre polynomials and their derivatives
Integrals involving derivatives of Legendre polynomials frequently arise in applications ranging from multipole expansions for processes involving electromagnetic probes to spectral methods in numerical physics. Despite their practical relevance, closed-form expressions for such integrals - particularly involving arbitrary derivative orders - are not readily accessible in standard references or symbolic tools. In this note, we derive and present general analytic expressions for integrals of the…

Zero-Waiting Load Balancing with Heterogeneous Servers in Heavy Traffic
Xin Liu, Lei Ying
https://arxiv.org/abs/2509.23918 https://arxiv.org/pdf/2509.23918…

Zero-Waiting Load Balancing with Heterogeneous Servers in Heavy Traffic
We study the steady-state delay performance of load balancing in large-scale systems with heterogeneous servers in the heavy-traffic regimes. The system consists of $N$ servers, each with a local buffer of size $b-1$, serving jobs in the first-in-first-out (FIFO) order. Jobs arrive according to a Poisson process with rate $λN$, where $λ= 1 - N^{-α}$ for any $α\in (0,1)$. Service times are assumed to be exponentially distributed with fully heterogeneous rates, where the service rate of each …

[2025-09-30 Tue (UTC), 14 new articles found for math-ph Mathematical Physics]
toXiv_bot_toot

Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
Fabrice Gamboa, Jan Nagel, Alain Rouault
https://arxiv.org/abs/2509.23814 https://

Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17], [BSZ18a], [BSZ18b]), interesting connections have been established between the large theory of spectral measures built on random matrices and sum rules. In this work, we extend this approach by studying sum rules within random matrix models with polynomial potentials on the unit circle, with a particular focus on c…

A critical stochastic heat equation with long-range noise
Alexander Dunlap, Martin Hairer, Xue-Mei Li
https://arxiv.org/abs/2509.23790 https://arxiv.org/pd…

A critical stochastic heat equation with long-range noise
We consider a semilinear stochastic heat equation in spatial dimension at least $3$, forced by a noise that is white in time with a covariance kernel that decays like $\lvert x\rvert^{-2}$ as $\lvert x\rvert\to\infty$. We show that in an appropriate diffusive scaling limit with a logarithmic attenuation of the noise, the pointwise statistics of the solution can be approximated by the solution to a forward-backward stochastic differential equation (FBSDE). The scaling and structure of the proble…

Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time L\'evy white noise
Yuichi Shiozawa, Jian Wang
https://arxiv.org/abs/2509.23534

Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time Lévy white noise
We consider fractional stochastic heat equations with space-time Lévy white noise of the form $$\frac{\partial X}{\partial t}(t,x)={\cal L}_αX(t,x)+σ(X(t,x))\dotΛ(t,x).$$ Here, the principal part ${\cal L}_α=-(-Δ)^{α/2}$ is the $d$-dimensional fractional Laplacian with $α\in (0,2)$, the noise term $\dotΛ(t,x)$ denotes the space-time Lévy white noise, and the function $σ: \R\mapsto \R$ is Lipschitz continuous. Under suitable assumptions, we obtain bounds for the Lyapunov exponents and…

Crossing probabilities in geometric inhomogeneous random graphs
Emmanuel Jacob, C\'eline Kerriou, Amitai Linker, Peter M\"orters
https://arxiv.org/abs/2509.23496 https:…

Crossing probabilities in geometric inhomogeneous random graphs
In a geometric inhomogeneous random graph vertices are given by the points of a Poisson process and are equipped with independent weights following a heavy tailed distribution. Any pair of distinct vertices is independently forming an edge with a probability decaying as a function of the product of the weights divided by the distance of the vertices. For this continuum percolation model we study the crossing probabilities of annuli, i.e. the probabilities that there exist paths starting inside …

Some remarks on Davis inequality for biparameter filtrations
Maciej Rzeszut
https://arxiv.org/abs/2509.23351 https://arxiv.org/pdf/2509.23351

Some remarks on Davis inequality for biparameter filtrations
The Davis inequality $\mathbb{E} Sf\simeq \mathbb{E} f^*$ between $L^1$ norms of square function of a martingale and its maximal function is known for martingales indexed by linearly ordered filtrations and in some particular cases for double indexed one. We prove the $\gtrsim $ inequality for arbitrary filtrations satisfying the (F4) condition of Cairoli and Walsh and propose a method to attack the other inequality. The former is done by means of a two-parameter analogue of Davis-Garsia decomp…

Controlled rough paths: a general Hopf-algebraic setting
Zhicheng Zhu, Xing Gao, Nannan Li, Dominique Manchon
https://arxiv.org/abs/2509.23148 https://arxi…

Controlled rough paths: a general Hopf-algebraic setting
We set up controlled rough paths for a class of combinatorial Hopf algebras, encompassing shuffle, Butcher-Connes-Kreimer and Munthe-Kaas--Wright Hopf algebras. The class of controls we consider encompasses both Hölder continuous paths and (not necessarily continuous) paths with bounded $p$-variation. We prove existence and uniqueness of the solution of a lifted initial value problem in this general setting by applying the fixed point method in a suitable Banach space of controlled rough paths…

On Optimal Markovian Couplings of Levy Processes
Wei Yang Kang, Tau Shean Lim
https://arxiv.org/abs/2509.23086 https://arxiv.org/pdf/2509.23086

On Optimal Markovian Couplings of Levy Processes
We study the optimal Markovian coupling problem for two Pi-valued Feller processes {X_t} and {Y_t}, which seeks a coupling process {(X_t, Y_t)} that minimizes the right derivative at t = 0 of the expected cost E^{(x,y)}[c(X_t, Y_t)], for all initial states (x,y) in Pi^2 and a given cost function c on Pi. This problem was first formulated and solved by Chen (1994) for drift-diffusion processes and later extended by Zhang (2000) to Markov processes with bounded jumps. In this work, we resolve the…

Every cutoff profile is possible
Lucas Teyssier
https://arxiv.org/abs/2509.23069 https://arxiv.org/pdf/2509.23069…

Every cutoff profile is possible
We introduce fruit-inosculated-tree Markov chains. These chains have easily tunable parameters and are a good source of examples. In particular, we prove that every cutoff profile is possible, with any cutoff time and window size.

Smooth measures and positive continuous additive functionals attached to a compact nest
Takumu Ooi, Kaneharu Tsuchida, Toshihiro Uemura
https://arxiv.org/abs/2509.23060 https://…

Smooth measures and positive continuous additive functionals attached to a compact nest
The relationship between smooth measures and positive continuous additive functionals is well known, and this correspondence is called the Revuz correspondence. We investigate the relationships between several types of convergence of smooth measures and convergence of positive continuous additive functionals, mainly focusing on a treatment of nests. We provide conditions under which convergence of additive functionals implies convergence of the corresponding smooth measures. Our results cover c…

[2025-09-30 Tue (UTC), 21 new articles found for math.PR Probability]
toXiv_bot_toot

Crosslisted article(s) found for math.PR. https://arxiv.org/list/math.PR/new
[1/1]:
- Modeling Tennis In-Match Momentum Using Probability Method
Jackson Graves, Daniel X. Guo, Ridge Shepherd, Alexander Young