Probability

Authors and titles for September 2025

[1] arXiv:2509.00881 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: An Elementary Proof of the Hanson-Wright Inequality Show Chinese title

Title: 一个Hanson-Wright不等式的初等证明

Ingvar Ziemann

Subjects: Probability (math.PR)

[2] arXiv:2509.00970 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Examples of stable-like random walks on groups of polynomial growth Show Chinese title

Title: 多项式增长群上的类似稳定随机游动示例

Laurent Saloff-Coste, Ruoqi Zhang

Subjects: Probability (math.PR)

[3] arXiv:2509.01115 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Spectral bounds and heat kernel upper estimates for Dirichlet forms Show Chinese title

Title: 谱界和狄利克雷型式的热核上界估计

Aobo Chen, Zhenyu Yu

Comments: 23 pages

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[4] arXiv:2509.01143 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Combinatorial Aspects of Weighted Free Poisson Random Variables Show Chinese title

Title: 加权自由泊松随机变量的组合方面

Nobuhiro Asai, Hiroaki Yoshida

Journal-ref: Infin. Dimens. Anal. Quantum Probab. Relat. Top., Vol. 27, No. 3 (2024) 2450001

Subjects: Probability (math.PR) ; Combinatorics (math.CO) ; Operator Algebras (math.OA)

[5] arXiv:2509.01266 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Show Chinese title

Title: 平均场相互作用扩散波动的收敛速率及其在二维粘性涡旋模型和库仑势中的应用

Alekos Cecchin, Paul Nikolaev

Subjects: Probability (math.PR)

[6] arXiv:2509.01283 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Fokker-Planck equation for stochastic heat equations Show Chinese title

Title: 随机热方程的福克-普朗克方程

Qingyan Meng, Jinqiao Duan, Jinlong Wei, Peter E. Kloeden

Subjects: Probability (math.PR)

[7] arXiv:2509.01288 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Responsive dormancy of a spatial population among a moving trap Show Chinese title

Title: 移动陷阱中空间种群的响应休眠

Helia Shafigh, Leo Tyrpak

Subjects: Probability (math.PR)

[8] arXiv:2509.01346 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Robust Stochastic Outperformance under Kullback-Leibler Ambiguity Show Chinese title

Title: 鲁棒随机超越性在Kullback-Leibler模糊性下

Ozan Hür

Subjects: Probability (math.PR) ; Information Theory (cs.IT)

[9] arXiv:2509.01519 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Weak irreducibility of stochastic delay differential equation driven by pure jump noise Show Chinese title

Title: 随机跳变噪声驱动的随机延迟微分方程的弱不可约性

Hao Yang, Jian Wang

Subjects: Probability (math.PR)

[10] arXiv:2509.01696 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Classification of Discrete-Time Queues Show Chinese title

Title: 离散时间队列的分类

Muhammad El-Taha

Comments: 44 pages, one figure

Subjects: Probability (math.PR)

[11] arXiv:2509.01745 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: The Donsker-Varadhan Action Functional for Probabilistic Cellular Automata Show Chinese title

Title: 概率细胞自动机的Donsker-Varadhan作用泛函

Alex Eizenberg

Subjects: Probability (math.PR)

[12] arXiv:2509.01761 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Matrix-Valued Orthogonal Polynomials Related to a Class of Random Walk Show Chinese title

Title: 与一类随机游走相关的矩阵值正交多项式

P. Roman, S. Menchon, Y. Yin

Subjects: Probability (math.PR)

[13] arXiv:2509.01797 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Relation between Wick powers and excursion clusters of the 2D GFF Show Chinese title

Title: Wick幂与二维GFF的穿越簇之间的关系

Titus Lupu

Comments: 88 pages

Subjects: Probability (math.PR)

[14] arXiv:2509.02074 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On the Kolmogorov-Feller weak law of large numbers for Frechet mean on non-compact symmetric spaces Show Chinese title

Title: 关于非紧对称空间上弗雷歇均值的柯尔莫哥洛夫-费勒大数定律

Jongmin Lee, Sungkyu Jung

Subjects: Probability (math.PR) ; Statistics Theory (math.ST)

[15] arXiv:2509.02188 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Estimate of the exit time for the Long Range Ising model on random regular graphs Show Chinese title

Title: 长程伊辛模型在随机正则图上的退出时间估计

Vanessa Jacquier

Comments: 20 pages, 1 figure

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Data Analysis, Statistics and Probability (physics.data-an)

[16] arXiv:2509.02249 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Ergodicity of conditional McKean-Vlasov jump diffusions Show Chinese title

Title: 条件麦科恩-弗拉索夫跳跃扩散的遍历性

Jianhai Bao, Yao Liu, Jian Wang

Comments: 24 pages

Subjects: Probability (math.PR)

[17] arXiv:2509.02310 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exponential decay for the random connection model using asymptotic transitivity Show Chinese title

Title: 指数衰减用于随机连接模型的渐近传递性

Frankie Higgs

Comments: 17 pages

Subjects: Probability (math.PR)

[18] arXiv:2509.02347 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A recursive formula for the $n^\text{th}$ survival function and the $n^\text{th}$ first passage time distribution for jump and diffusion processes. Applications to the pricing of $n^\text{th}$-to-default CDS Show Chinese title

Title: 跳跃和扩散过程的$n^\text{th}$生存函数和$n^\text{th}$首次通过时间分布的递归公式。 对$n^\text{th}$-到违约 CDS 的定价应用

Alessio Lapolla

Comments: Corrected typo Eq.45

Subjects: Probability (math.PR) ; Statistical Mechanics (cond-mat.stat-mech) ; Pricing of Securities (q-fin.PR)

[19] arXiv:2509.02432 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A threshold for online balancing of sparse i.i.d. vectors Show Chinese title

Title: 稀疏独立同分布向量的在线平衡阈值

Dylan J. Altschuler, Konstantin Tikhomirov

Comments: added reference

Subjects: Probability (math.PR) ; Discrete Mathematics (cs.DM) ; Combinatorics (math.CO)

[20] arXiv:2509.02448 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Quantitative positivity of transition densities for random perturbations of Hamiltonian systems Show Chinese title

Title: 随机扰动哈密顿系统的转移密度的定量正性

Shimaa Elesaely, David P. Herzog, Kyle L. Liss

Comments: 61 pages

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[21] arXiv:2509.02504 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Asymptotic behavior of the stochastic heat equation over large intervals Show Chinese title

Title: 随机热方程在大区间上的渐近行为

David Candil, Robert C. Dalang, Marta Sanz Solé

Comments: 31 pages

Subjects: Probability (math.PR)

[22] arXiv:2509.02524 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Limiting one-point fluctuations of the geodesic in the directed landscape near the endpoints when the geodesic length goes to infinity Show Chinese title

Title: 在测地线长度趋于无穷大时，限制定向景观中测地线端点附近的单点波动

Zhipeng Liu, Chen Ma, Tejaswi Tripathi

Comments: 24 pages, 3 figures

Subjects: Probability (math.PR)

[23] arXiv:2509.02562 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Random burning of the Euclidean lattice Show Chinese title

Title: 欧几里得格子的随机燃烧

Guillaume Blanc, Alice Contat

Comments: 31 pages, 1 figure. Comments welcome!

Subjects: Probability (math.PR) ; Combinatorics (math.CO)

[24] arXiv:2509.02717 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Voter Model stability with respect to conservative noises Show Chinese title

Title: 具有保守噪声的投票模型的稳定性

Gideon Amir, Omer Angel, Rangel Baldasso, Daniel de la Riva

Subjects: Probability (math.PR)

[25] arXiv:2509.02729 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Convergent points for random power series on the unit circle Show Chinese title

Title: 收敛点对于单位圆上的随机幂级数

Marcus Michelen, Mehtaab Sawhney

Comments: 14 pages

Subjects: Probability (math.PR) ; Classical Analysis and ODEs (math.CA)

[26] arXiv:2509.02747 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Contact process on interchange process Show Chinese title

Title: 接触过程在交换过程上

M. Hilário, D. Ungaretti, D. Valesin, M. E. Vares

Comments: 59 pages, 3 figures

Subjects: Probability (math.PR)

[27] arXiv:2509.02780 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: An extension of the Stein/Malliavin-Stein method to independent random variables Show Chinese title

Title: Stein/Malliavin-Stein方法到独立随机变量的扩展

Aleksandar Balašev-Samarski, Abdol-Reza Mansouri

Comments: 13 pages

Subjects: Probability (math.PR)

[28] arXiv:2509.02829 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: An iterated $I$-projection procedure for solving the generalized minimum information checkerboard copula problem Show Chinese title

Title: 求解广义最小信息棋盘核函数问题的迭代$I$-投影过程

Ivan Kojadinovic, Tommaso Martini

Comments: 36 pages, 9 figures

Subjects: Probability (math.PR) ; Statistics Theory (math.ST)

[29] arXiv:2509.02881 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: $q$-Deformed Discrete Whittaker Processes Show Chinese title

Title: $q$-变形离散Whittaker过程

Richard Ninness

Comments: 27 pages, 4 figures

Subjects: Probability (math.PR)

[30] arXiv:2509.02934 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Càdlàg modifications of Markov Processes Show Chinese title

Title: 马尔可夫过程的Càdlàg修正

Roni Edwin

Comments: 23 pages. This is a report of the work done in the David Harold Blackwell Summer Research Institute (DHBSRI)

Subjects: Probability (math.PR)

[31] arXiv:2509.02996 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Group-averaged Markov chains: mixing improvement Show Chinese title

Title: 组平均马尔可夫链：混合改进

Michael C.H. Choi, Youjia Wang

Comments: 68 pages

Subjects: Probability (math.PR) ; Information Theory (cs.IT) ; Group Theory (math.GR) ; Computation (stat.CO)

[32] arXiv:2509.03048 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Elephant random walks on infinite Cayley trees Show Chinese title

Title: 大象随机游走无限凯莱树

Soumendu Sundar Mukherjee

Comments: 12 pages, 1 figure

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)

[33] arXiv:2509.03065 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Mathematical research with GPT-5: a Malliavin-Stein experiment Show Chinese title

Title: 带有GPT-5的数学研究：一个Malliavin-Stein实验

Charles-Philippe Diez, Luis da Maia, Ivan Nourdin

Subjects: Probability (math.PR)

[34] arXiv:2509.03246 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Multipoint distributions of the KPZ fixed point with compactly supported initial conditions Show Chinese title

Title: 具有紧支撑初始条件的KPZ固定点的多点分布

Yuchen Liao, Zhipeng Liu

Comments: 37 pages, 3 figures. Revised version, statement and proof of Proposition 2.3 improved, proof of Theorem 3.4 slightly improved, minor changes made to improve the presentation, submitted to a journal

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)

[35] arXiv:2509.03252 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Show Chinese title

Title: 随机解析函数的零点与扰动酉矩阵的谱性质

Aniss Fares

Subjects: Probability (math.PR)

[36] arXiv:2509.03328 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Dynamical interface above a hard wall and reflected SPDE on the half-line Show Chinese title

Title: 硬墙上方的动态界面和半直线上的反射SPDE

Pierre Faugère, Cyril Labbé

Subjects: Probability (math.PR)

[37] arXiv:2509.03343 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Functional Limit Theorems for the range of stable random walks Show Chinese title

Title: 稳定随机游动范围的泛函极限定理

Maxence Baccara

Subjects: Probability (math.PR)

[38] arXiv:2509.03506 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A Brenier Theorem on $(\mathcal{P}_2 (\mathcal{P}_2(\mathbb{R}^d )), W_2 )$ and Applications to Adapted Transport Show Chinese title

Title: 一个Brenier定理在$(\mathcal{P}_2 (\mathcal{P}_2(\mathbb{R}^d )), W_2 )$上的应用及适应运输的应用

Mathias Beiglböck, Gudmund Pammer, Stefan Schrott

Subjects: Probability (math.PR) ; Functional Analysis (math.FA) ; Metric Geometry (math.MG) ; Optimization and Control (math.OC)

[39] arXiv:2509.03665 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Weak Existence for Degenerate Distribution Dependent SDEs with multiplicative Noise -- a pathwise regularization approach Show Chinese title

Title: 退化分布依赖随机微分方程带乘性噪声的弱存在性——一种路径正则化方法

Fabian Harang, Chengcheng Ling, Peter H. C. Pang

Comments: 18 pages

Subjects: Probability (math.PR) ; Classical Analysis and ODEs (math.CA)

[40] arXiv:2509.03697 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Criticality of the abelian sandpile in dimension 1 Show Chinese title

Title: 一维阿贝尔沙堆的临界性

Adrien Rezzouk

Subjects: Probability (math.PR)

[41] arXiv:2509.03780 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Natural Latents: Latent Variables Stable Across Ontologies Show Chinese title

Title: 自然潜在变量：在本体论中稳定的潜在变量

John Wentworth, David Lorell

Subjects: Probability (math.PR) ; Artificial Intelligence (cs.AI) ; Information Theory (cs.IT) ; Machine Learning (cs.LG)

[42] arXiv:2509.03971 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Euler-type approximation for the invariant measure: An abstract framework Show Chinese title

Title: 欧拉型近似不变测度：一个抽象框架

Aurélien Alfonsi, Vlad Bally, Arturo Kohatsu-Higa

Subjects: Probability (math.PR)

[43] arXiv:2509.04155 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: An Approach to Sub-Gaussian Heat Kernel Estimates via Analysis on Metric Spaces Show Chinese title

Title: 一种通过度量空间分析获得次高斯热核估计的方法

Riku Anttila

Comments: 32 pages, comments are welcome!

Subjects: Probability (math.PR) ; Functional Analysis (math.FA)

[44] arXiv:2509.04318 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Once-Reinforced and Self-Interacting Random Walks beyond exchangeability Show Chinese title

Title: 一次强化和超越可交换性的自相互作用随机游走

Andrea Collevecchio, Pierre Tarrès

Comments: Comments Welcome!

Subjects: Probability (math.PR)

[45] arXiv:2509.04333 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The limiting law of the Discrete Gaussian level-lines Show Chinese title

Title: 离散高斯水平线的极限定律

Joseph Chen, Eyal Lubetzky

Comments: 75 pages, 9 figures

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)

[46] arXiv:2509.04349 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Precise asymptotics for the norm of large random rectangular Toeplitz matrices Show Chinese title

Title: 大型随机矩形托普利茨矩阵范数的精确渐进行为

Alexei Onatski

Comments: 57 pages (34 pages excluding Supplementary Material), 3 figures

Subjects: Probability (math.PR)

[47] arXiv:2509.04608 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Skorokhod Transition in the Conic Market Model Show Chinese title

Title: 斯科罗霍德在圆锥市场模型中的转移

Artur Sidorenko

Comments: 9 pages

Subjects: Probability (math.PR)

[48] arXiv:2509.04688 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Dynamical approach to area law for lattice Yang-Mills Show Chinese title

Title: 用于格点杨-米尔斯理论面积定律的动力学方法

Sky Cao, Ron Nissim, Scott Sheffield

Comments: 8 pages. Minor revisions. Submitted

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)

[49] arXiv:2509.04862 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: How two elephants can learn from each other Show Chinese title

Title: 两头大象如何相互学习

Rafik Aguech, Shuo Qin

Comments: 19 pages

Subjects: Probability (math.PR)

[50] arXiv:2509.04898 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Equivalence by coupling for heterogeneous SIS models* Show Chinese title

Title: 耦合下的异质SIS模型等价性*

Jean-François Delmas (CERMICS), Dylan Dronnier (CERMICS), Pierre-André Zitt (LAMA)

Subjects: Probability (math.PR)