Probability

Authors and titles for July 2025

[1] arXiv:2507.00329 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Oriented bond-site percolation in random environment and contact processes with periodic recovery Show Chinese title

Title: 定向键位渗流在随机环境中与周期恢复的接触过程

Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu

Subjects: Probability (math.PR)

[2] arXiv:2507.00346 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The strong convergence phenomenon Show Chinese title

Title: 强收敛现象

Ramon van Handel

Comments: 75 pages, 8 figures; survey paper for Current Developments in Mathematics 2025

Subjects: Probability (math.PR) ; Combinatorics (math.CO) ; Group Theory (math.GR) ; Operator Algebras (math.OA) ; Spectral Theory (math.SP)

[3] arXiv:2507.00362 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Paper-Scissors-Stone Model for Interacting Population and its Limit Theorem Show Chinese title

Title: 纸剪石模型用于相互作用种群及其极限定理

Yasunori Okabe, Hajime Mano, Yoshiaki Itoh

Subjects: Probability (math.PR)

[4] arXiv:2507.00399 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The predicable dance of random walk: local limit theorems on finitely-generated abelian groups Show Chinese title

Title: 随机游走的可判定舞蹈：有限生成阿贝尔群上的局部极限定理

Evan Randles, Yutong Yan

Subjects: Probability (math.PR)

[5] arXiv:2507.00457 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Multi-point local time penalizations with various clocks for one-dimensional Lévy processes Show Chinese title

Title: 一维Lévy过程的多点局部时间惩罚与各种时钟

Kohki Iba

Comments: 30 pages, 1 figures

Subjects: Probability (math.PR)

[6] arXiv:2507.00463 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Stein's method for max-stable random vectors Show Chinese title

Title: 斯坦方法用于最大稳定随机向量

Bruno Costacèque, Laurent Decreusefond

Subjects: Probability (math.PR)

[7] arXiv:2507.00556 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: A Critical Note on Information Distortion in a Supply Chain The Bullwhip Effect Show Chinese title

Title: 供应链中信息扭曲的批判性注释 蛋鞭效应

Hau Mike Ma, Jiazhen Huo

Subjects: Probability (math.PR)

[8] arXiv:2507.00704 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Malliavin differentiability for the excursion measure of a Gaussian field Show Chinese title

Title: 高斯场的轨道测度的马尔可夫微分性

Leonardo Maini

Comments: 17 pages

Subjects: Probability (math.PR)

[9] arXiv:2507.00737 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Dispersion models on a circle: universal properties and asymptotic results Show Chinese title

Title: 圆上的扩散模型：普遍性质和渐近结果

Jean-François Marckert, Zoé Varin

Comments: 61 pages, 9 figures

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

[10] arXiv:2507.01144 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Law of the Iterated Logarithm for Markov Semigroups with Exponential Mixing in the Wasserstein Distance Show Chinese title

Title: 关于在Wasserstein距离下具有指数混合性的马尔可夫半群的迭代对数定律

Dawid Czapla, Sander C. Hille, Katarzyna Horbacz, Hanna Wojewódka-Ściążko

Subjects: Probability (math.PR)

[11] arXiv:2507.01236 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Disintegration theorem for multifunctions, with applications to empirical Wasserstein distances and average-case statistical bounds Show Chinese title

Title: 多值函数的分解定理，用于经验Wasserstein距离和平均情况统计界限

James Allen Fill, Lachlan Ewen MacDonald

Comments: 20 pages

Subjects: Probability (math.PR)

[12] arXiv:2507.01406 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On Iterated Lorenz Curves with Applications: The Bivariate Case Show Chinese title

Title: 关于迭代洛伦兹曲线及其应用：双变量情况

Vilimir Yordanov

Subjects: Probability (math.PR)

[13] arXiv:2507.01570 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Introduction to quantum exclusion processes Show Chinese title

Title: 量子排斥过程简介

Guillaume Barraquand, Denis Bernard

Comments: 29 pages

Subjects: Probability (math.PR) ; Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)

[14] arXiv:2507.01572 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Stochastic Sandpile model: exact sampling and complete graph Show Chinese title

Title: 随机沙堆模型：精确采样和完全图

Concetta Campailla, Nicolas Forien

Subjects: Probability (math.PR)

[15] arXiv:2507.01708 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Functional central limit theorems for the dynamic elephant random walk Show Chinese title

Title: 动态大象随机游走的函数中心极限定理

Go Tokumitsu

Subjects: Probability (math.PR)

[16] arXiv:2507.01767 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Mind the jumps: when 2BSDEs meet semi-martingales Show Chinese title

Title: 注意跳跃：当2BSDEs遇到半鞅

Dylan Possamaï, Marco Rodrigues, Alexandros Saplaouras

Comments: 107 pages

Subjects: Probability (math.PR) ; Optimization and Control (math.OC)

[17] arXiv:2507.01845 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Martingales and Path-Dependent PDEs via Evolutionary Semigroups Show Chinese title

Title: 鞅与通过进化半群的路径依赖偏微分方程

Robert Denk, Markus Kunze, Michael Kupper

Comments: 36 pages, no figures

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

[18] arXiv:2507.01871 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On vector-valued functional equations with multiple recursive terms Show Chinese title

Title: 关于具有多个递归项的向量值泛函方程

Ioannis Dimitriou

Comments: arXiv admin note: text overlap with arXiv:2404.10361

Subjects: Probability (math.PR)

[19] arXiv:2507.01948 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Deep BSVIEs Parametrization and Learning-Based Applications Show Chinese title

Title: 深度BSVIEs参数化与基于学习的应用

Nacira Agram, Giulia Pucci

Comments: 30 pages, 26 figures

Subjects: Probability (math.PR)

[20] arXiv:2507.02298 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Local laws and spectral properties of deformed sparse random matrices Show Chinese title

Title: 局部定律和变形稀疏随机矩阵的谱性质

Ji Oon Lee, Inyoung Yeo

Comments: 57 pages

Subjects: Probability (math.PR)

[21] arXiv:2507.02449 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Random dynamical systems for McKean--Vlasov SDEs via rough path theory Show Chinese title

Title: 基于粗糙路径理论的 McKean--Vlasov 随机微分方程的随机动力系统

Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu

Subjects: Probability (math.PR) ; Dynamical Systems (math.DS)

[22] arXiv:2507.02452 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: An Improved Lower Bound for the Critical Parameter of the Stavskaya's Process via a Generalized Recurrent Method Show Chinese title

Title: 通过广义递归方法对Stavskaya过程临界参数的改进下界

Olivier Couronné (MODAL'X)

Subjects: Probability (math.PR)

[23] arXiv:2507.02518 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs Show Chinese title

Title: 相对熵和$L^2$-Wasserstein距离下的非平衡部分耗散动力学SDE的指数遍历性

Xing Huang, Eva Kopfer, Pierre Monmarché, Panpan Ren

Comments: 27 pages

Subjects: Probability (math.PR)

[24] arXiv:2507.02627 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Triangle Friendship Paradox Show Chinese title

Title: 三角形友谊悖论

Bishakh Bhattacharya, Nitya Gadhiwala, Frank den Hollander, Pradeeptha R Jain, Tejashree Subramanya

Comments: 29 pages, 9 figures, 2 tables

Subjects: Probability (math.PR)

[25] arXiv:2507.02649 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Restricted Quasiconvexity Isometry Property for Symmetric $α$-Stable Random Matrices Show Chinese title

Title: 对称$α$-稳定随机矩阵的限制拟凸性等距性质

Sunder Ram Krishnan

Comments: 10 pages

Subjects: Probability (math.PR) ; Signal Processing (eess.SP)

[26] arXiv:2507.02676 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On Loops in critical high-dimensional percolation Show Chinese title

Title: 关于临界高维渗透中的环

Amelia Carpenter, Wendelin Werner

Comments: 20 pages, V2: minor modifications

Subjects: Probability (math.PR)

[27] arXiv:2507.02759 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: An Easy Proof of a Weak Version of Chernoff inequality Show Chinese title

Title: 一个弱版本切诺夫不等式的简单证明

Sariel Har-Peled

Subjects: Probability (math.PR) ; Data Structures and Algorithms (cs.DS) ; Combinatorics (math.CO)

[28] arXiv:2507.02776 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Splitting algorithm and normed convergence for drawing the random Loewner curves Show Chinese title

Title: 分裂算法和范数收敛用于绘制随机Loewner曲线

Jiaming Chen, Vlad Margarint

Comments: To appear on Proceedings of the Royal Society A

Subjects: Probability (math.PR)

[29] arXiv:2507.02796 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Random Flights and Anomalous Diffusion: A Non-Markovian Take on Lorentz Processes Show Chinese title

Title: 随机飞行与异常扩散：对洛伦兹过程的非马尔可夫视角

Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas, Bruno Toaldo

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

[30] arXiv:2507.03215 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues Show Chinese title

Title: 反射耦合布朗运动的平稳行为及其在最短剩余处理时间队列中的应用

Sixian Jin, Marvin Pena, Amber L. Puha

Comments: 35 pages, 1 figure

Subjects: Probability (math.PR)

[31] arXiv:2507.03265 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Graphon particle system with common noise Show Chinese title

Title: 带有共同噪声的图论粒子系统

Erhan Bayraktar, Xihao He, Donghan Kim

Comments: 33 pages

Subjects: Probability (math.PR)

[32] arXiv:2507.03348 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Show Chinese title

Title: 具有奇异生成器的多维倒向随机微分方程类，其生成器呈现对角二次增长及应用

Wenbo Wang, Guangyan Jia

Subjects: Probability (math.PR)

[33] arXiv:2507.03552 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On one-dimensional Cluster cluster model Show Chinese title

Title: 关于一维簇簇模型

Noam Berger, Eviatar B. Procaccia, Daniel Sharon

Comments: 20 pages, 6 figures

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

[34] arXiv:2507.03700 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exponentially Fading Memory Signature Show Chinese title

Title: 指数衰减记忆签名

Eduardo Abi Jaber, Dimitri Sotnikov

Subjects: Probability (math.PR)

[35] arXiv:2507.03820 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Perturbative renormalisation of the $Φ^4_{4-\varepsilon}$ model via generalized Wick maps Show Chinese title

Title: 微扰重整化通过广义Wick映射的$Φ^4_{4-\varepsilon}$模型

Nils Berglund, Tom Klose, Nikolas Tapia

Comments: 29 pages

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

[36] arXiv:2507.03931 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Supermarket Model on a Dynamic Regular Hypergraph Show Chinese title

Title: 动态正则超图上的超市模型

John Fernley, Balázs Gerencsér

Comments: 22 pages, 1 figure

Subjects: Probability (math.PR)

[37] arXiv:2507.03965 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Crossings and diffusion in Poisson driven marked random connection models Show Chinese title

Title: 泊松驱动的标记随机连接模型中的交叉和扩散

Alessandra Faggionato, Ivailo Hartarsky

Comments: 31 pages, 1 figure. Minor improvements to the presentation. Added Theorem 2.6

Subjects: Probability (math.PR)

[38] arXiv:2507.04022 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On the existence of negative moments for some non-colliding particle systems and its application Show Chinese title

Title: 某些非碰撞粒子系统负矩的存在性及其应用

Minh Thang Do, Hoang Long Ngo

Comments: 10 pages, The final version will be pulished in Stochastic

Subjects: Probability (math.PR)

[39] arXiv:2507.04035 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Divergence-Kernel method for scores of random systems Show Chinese title

Title: 随机系统的得分发散核方法

Angxiu Ni

Comments: 22 pages

Subjects: Probability (math.PR) ; Dynamical Systems (math.DS) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC)

[40] arXiv:2507.04058 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Effective Gaps between singular values of non-stationary matrix products subject to non-degenerate noise Show Chinese title

Title: 非平稳矩阵乘积在非退化噪声下的奇异值之间的有效间隙

Sam Bednarski, Jonathan DeWitt, Anthony Quas

Subjects: Probability (math.PR) ; Dynamical Systems (math.DS)

[41] arXiv:2507.04098 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Parallel spin wave for the Villain model Show Chinese title

Title: 平行自旋波对于Villain模型

Paul Dario, Wei Wu

Comments: 57 pages, 1 figure. Comments are welcome

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

[42] arXiv:2507.04427 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Persistence probabilities for MA(1) sequences with uniform innovations Show Chinese title

Title: MA(1)序列在均匀创新下的持久性概率

Frank Aurzada, Kilian Raschel

Comments: 22 pages, 1 figure

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

[43] arXiv:2507.04505 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Heights of butterfly trees Show Chinese title

Title: 蝴蝶树的高度

John Peca-Medlin, Chenyang Zhong

Subjects: Probability (math.PR) ; Data Structures and Algorithms (cs.DS) ; Combinatorics (math.CO)

[44] arXiv:2507.04507 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: B-splines approximate the Gaussian density and Hermite functions in Schwartz seminorms Show Chinese title

Title: B样条在施瓦茨半范数中近似高斯密度和埃尔米特函数

Maciej Rzeszut, Michał Wojciechowski

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

[45] arXiv:2507.04745 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Boundary contacts for reflected random walks in the quarter plane Show Chinese title

Title: 在四分之一平面上的反射随机游走的边界接触

Viet Hung Hoang, Kilian Raschel

Comments: 36 pages, 5 figures

Subjects: Probability (math.PR)

[46] arXiv:2507.04753 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Critical Point Processes Obtained from a Gaussian Random Field with a View Towards Statistics Show Chinese title

Title: 从高斯随机场中获得的临界点过程及其在统计学中的应用

Julien Chevallier (SVH, LJK), Jean-François Coeurjolly (LJK, SVH), Rasmus Waagepetersen

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

[47] arXiv:2507.04768 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Contact process with viral load Show Chinese title

Title: 带有病毒载量的接触过程

Marco Seiler

Comments: 29 pages, 3 figures

Subjects: Probability (math.PR)

[48] arXiv:2507.04861 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Fractional Bessel Process with Constant Drift: Spectral Analysis and Queueing Applications Show Chinese title

Title: 带有常数漂移的分数贝塞尔过程：谱分析与排队论应用

Ivan Papić

Subjects: Probability (math.PR)

[49] arXiv:2507.04867 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Local limit of Prim's algorithm Show Chinese title

Title: Prim算法的局部极限

Benoît Corsini, Rowel Gündlach, Remco van der Hofstad

Comments: 29 pages, 4 figures

Subjects: Probability (math.PR)

[50] arXiv:2507.04882 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: A Discretization Scheme for BSDEs with Random Time Horizon Show Chinese title

Title: 一种针对随机时间范围的倒向随机微分方程的离散化方案

Frank T. Seifried (1), Maximilian Würschmidt (1) ((1) Trier University)

Comments: 44 pages

Subjects: Probability (math.PR) ; Numerical Analysis (math.NA)