Probability

Authors and titles for August 2025

[1] arXiv:2508.00294 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Formal Power Series Representations in Probability and Expected Utility Theory Show Chinese title

Title: 概率和期望效用理论中的形式幂级数表示

Arthur Paul Pedersen, Samuel Allen Alexander

Subjects: Probability (math.PR) ; Artificial Intelligence (cs.AI) ; Theoretical Economics (econ.TH) ; Logic (math.LO) ; Statistics Theory (math.ST)

[2] arXiv:2508.00747 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Zero Probability of the Cut Locus of a Fréchet Mean on a Riemannian Manifold Show Chinese title

Title: 流形上弗雷歇均值的切割点的零概率

Alexander Lytchak, Stephan F. Huckemann

Subjects: Probability (math.PR) ; Differential Geometry (math.DG)

[3] arXiv:2508.01147 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Definition formula for probabilities of independent events as a consequence of the Insufficient Reason Principle Show Chinese title

Title: 独立事件的概率定义公式作为充分理由原则的后果

Alexander Dukhovny

Comments: 4 pages

Subjects: Probability (math.PR)

[4] arXiv:2508.01355 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Strong Feller Regularisation of 1-d Nonlinear Transport by Reflected Ornstein-Uhlenbeck Noise Show Chinese title

Title: 一维非线性输运的反射奥恩斯坦-乌伦贝克噪声强费勒正则化

Max-K. von Renesse, Alexander Weiß

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

[5] arXiv:2508.01456 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Singular values of sparse random rectangular matrices: Emergence of outliers at criticality Show Chinese title

Title: 稀疏随机矩形矩阵的奇异值：临界点处异常值的出现

Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang, Yizhe Zhu

Comments: 65 pages, 7 figures

Subjects: Probability (math.PR) ; Combinatorics (math.CO) ; Numerical Analysis (math.NA) ; Statistics Theory (math.ST)

[6] arXiv:2508.01458 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Bulk asymptotics of the Gaussian $β$-ensemble characteristic polynomial Show Chinese title

Title: 高斯$β$系统特征多项式的整体渐进行为

Gaultier Lambert, Elliot Paquette

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

[7] arXiv:2508.01703 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Concentration inequalities and Transfer operators for supercritical Dyson models Show Chinese title

Title: 集中不等式和超临界Dyson模型的转移算子

Mirmukhsin Makhmudov

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

[8] arXiv:2508.01794 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exponential mixing for the stochastic Kuramoto-Sivashinsky equation on the 1D torus Show Chinese title

Title: 一维环面上随机 Kuramoto-Sivashinsky 方程的指数混合

Peng Gao, Hung D. Nguyen

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

[9] arXiv:2508.01872 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Density convergence of spatial average of solution to a one dimensional stochastic wave equation Show Chinese title

Title: 一维随机波动方程解的空间平均的密度收敛性

Chengbo Sun, Yaozhong Hu

Comments: 23 pages

Subjects: Probability (math.PR)

[10] arXiv:2508.01891 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Time multidimensional Markov Renewal chains -- An algebraic approach Show Chinese title

Title: 时间多维马尔可夫更新链——代数方法

Leonidas Kordalis, Samis Trevezas

Subjects: Probability (math.PR)

[11] arXiv:2508.01895 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Strong and weak well-posedness of McKean-Vlasov SDEs driven by $α$-stable processes under unified condition Show Chinese title

Title: 在统一条件下由$α$-稳定过程驱动的麦克尔-弗拉索夫随机微分方程的强和弱适定性

Zimo Hao

Comments: 11 pages

Subjects: Probability (math.PR)

[12] arXiv:2508.01993 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Upper bounds for the connective constant of weighted self-avoiding walks Show Chinese title

Title: 加权非交叉行走的连通常数的上界

Qidong He

Comments: 20 pages, 3 figures, 4 tables. By relaxing Condition I compared to v2, the method now applies to the full class of lattices considered by Alm

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

[13] arXiv:2508.02014 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: McKean-Vlasov SPDEs driven by Poisson random measure: Well-posedness and large deviation principle Show Chinese title

Title: 由泊松随机测度驱动的麦凯恩-弗拉索夫 SPDE：适定性与大偏差原理

Yuhang Jiang, Jinming Li, Shihu Li

Comments: 40pages

Subjects: Probability (math.PR)

[14] arXiv:2508.02078 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Arnoldi Aggregation for Approximate Transient Distributions of Markov Chains Show Chinese title

Title: Arnoldi 聚合用于马尔可夫链的近似瞬态分布

Patrick Sonnentag, Fabian Michel, Markus Siegle

Comments: 15 pages, 8 figures

Subjects: Probability (math.PR)

[15] arXiv:2508.02263 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Model reduction for fully nonlinear stochastic systems Show Chinese title

Title: 全非线性随机系统的模型降阶

Martin Redmann

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

[16] arXiv:2508.02416 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On the surjectivity of the conditional expectation given a real random variable Show Chinese title

Title: 关于给定实随机变量的条件期望的满射性

Julien Guyon, Thibault Jeannin, Benjamin Jourdain

Subjects: Probability (math.PR)

[17] arXiv:2508.02478 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Strong disorder for Stochastic Heat Flow and 2D Directed Polymers Show Chinese title

Title: 强无序对于随机热流和二维定向聚合物

Quentin Berger, Francesco Caravenna, Nicola Turchi

Comments: 36 pages, 2 figures

Subjects: Probability (math.PR)

[18] arXiv:2508.02615 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Optimality of empirical measures as quantizers Show Chinese title

Title: 经验测度作为量化器的最优性

March T. Boedihardjo

Subjects: Probability (math.PR)

[19] arXiv:2508.02700 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Some stochastic process techniques applied to deterministic models Show Chinese title

Title: 一些随机过程技术在确定性模型中的应用

Eric José Ávila-Vales, José Villa-Morales

Comments: 26 pages

Subjects: Probability (math.PR)

[20] arXiv:2508.02828 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A probabilistic look at the infinite hat-guessing game Show Chinese title

Title: 一种概率视角下的无限帽子猜测游戏

Nathaniel Eldredge

Comments: 18 pages

Subjects: Probability (math.PR) ; Logic (math.LO)

[21] arXiv:2508.02955 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Towards a Banach Space Chernoff Bound for Markov Chains via Chaining Arguments Show Chinese title

Title: 通过链式论证的马尔可夫链巴拿赫空间Chernoff界

Shravas Rao

Subjects: Probability (math.PR)

[22] arXiv:2508.03205 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Strong solutions to singular SDEs and application to the Lennard-Jones potential Show Chinese title

Title: 奇异随机微分方程的强解及其在Lennard-Jones势能中的应用

Daniela Morale, Giulia Rui, Stefania Ugolini

Subjects: Probability (math.PR)

[23] arXiv:2508.03354 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Quenching time and probability estimates for a stochastic reaction-diffusion system with coupled inner singular absorption terms driven by mixed noises Show Chinese title

Title: 淬火时间及带有耦合内部奇异吸收项的混合噪声驱动随机反应扩散系统的概率估计

Nikos I. Kavallaris, Christos V. Nikolopoulos, Subramani Sankar

Comments: 33 pages, 2 figures

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

[24] arXiv:2508.03424 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators Show Chinese title

Title: 伊藤-斯特拉托诺维奇无限维转换对于无界、时间依赖、非线性算子

Daniel Goodair

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

[25] arXiv:2508.03452 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Reconstructing the Probability Measure of a Curie-Weiss Model Observing the Realisations of a Subset of Spins Show Chinese title

Title: 重建Curie-Weiss模型的概率测度，观察自旋子集的实现

Miguel Ballesteros, Ivan Naumkin, Gabor Toth

Comments: arXiv admin note: text overlap with arXiv:2507.17073

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

[26] arXiv:2508.03577 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Phase Transitions in a Particle Model for the Self-Adaptive Response to Cancer Dynamics Show Chinese title

Title: 粒子模型中的相变自适应响应癌症动力学

Christian Kuehn, Quirin Vogel

Subjects: Probability (math.PR) ; Adaptation and Self-Organizing Systems (nlin.AO)

[27] arXiv:2508.03631 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Bulk Universality for Sparse Complex non-Hermitian Random Matrices Show Chinese title

Title: 稀疏复非厄米随机矩阵的总体性

Mohammed Osman

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

[28] arXiv:2508.03671 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Fast Computation of Path Integrals of Killed Processes Using Confined Stochastic Bridges Show Chinese title

Title: 使用受限随机桥快速计算被杀过程的路径积分

Henrique B. N. Monteiro, Daniel M. Tartakovsky

Comments: Submitted to SIAM Journal on Scientific Computing

Subjects: Probability (math.PR) ; Computational Physics (physics.comp-ph)

[29] arXiv:2508.04089 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes Show Chinese title

Title: 长时间行为和实值性状结构的出生与死亡过程的Yaglom极限

Pierre Collet (CPHT), Sylvie Méléard (MERGE, CMAP), Jaime San (CMM)

Subjects: Probability (math.PR)

[30] arXiv:2508.04327 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Matrix Rosenthal and Concentration Inequalities for Markov Chains with Applications in Statistical Learning Show Chinese title

Title: 矩阵罗森塔尔不等式和马尔可夫链的集中不等式及其在统计学习中的应用

Yang Peng, Yuchen Xin, Zhihua Zhang

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

[31] arXiv:2508.04373 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Differential Shannon and Rényi entropies revisited Show Chinese title

Title: 微分香农和Rényi熵的重新审视

Yuliya Mishura, Kostiantyn Ralchenko

Comments: 18 pages, 5 figures

Subjects: Probability (math.PR)

[32] arXiv:2508.04386 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Universality for fluctuations of counting statistics of random normal matrices Show Chinese title

Title: 随机正规矩阵计数统计波动的普遍性

J. Marzo, L. D. Molag, J. Ortega-Cerdà

Comments: 31 pages

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

[33] arXiv:2508.04501 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Local-global correlations of dynamics on disordered energy landscapes Show Chinese title

Title: 动态在无序能量景观上的局部-全局相关性

Jacob Calvert, Dana Randall

Comments: 17 pages, 3 figures

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

[34] arXiv:2508.04637 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Coupled KPZ equations and their decoupleability Show Chinese title

Title: 耦合KPZ方程及其可解耦性

Boliang Fu, Tadahisa Funaki, Sunder Sethuraman, Shankar Venkataramani

Comments: 31 pgs

Subjects: Probability (math.PR) ; Algebraic Geometry (math.AG)

[35] arXiv:2508.04640 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The probabilities for the number of intersections in the Buffon-Laplace needle problem in $\mathbb{R}^d$ Show Chinese title

Title: 在$\mathbb{R}^d$中的布丰-拉普拉斯针问题中交叉次数的概率

Uwe Bäsel

Comments: 12 pages, 2 figures

Subjects: Probability (math.PR)

[36] arXiv:2508.04760 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Taylor Measure and its Applications Show Chinese title

Title: 泰勒测度及其应用

Athanasios Christou Micheas

Comments: 22 pages, definitions of the Taylor measure, Taylor probability measures, Stochastic Taylor measure, and generalization of Taylor's Theorem

Subjects: Probability (math.PR)

[37] arXiv:2508.04891 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Limiting Spectral Distribution for Sparse Elliptic Random Matrices Show Chinese title

Title: 稀疏椭圆随机矩阵的极限谱分布

Jackson Carpenter, Sean O'Rourke

Comments: 48 pages, 3 figures

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

[38] arXiv:2508.04938 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Perfect t-embeddings of doubly periodic Aztec diamonds Show Chinese title

Title: 完美t-嵌入的双周期阿兹特克钻石

Tomas Berggren, Matthew Nicoletti, Marianna Russkikh

Comments: 64 pages, 11 figures; minor edits to introduction to clarify presentation

Subjects: Probability (math.PR) ; Complex Variables (math.CV)

[39] arXiv:2508.04954 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Conditional exponential directed last passage percolation under a one-point upper large deviation event Show Chinese title

Title: 在一点上界大偏差事件下的条件指数定向最后通过渗流

Jinho Baik, Dylan Cordaro, Tejaswi Tripathi

Comments: 53 pages; a few more references are added in version 2

Subjects: Probability (math.PR)

[40] arXiv:2508.04997 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Switching Diffusion Systems with Past-Dependent Switching and Countable State Space: Successful Couplings and Strong Ergodicity Show Chinese title

Title: 带有过去依赖切换和可数状态空间的切换扩散系统：成功耦合和强遍历性

Fubao Xi, Yafei Zhai, Chao Zhu

Subjects: Probability (math.PR)

[41] arXiv:2508.05022 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Dependent Default Modeling through Multivariate Generalized Cox Processes Show Chinese title

Title: 通过多变量广义Cox过程的依赖性默认建模

Djibril Gueye, Alejandra Quintos

Subjects: Probability (math.PR) ; Mathematical Finance (q-fin.MF)

[42] arXiv:2508.05032 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On the spatio-temporal increments of nonlinear parabolic SPDEs and the open KPZ equation Show Chinese title

Title: 关于非线性抛物型SPDEs的时空增量和开放KPZ方程

Jingwu Hu, Cheuk Yin Lee

Subjects: Probability (math.PR)

[43] arXiv:2508.05178 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On local large deviations for decoupled random walks Show Chinese title

Title: 关于解耦随机游走的局部大偏差

Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych

Subjects: Probability (math.PR)

[44] arXiv:2508.05194 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A resolution of the Gaussian hyperplane tessellation conjecture on the sphere Show Chinese title

Title: 球面上高斯超平面分割猜想的解决

Sjoerd Dirksen, Nigel Q. D. Strachan

Subjects: Probability (math.PR)

[45] arXiv:2508.05603 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The discrete periodic Pitman transform: invariances, braid relations, and Burke properties Show Chinese title

Title: 离散周期 Pitman 变换：不变性、辫子关系和 Burke 性质

Eva R. Engel, Benjamin Jasper Kra-Caskey, Oleksandr Lazorenko, Caio Hermano Maia de Oliveira, Evan Sorensen, Ivan Wong, Ryan Xu, Xinyi Zhang

Comments: v2 19 pages, 5 figures. We have removed Theorems 1.12 and 1.13 to streamline the exposition. We hope to explore these in more depth in future work

Subjects: Probability (math.PR)

[46] arXiv:2508.05802 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Localization of One-Dimensional Random Band Matrices Show Chinese title

Title: 一维随机带状矩阵的定位

Reuben Drogin

Comments: Updated references

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

[47] arXiv:2508.06198 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Distribution Dependent Birth-Death Processes: $\mathbb{W}_p$-Estimate, Ergodicity and Propagation of Chaos Show Chinese title

Title: 分布依赖的生灭过程：$\mathbb{W}_p$估计，遍历性和混沌传播

Feng-Yu Wang, Yi Zhao

Subjects: Probability (math.PR)

[48] arXiv:2508.06261 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Tanaka formula for SDEs driven by fractional Brownian motion Show Chinese title

Title: Tanaka公式用于由分数布朗运动驱动的随机微分方程

Tommi Sottinen, Ercan Sönmez, Lauri Viitasaari

Subjects: Probability (math.PR)

[49] arXiv:2508.06298 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A short proof of free energy limit of two spin spherical Sherrington-Kirkpatrick model at any temperature Show Chinese title

Title: 两自旋球面Sherrington-Kirkpatrick模型在任何温度下的自由能极限的简短证明

Debapratim Banerjee

Comments: 10 pages

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

[50] arXiv:2508.06397 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The convex structure of the Parisi formula for multi-species spin glasses Show Chinese title

Title: 多物种自旋玻璃的Parisi公式的凸结构

Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat

Comments: 66 pages

Subjects: Probability (math.PR) ; Disordered Systems and Neural Networks (cond-mat.dis-nn)