Probability

Authors and titles for March 2025

[1] arXiv:2503.00157 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Long-time propagation of chaos and exit times for metastable mean-field particle systems Show Chinese title

Title: 长时间传播的混沌性和亚稳态平均场粒子系统的退出时间

Pierre Monmarché

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

[2] arXiv:2503.00318 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Stability of Hölder regularity and weighted functional inequalities Show Chinese title

Title: Hölder正则性与加权泛函不等式的稳定性

Soobin Cho, Panki Kim

Comments: 61 pages

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

[3] arXiv:2503.00403 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On some properties of a positive linear operator via the Moran model in population genetics Show Chinese title

Title: 关于种群遗传学中基于Moran模型的一个正线性算子的若干性质

Takahiro Aoyama, Ryuya Namba

Comments: 16 pages

Subjects: Probability (math.PR)

[4] arXiv:2503.00718 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Differentiating unstable diffusion Show Chinese title

Title: 区分不稳定的扩散

Angxiu Ni

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

[5] arXiv:2503.00849 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Ancestral lineages and sampling in populations with density-dependent interactions Show Chinese title

Title: 祖先谱系与密度依赖相互作用种群中的采样

Madeleine Kubasch

Subjects: Probability (math.PR)

[6] arXiv:2503.00893 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: An averaging principle for nonlinear parabolic PDEs via reflected FBSDEs driven by G-Brownian motion Show Chinese title

Title: 通过由G-布朗运动驱动的反射倒向随机微分方程的非线性抛物型偏微分方程的平均化原理

Mengyao Hou

Subjects: Probability (math.PR)

[7] arXiv:2503.00921 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Foundations of regular variation on topological spaces Show Chinese title

Title: 拓扑空间上的正则变化基础

Bojan Basrak, Nikolina Milinčević, Ilya Molchanov

Comments: 133 pages

Subjects: Probability (math.PR)

[8] arXiv:2503.00987 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Probability of Transition to Turbulence in a Reduced Stochastic Model of Pipe Flow Show Chinese title

Title: 管道流动的简化随机模型中湍流的转换概率

Paolo Bernuzzi, Christian Kuehn

Comments: 25 pages, 10 figures

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Fluid Dynamics (physics.flu-dyn)

[9] arXiv:2503.00991 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Averaging principle for the stochastic primitive equations in the large rotation limit Show Chinese title

Title: 随机原始方程在大旋转极限下的平均化原理

Quyuan Lin, Rongchang Liu, Vincent R. Martinez

Comments: 44 pages

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

[10] arXiv:2503.01004 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Tail Asymptotics of Cluster Sizes in Multivariate Heavy-Tailed Hawkes Processes Show Chinese title

Title: 尾部渐近性在多变量重尾霍克斯过程中的聚类大小

Jose Blanchet, Roger J. A. Laeven, Xingyu Wang, Bert Zwart

Subjects: Probability (math.PR)

[11] arXiv:2503.01209 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Transformations of order one and quadratic forms on Wiener spaces Show Chinese title

Title: 一阶变换和维纳空间上的二次型

Setsuo Taniguchi

Subjects: Probability (math.PR)

[12] arXiv:2503.01320 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Masses of blocks of the $Λ$-coalescent with dust via stochastic flows Show Chinese title

Title: 具有尘埃的$Λ$-共轭块的质量通过随机流

Grégoire Véchambre

Comments: 47 pages

Subjects: Probability (math.PR)

[13] arXiv:2503.01484 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Concentration inequalities and large deviations for continuous greedy animals and paths Show Chinese title

Title: 连续贪心动物和路径的集中不等式和大偏差

Julien Verges (IDP, MODAL'X, FP2M)

Subjects: Probability (math.PR)

[14] arXiv:2503.01503 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Limit theorems and lack thereof for a multilayer random walk mimicking human mobility Show Chinese title

Title: 模仿人类流动性的多层随机游动的极限定理及其不足

Alessandra Bianchi, Marco Lenci, Françoise Pène

Comments: 28 pages, 2 figures

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

[15] arXiv:2503.01537 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Monge-Ampère gravitating fluids. Least action principles and particle systems Show Chinese title

Title: 蒙日-安培引力流体。 最小作用原理和粒子系统

Christian Léonard, Roya Mohayaee

Subjects: Probability (math.PR)

[16] arXiv:2503.01567 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Hyperuniformity and hyperfluctuations of random measures in commutative spaces Show Chinese title

Title: 齐次空间中随机测度的超均匀性和超波动

Michael Björklund, Mattias Byléhn

Comments: 42 pages

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

[17] arXiv:2503.01588 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A short proof of Isserlis' theorem Show Chinese title

Title: Isserlis定理的简短证明

Hans Z. Munthe-Kaas, Olivier Verdier, Gilles Vilmart

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

[18] arXiv:2503.01663 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Simultaneous elections in a polarized society make single-party sweeps more likely Show Chinese title

Title: 极化社会中的同时选举使单一政党全面获胜更有可能发生

Pradeep Dubey, Siddhartha Sahi

Comments: Keywords: Simultaneous elections, aligned functions, Harris inequality

Subjects: Probability (math.PR) ; Theoretical Economics (econ.TH)

[19] arXiv:2503.02314 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Stochastic Stefan problem on moving hypersurfaces: an approach by a new framework of nonhomogeneous monotonicity Show Chinese title

Title: 随机斯特凡问题在移动超曲面上：通过非齐次单调性新框架的方法

Tianyi Pan, Wei Wang, Jianliang Zhai, Tusheng Zhang

Comments: 43pages

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

[20] arXiv:2503.02473 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Point Process Approach to the Winner Problem Show Chinese title

Title: 点过程方法解决优胜者问题

Youri Davydov, Vladimir Rotar

Comments: 9 pages

Subjects: Probability (math.PR)

[21] arXiv:2503.02594 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The $\ell_{\infty}$ Directed Spanning Forest Show Chinese title

Title: $\ell_{\infty}$有向生成森林

Dipranjan Pal, Kumarjit Saha

Comments: 19 pages, 5 figures

Subjects: Probability (math.PR)

[22] arXiv:2503.02627 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Asymptotic fluctuations of smooth linear statistics of independently perturbed lattices Show Chinese title

Title: 独立扰动格子的平滑线性统计量的渐近波动

Gabriel Mastrilli

Subjects: Probability (math.PR)

[23] arXiv:2503.02793 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Intrinsic regularity in the discrete log-Sobolev inequality Show Chinese title

Title: 离散对数Sobolev不等式的固有正则性

Justin Salez, Pierre Youssef

Comments: 14 pages, comments welcome

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

[24] arXiv:2503.02795 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Large deviations of SLE(0+) variants in the capacity parameterization Show Chinese title

Title: SLE(0+)变体在容量参数化下的大偏差

Osama Abuzaid, Eveliina Peltola

Comments: v2: 49 pages, 3 figures + diagram; moved part of content of Sec.2.3 into Sec.3.1; streamlined some arguments in Sec.4.3 (see Thm.4.6 and Prop.4.8); clarified references and added App.D

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

[25] arXiv:2503.03047 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Stochastic block models with many communities and the Kesten--Stigum bound Show Chinese title

Title: 具有多个社区的随机块模型和Kesten-Stigum界

Byron Chin, Elchanan Mossel, Youngtak Sohn, Alexander S. Wein

Comments: 46 pages, 1 figure, added discussion and minor corrections, extended abstract in COLT 2025

Subjects: Probability (math.PR) ; Social and Information Networks (cs.SI) ; Statistics Theory (math.ST)

[26] arXiv:2503.03060 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Uniqueness of gauge covariant renormalisation of stochastic 3D Yang-Mills-Higgs Show Chinese title

Title: 随机三维杨-米尔斯-希格斯规范协变重整化的唯一性

Ilya Chevyrev, Hao Shen

Comments: 40 pages

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[27] arXiv:2503.03319 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Loop vs. Bernoulli percolation on trees: strict inequality of critical values Show Chinese title

Title: 树上的环与伯努利渗流：临界值的严格不等式

Andreas Klippel, Benjamin Lees, Christian Mönch

Comments: 20 pages, 2 figures

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

[28] arXiv:2503.03324 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: On the strong law of large numbers and Llog L condition for supercritical general branching processes Show Chinese title

Title: 关于超临界一般分枝过程的强大数定律和Llog L条件

Vincent Bansaye (CMAP, MERGE), Tresnia Berah, Bertrand Cloez (MISTEA)

Subjects: Probability (math.PR)

[29] arXiv:2503.03425 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Persistence probabilities of spherical fractional Brownian motion Show Chinese title

Title: 球面分数布朗运动的持续概率

Frank Aurzada, Max Helmer

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

[30] arXiv:2503.03531 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Wasserstein metric, gradient flow structure and well-posedness of Fokker-Planck equation on locally finite graphs Show Chinese title

Title: 图上Fokker-Planck方程的Wasserstein度量、梯度流结构和适定性

Cong Wang

Comments: 15 pages

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

[31] arXiv:2503.03565 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Probabilistic Insights for Efficient Exploration Strategies in Reinforcement Learning Show Chinese title

Title: 强化学习中高效探索策略的概率洞察

Ernesto Garcia, Paola Bermolen, Matthieu Jonckheere, Seva Shneer

Subjects: Probability (math.PR) ; Machine Learning (cs.LG)

[32] arXiv:2503.03580 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Asymptotic behaviors of subcritical branching killed spectrally negative Lévy process Show Chinese title

Title: 次临界分支被谱负Lévy过程杀掉的渐近行为

Yan-Xia Ren, Renming Song, Yaping Zhu

Comments: 47 pages

Subjects: Probability (math.PR)

[33] arXiv:2503.03628 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A mild rough Gronwall Lemma with applications to non-autonomous evolution equations Show Chinese title

Title: 带温和粗糙Gronwall引理及其在非自治演化方程中的应用

Alexandra Blessing, Mazyar Ghani Varzaneh, Tim Seitz

Comments: 49 pages, Comments are welcome!

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

[34] arXiv:2503.03636 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Expected number of jumps and the number of active particles in TASEP Show Chinese title

Title: TASEP中跳跃的期望次数和活跃粒子的数量

Paweł Hitczenko, Jacek Wesołowski

Comments: 1 figure

Subjects: Probability (math.PR)

[35] arXiv:2503.03647 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Vector-Valued Stochastic Integration With Respect to Semimartingales in the Dual of Nuclear Space Show Chinese title

Title: 向量值随机积分关于核空间对偶中的半鞅

C. A. Fonseca-Mora

Subjects: Probability (math.PR)

[36] arXiv:2503.03677 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Strong solutions for singular SDEs driven by long-range dependent fractional Brownian motion and other Volterra processes Show Chinese title

Title: 具有长程依赖分数布朗运动和其他伏特拉过程驱动的奇异随机微分方程的强解

Maximilian Buthenhoff, Ercan Sönmez

Subjects: Probability (math.PR)

[37] arXiv:2503.03685 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Gaussian-type density estimates for mixed SDEs driven by correlated fractional Brownian motions Show Chinese title

Title: 具有相关分数布朗运动驱动的混合SDE的高斯型密度估计

Maximilian Buthenhoff, Ercan Sönmez

Subjects: Probability (math.PR)

[38] arXiv:2503.03695 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Moderate Deviation Principle for Join-The-Shortest-Queue-d Systems Show Chinese title

Title: 对加入最短队列系统的中偏差原理

Zhenhua Wang, Ruoyu Wu

Comments: 27 pages

Subjects: Probability (math.PR)

[39] arXiv:2503.04060 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Limit laws for the generalized Zagreb indices of random graphs Show Chinese title

Title: 随机图的广义Zagreb指标的极限定律

Qunqiang Feng, Hongpeng Ren, Yaru Tian

Subjects: Probability (math.PR)

[40] arXiv:2503.04166 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On Two Parameter Time-Changed Poisson Random Fields with Drifts Show Chinese title

Title: 具有漂移的两个参数时间变换泊松随机场

Pradeep Vishwakarma, Manisha Dhillon, Kuldeep Kumar Kataria

Subjects: Probability (math.PR)

[41] arXiv:2503.04210 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Generalized Kac's moment formula for positive continuous additive functionals of symmetric Markov processes Show Chinese title

Title: 对称马尔可夫过程的正连续可加泛函的广义Kac矩公式

Naotaka Kajino, Ryoichiro Noda

Comments: 10 pages, the reference [11] and a new paragraph on it in the introduction have been added

Subjects: Probability (math.PR)

[42] arXiv:2503.04326 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Guided smoothing and control for diffusion processes Show Chinese title

Title: 引导平滑与扩散过程的控制

Oskar Eklund, Annika Lang, Moritz Schauer

Subjects: Probability (math.PR) ; Computation (stat.CO)

[43] arXiv:2503.04415 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: An integrable bound for semilinear rough partial differential equations with unbounded diffusion coefficients Show Chinese title

Title: 半线性粗糙偏微分方程的可积界与无界扩散系数

Alexandra Blessing, Mazyar Ghani Varzaneh

Subjects: Probability (math.PR)

[44] arXiv:2503.04448 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Polling on a circle with non-uniform batch arrivals Show Chinese title

Title: 圆环上的非均匀成批到达轮询

Tim Engels, Ivo Adan, Onno Boxma, Jacques Resing

Subjects: Probability (math.PR)

[45] arXiv:2503.04503 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Reinforced Loop Soup via Wilson's Algorithm Show Chinese title

Title: 通过威尔逊算法的强化环汤

Yinshan Chang, Yichao Huang, Dang-Zheng Liu, Xiaolin Zeng

Comments: This article supersedes arXiv:1911.09036

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

[46] arXiv:2503.04575 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: On Approximate Representation of Fractional Brownian Motion Show Chinese title

Title: 关于分数布朗运动的近似表示

Konstantin A. Rybakov

Subjects: Probability (math.PR)

[47] arXiv:2503.05137 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Small noise limits of Markov chains and the PageRank Show Chinese title

Title: 马尔可夫链的小噪声极限和网页排名

Vivek S Borkar, S Sowmya, Raghavendra Tripathi

Comments: 10 pages

Subjects: Probability (math.PR) ; Networking and Internet Architecture (cs.NI)

[48] arXiv:2503.05177 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Moment conditions for the asymptotic completeness of iid gap sequences Show Chinese title

Title: 独立同分布间隙序列的渐近完备性的矩条件

Vahram Asatryan, Erik Babasyan, Sevak Mkrtchyan

Comments: 11 pages

Subjects: Probability (math.PR) ; Combinatorics (math.CO) ; Number Theory (math.NT)

[49] arXiv:2503.05219 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exit Time Analysis For Kesten's Stochastic Recurrence Equations Show Chinese title

Title: Kesten随机递推方程的退出时间分析

Chang-Han Rhee, Jeeho Ryu, Insuk Seo

Comments: 56 pages, 2 figures

Subjects: Probability (math.PR)

[50] arXiv:2503.05311 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Upper tail bounds for irregular graphs Show Chinese title

Title: 不规则图的上尾界限

Anirban Basak, Shaibal Karmakar

Comments: 24 pages; This version contains additional results about typical structures of random graphs conditioned on upper tail events

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