Probability

Authors and titles for June 2023

[1] arXiv:2306.00130 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The ancestral selection graph for a $Λ$-asymmetric Moran model Show Chinese title

Title: 一个$Λ$-不对称Moran模型的祖先选择图

Adrián González Casanova, Noemi Kurt, José Luis Pérez

Comments: Substantially revised. The results are unchanged with respect to v1, but the presentation has been changed. References added and corrected

Subjects: Probability (math.PR) ; Populations and Evolution (q-bio.PE)

[2] arXiv:2306.00209 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Exponential inequalities in probability spaces revisited Show Chinese title

Title: 概率空间中的指数不等式再探

Ali Barki, Sergey G.Bobkov, Esther Bou Dagher, Cyril Roberto

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

[3] arXiv:2306.00274 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Optimal Rate-Matrix Pruning For Large-Scale Heterogeneous Systems Show Chinese title

Title: 大规模异构系统的最优率矩阵剪枝

Zhisheng Zhao, Debankur Mukherjee

Comments: 38 pages

Subjects: Probability (math.PR) ; Distributed, Parallel, and Cluster Computing (cs.DC) ; Performance (cs.PF)

[4] arXiv:2306.00289 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Large deviation for slow-fast McKean-Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions Show Chinese title

Title: 大偏差对于由分数布朗运动和布朗运动驱动的慢速-快速McKean-Vlasov随机微分方程

Hao Wu, Junhao Hu, Chenggui Yuan

Subjects: Probability (math.PR)

[5] arXiv:2306.00300 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion Show Chinese title

Title: 非厄米矩阵值布朗运动的特征值、特征向量重叠以及正则化的 Fuglede-Kadison 确定值

Syota Esaki, Makoto Katori, Satoshi Yabuoku

Comments: v3: LaTeX, 38 pages, no figure

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

[6] arXiv:2306.00383 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Survival and maximum of spectrally negative branching L{é}vy processes with absorption Show Chinese title

Title: 谱负分支L{é}过程的生存与最大值以及吸收

Christophe Profeta (LaMME)

Subjects: Probability (math.PR)

[7] arXiv:2306.00486 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Approximation for the invariant measure with applications for jump processes (convergence in total variation distance) Show Chinese title

Title: 不变测度的近似及其在跳跃过程中的应用（总体变差距离收敛）

Vlad Bally (MATHRISK, LAMA), Yifeng Qin (LAMA)

Comments: arXiv admin note: text overlap with arXiv:2212.07411

Subjects: Probability (math.PR)

[8] arXiv:2306.00967 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Free Stein kernels, free moment maps, and higher order derivatives Show Chinese title

Title: 自由Stein核，自由矩映射和高阶导数

Charles-Philippe Diez

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

[9] arXiv:2306.01178 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Pearcey universality at cusps of polygonal lozenge tiling Show Chinese title

Title: 多边形菱形镶嵌尖点处的Pearcey普适性

Jiaoyang Huang, Fan Yang, Lingfu Zhang

Comments: Minor change; 59 pages, 9 figures

Journal-ref: Comm. Pure Appl. Math. 77 (9), 3708-3784 (September 2024)

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

[10] arXiv:2306.01450 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Multidimensional random motions with a natural number of finite velocities Show Chinese title

Title: 具有有限速度的自然数维度随机运动

Fabrizio Cinque, Mattia Cintoli

Comments: 29 pages

Journal-ref: Adv. Appl. Probab. 56 (2024) 1033-1063

Subjects: Probability (math.PR)

[11] arXiv:2306.01502 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Ruin probability for renewal risk models with neutral net profit condition Show Chinese title

Title: 破产概率对于具有中性净收益条件的更新风险模型

Andrius Grigutis, Arvydas Karbonskis, Jonas Šiaulys

Subjects: Probability (math.PR)

[12] arXiv:2306.01527 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models Show Chinese title

Title: 二维中的离域性和连续性：环O(2)、六顶点和随机簇模型

Alexander Glazman, Piet Lammers

Comments: 50 pages, 10 figures

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

[13] arXiv:2306.01537 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The radius of a self-repelling star polymer Show Chinese title

Title: 自斥星形聚合物的半径

Carl Mueller, Eyal Neuman

Comments: 33 pages

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

[14] arXiv:2306.01698 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Universality Conjectures for Activated Random Walk Show Chinese title

Title: 激活随机游走的普遍性猜想

Lionel Levine, Vittoria Silvestri

Comments: 22 pages, 10 figures

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

[15] arXiv:2306.02028 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Averaging principle for McKean-Vlasov SDEs driven by multiplicative fractional noise with highly oscillatory drift coefficient Show Chinese title

Title: 麦卡恩-弗拉索夫随机微分方程的平均化原理，由乘法分数噪声驱动，具有高度振荡的漂移系数

Bin Pei, Lifang Feng, Min Han

Comments: 12 pages

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

[16] arXiv:2306.02030 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Almost Sure Averaging for Evolution Equations driven by fractional Brownian motions Show Chinese title

Title: 几乎必然平均化对于由分数布朗运动驱动的演化方程

Bin Pei, Bjoern Schmalfuss, Yong Xu

Comments: 38 pages

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

[17] arXiv:2306.02047 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Large deviation principle for multi-scale distribution dependent stochastic differential equations driven by fractional Brownian motions Show Chinese title

Title: 多尺度分布依赖随机微分方程关于分数布朗运动的大偏差原理

Shen Gunagjun, Zhou Huan, Wu Jianglun

Comments: 28 pages ,0 figures. arXiv admin note: text overlap with arXiv:2112.08203 by other authors

Subjects: Probability (math.PR)

[18] arXiv:2306.02088 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: State Re-union Maintainability for Semi-Markov Models in Manpower Planning Show Chinese title

Title: 状态重新联合可维护性在人力规划半马尔可夫模型中的应用

Brecht Verbeken, Marie-Anne Guerry

Subjects: Probability (math.PR)

[19] arXiv:2306.02089 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: On Asymptotic Behavior of Stochastic Differential Equation Solutions in Multidimensional Space Show Chinese title

Title: 关于多维空间中随机微分方程解的渐近行为

Viktor Yuskovych

Subjects: Probability (math.PR)

[20] arXiv:2306.02158 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: A multi-dimensional version of Lamperti's relation and the Matsumoto-Yor processes Show Chinese title

Title: Lamperti关系的多维版本和Matsumoto-Yor过程

Thomas Gérard, Valentin Rapenne, Christophe Sabot, Xiaolin Zeng

Comments: Extended version of arXiv:2004.10692 with a new author Keywords: exponential functional of Brownian motion, Inverse Gaussian law, vertex reinforced jump process, Pitman 2M-B theorem, Pitman transform

Subjects: Probability (math.PR)

[21] arXiv:2306.02341 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Epidemic models with varying infectivity on a refining spatial grid. I. The SI model Show Chinese title

Title: 具有变化传染性的空间网格细化流行病模型。 I. SI 模型

Anicet Mougabe-Peurkor, Étienne Pardoux, Ténan Yeo

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

[22] arXiv:2306.02402 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Emergence of near-TAP free energy functional in the SK model at high temperature Show Chinese title

Title: SK模型在高温下接近TAP自由能泛函的出现

Véronique Gayrard

Subjects: Probability (math.PR)

[23] arXiv:2306.02474 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Dispersion on the Complete Graph Show Chinese title

Title: 完全图上的色散

Umberto De Ambroggio, Tamás Makai, Konstantinos Panagiotou

Comments: An extended abstract containing some results of this work appears in the proceedings of EUROCOMB '23

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

[24] arXiv:2306.02476 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Reinforced Galton-Watson processes I: Malthusian exponents Show Chinese title

Title: 强化高尔顿-沃森过程I：马尔萨斯指数

Jean Bertoin, Bastien Mallein

Comments: Several precisions added to the singularity analysis in Section 5 ; some additional results obtained in Section 7

Subjects: Probability (math.PR)

[25] arXiv:2306.02672 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Diffusion dynamics for an infinite system of two-type spheres and the associated depletion effect Show Chinese title

Title: 二型球无穷系统中的扩散动力学及其相关耗竭效应

Myriam Fradon, Julian Kern, Sylvie Roelly, Alexander Zass

Comments: Version accepted for publication in Stochastic Processes and their Applications. 27 pages, 6 figures

Journal-ref: Stochastic Process. Appl. 171, 104319 (2024)

Subjects: Probability (math.PR)

[26] arXiv:2306.02803 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Existence of density functions for SDEs driven by pure-jump processes Show Chinese title

Title: 纯跳跃过程驱动的SDE的概率密度函数的存在性

Takuya Nakagawa, Ryoichi Suzuki

Comments: 21 pages

Journal-ref: Modern Stochastics: Theory and Applications, 11(3), 303-321. (2024)

Subjects: Probability (math.PR)

[27] arXiv:2306.02988 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Scaling limits of planar maps under the Smith embedding Show Chinese title

Title: Smith嵌入下的平面地图的尺度极限

Federico Bertacco, Ewain Gwynne, Scott Sheffield

Comments: 53 pages, 12 figures. Accepted for publication in the Annals of Probability

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

[28] arXiv:2306.03057 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: An Aldous--Hoover Theorem for Radon Distributions Show Chinese title

Title: 一个关于Radon分布的Aldous--Hoover定理

Henry Towsner

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

[29] arXiv:2306.03064 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Directed Spatial Permutations on Asymmetric Tori Show Chinese title

Title: 定向空间置换在非对称 tori 上

Alan Hammond, Tyler Helmuth

Comments: Accepted version

Subjects: Probability (math.PR)

[30] arXiv:2306.03260 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A cyclic random motion in $\mathbb{R}^3$ driven by geometric counting processes Show Chinese title

Title: 在$\mathbb{R}^3$中由几何计数过程驱动的循环随机运动

Antonella Iuliano, Gabriella Verasani

Subjects: Probability (math.PR)

[31] arXiv:2306.03312 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Three Candidate Plurality is Stablest for Correlations at most 1/10 Show Chinese title

Title: 三个候选者多数制在相关性最多为1/10时是稳定的

Steven Heilman

Comments: 44 pages

Subjects: Probability (math.PR) ; Computational Complexity (cs.CC)

[32] arXiv:2306.03429 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: New class of Gibbs measures for two state Hard-Core model on a Cayley tree Show Chinese title

Title: 两状态硬核模型在Cayley树上的新一类Gibbs测度

R. M. Khakimov, M T. Makhammadaliev, F. H. Haydarov

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

[33] arXiv:2306.03479 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Extremal spectral behavior of weighted random $d$-regular graphs Show Chinese title

Title: 加权随机$d$-正则图的极值谱行为

Jaehun Lee, Kyeongsik Nam

Comments: 36 pages

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

[34] arXiv:2306.03512 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The mutation process on the ancestral line under selection Show Chinese title

Title: 选择作用下祖先线上的突变过程

Ellen Baake, Enrico Di Gaspero, Fernando Cordero

Comments: 31 pages, 14 figures

Journal-ref: Theor. Popul. Biol. 158 (2024), 60-75

Subjects: Probability (math.PR) ; Populations and Evolution (q-bio.PE)

[35] arXiv:2306.03539 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics Show Chinese title

Title: 伯努利工厂与种群遗传学的Wright-Fisher和Allen-Cahn模型中的对偶性

Jere Koskela, Krzysztof Łatuszyński, Dario Spanò

Comments: 11 pages, 1 figure

Subjects: Probability (math.PR) ; Populations and Evolution (q-bio.PE)

[36] arXiv:2306.03585 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Selection principle for the Fleming-Viot process with drift $-1$ Show Chinese title

Title: 漂移项Fleming-Viot过程的选择原理 $-1$

Oliver Tough

Comments: 25 pages

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

[37] arXiv:2306.03788 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Weakly self-avoiding walk in a pareto-distributed random potential Show Chinese title

Title: 在帕累托分布随机势场中的弱自避行走

Wolfgang König, Nicolas Pétrélis, Renato Soares dos Santos, Willem van Zuijlen

Comments: Changes w.r.t. v2: Added Acknowledgements, no other changes

Subjects: Probability (math.PR)

[38] arXiv:2306.03798 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions Show Chinese title

Title: 关于置换中最长单调子序列长度的渐近展开

Folkmar Bornemann

Comments: V6: updated discussion of the hard-to-soft edge limit with a thinning parameter; Julia code for large scale Monte-Carlo simulations included; 50 pages, 5 figures, 3 tables

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

[39] arXiv:2306.04278 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The permuton limit of random recursive separable permutations Show Chinese title

Title: 递归可分排列的排列图极限

Valentin Féray, Kelvin Rivera-Lopez

Comments: 37 pages, 15 figures. v2 incorporates referee's suggestions

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

[40] arXiv:2306.04294 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Stochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle Show Chinese title

Title: 随机分数守恒律：大偏差原理，中心极限定理和中偏差原理

Soumya Ranjan Behera, Ananta K. Majee

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

[41] arXiv:2306.04303 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Nonlinear SPDE driven by Levy noise: Well-posedness, optimal control and invariant measure Show Chinese title

Title: 由Levy噪声驱动的非线性SPDE：适定性、最优控制和不变测度

Kavin R, Ananta K. Majee

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

[42] arXiv:2306.04320 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Limit theorems for the trajectory of the self-repelling random walk with directed edges Show Chinese title

Title: 自相排斥有向边随机游走轨迹的极限定理

Laure Marêché, Thomas Mountford

Comments: 65 pages, no figure

Journal-ref: Electronic Journal of Probability, 29:1-60 (2024)

Subjects: Probability (math.PR)

[43] arXiv:2306.04355 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Central Limit Theorem for m-dependent random variables under sub-linear expectations Show Chinese title

Title: 在次线性期望下的m相依随机变量的中心极限定理

Wang-Yun Gu, Li-Xin Zhang

Comments: 15pages

Subjects: Probability (math.PR)

[44] arXiv:2306.04747 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator Show Chinese title

Title: 高维极限中的随机游走 II：皱褶次过程

Zakhar Kabluchko, Alexander Marynych, Kilian Raschel

Comments: 19 pages

Subjects: Probability (math.PR)

[45] arXiv:2306.04825 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Strong solutions of SDEs with singular (form-bounded) drift via Roeckner-Zhao approach Show Chinese title

Title: 通过Roeckner-Zhao方法的具有奇异（形式有界）漂移的SDE的强解

D.Kinzebulatov, K.R.Madou

Comments: Some minor corrections

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

[46] arXiv:2306.05130 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model Show Chinese title

Title: 一致偶子图及其与伊辛模型图表示相变的关系

Ulrik Thinggaard Hansen, Boris Kjær, Frederik Ravn Klausen

Journal-ref: Volume 406, article number 124, (2025) Volume 406, article number 124, (2025) Comm. Math. Phys. 406, 124, (2025)

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

[47] arXiv:2306.05139 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Probabilistic derivation and analysis of the chemical diffusion master equation with mutual annihilation Show Chinese title

Title: 概率推导与分析带有相互湮灭的化学扩散主方程

Alberto Lanconelli, Berk Tan Perçin

Comments: 21 pages

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

[48] arXiv:2306.05166 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Large $N$ limit and $1/N$ expansion of invariant observables in $O(N)$ linear $σ$-model via SPDE Show Chinese title

Title: 大$N$极限和不变可观测量在$O(N)$线性$σ$-模型中的$1/N$展开通过 SPDE

Hao Shen, Rongchan Zhu, Xiangchan Zhu

Comments: 54 pages

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

[49] arXiv:2306.05277 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Large deviations of return times and related entropy estimators on shift spaces Show Chinese title

Title: 返回时间的大型偏差及相关熵估计量在位移空间上

Noé Cuneo, Renaud Raquépas

Comments: Minor corrections, additions and clarifications. Updated references

Journal-ref: Communications in Mathematical Physics 405:article 135 (2024)

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

[50] arXiv:2306.05305 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: A Stochastic Analysis Approach to Tensor Field Theories Show Chinese title

Title: 一种随机分析方法在张量场理论中的应用

Ajay Chandra, Léonard Ferdinand

Comments: minor edit to tex formatting

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