Probability

Authors and titles for June 2023

[276] arXiv:2306.12918 (cross-list from math.CO) [cn-pdf, pdf, other]

Title: A telescopic proof of Cayley's formula Show Chinese title

Title: 一个望远镜证明的Cayley公式

Guillaume Chapuy, Guillem Perarnau

Comments: 2 pages

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

[277] arXiv:2306.12997 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: On the log-Sobolev constant of log-concave measures Show Chinese title

Title: 关于对数凹测度的对数-Sobolev常数

Pierre Bizeul

Comments: Minor corrections and simplifications, and a new example showing tightness of Proposition 41

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

[278] arXiv:2306.13226 (cross-list from nlin.CG) [cn-pdf, pdf, html, other]

Title: Probabilistic cellular automata with Andrei Toom Show Chinese title

Title: 具有安德烈·图姆的概率细胞自动机

Peter Gacs

Comments: 17 pages, 1 figure

Subjects: Cellular Automata and Lattice Gases (nlin.CG) ; Probability (math.PR)

[279] arXiv:2306.13231 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Optimal control of third grade fluids with multiplicative noise Show Chinese title

Title: 三阶流体的最优控制与乘性噪声

Yassine Tahraoui, Fernanda Cipriano

Comments: 36 pages,submitted

Subjects: Optimization and Control (math.OC) ; Analysis of PDEs (math.AP) ; Probability (math.PR)

[280] arXiv:2306.13633 (cross-list from q-bio.PE) [cn-pdf, pdf, html, other]

Title: Optimal Vaccination Policy to Prevent Endemicity: A Stochastic Model Show Chinese title

Title: 预防流行性的最优疫苗接种政策：一个随机模型

Félix Foutel-Rodier, Arthur Charpentier, Hélène Guérin

Comments: 51 pages, 7 figures

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

[281] arXiv:2306.13665 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Two-Person Stochastic Duel with Energy Fuel Constraint Ammo Show Chinese title

Title: 两人随机决斗中的能量燃料约束弹药

Song-Kyoo Kim

Comments: Song-Kyoo Kim, Two-Person Stochastic Duel with Energy Fuel Constraint Ammo, Mathematics 11:7 (2023), 3625

Journal-ref: Mathematics 11:7 (2023), 3625

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

[282] arXiv:2306.13784 (cross-list from stat.ML) [cn-pdf, pdf, other]

Title: A new approach to generalisation error of machine learning algorithms: Estimates and convergence Show Chinese title

Title: 机器学习算法泛化误差的新方法：估计与收敛

Michail Loulakis, Charalambos G. Makridakis

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

[283] arXiv:2306.13823 (cross-list from math.HO) [cn-pdf, pdf, other]

Title: Threshold phenomena for random discrete structures Show Chinese title

Title: 随机离散结构的阈值现象

Jinyoung Park

Comments: Section 5 is expanded in v2. 10 pages, many figures, to appear in Notices of the AMS

Subjects: History and Overview (math.HO) ; Mathematical Physics (math-ph) ; Combinatorics (math.CO) ; Probability (math.PR)

[284] arXiv:2306.13958 (cross-list from cs.DS) [cn-pdf, pdf, other]

Title: On Scalable Testing of Samplers Show Chinese title

Title: 可扩展采样器测试

Yash Pote, Kuldeep S. Meel

Comments: Appeared at NeurIPS 2022

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

[285] arXiv:2306.13998 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Numerical approximation of the invariant distribution for a class of stochastic damped wave equations Show Chinese title

Title: 随机阻尼波动方程一类的不变分布的数值逼近

Ziyi Lei, Charles-Edouard Bréhier, Siqing Gan

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

[286] arXiv:2306.14073 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: Hitting a prime by rolling a die with infinitely many faces Show Chinese title

Title: 通过掷一个无限面的骰子击中素数

Shane Chern

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

[287] arXiv:2306.14166 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Random normal matrices: eigenvalue correlations near a hard wall Show Chinese title

Title: 随机正规矩阵：在硬墙附近的特征值相关性

Yacin Ameur, Christophe Charlier, Joakim Cronvall

Comments: 46 pages, 5 figures. Our results are summarized in Figure 2

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

[288] arXiv:2306.14307 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Homogenization of diffusion processes with singular drifts and potentials via unfolding method Show Chinese title

Title: 通过展开方法对具有奇异漂移和势的扩散过程进行均质化

Toshihiro Uemura, Adisak Seesanea

Comments: 24 pages

Journal-ref: Journal of Mathematical Analysis and Applications, Volume 556, Issue 1, Part 2, 1 April 2026, 130105

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

[289] arXiv:2306.14317 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Topological expansion for posets and the homological $k$-connectivity of random $q$-complexes Show Chinese title

Title: 拓扑展开对于偏序集以及随机$q$-复形的同调$k$-连通性

Ran Tessler, Elad Tzalik

Comments: 27 pages, comments are welcome!

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

[290] arXiv:2306.14358 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]

Title: Dynamic Space Packing Show Chinese title

Title: 动态空间填充

Rahul Dandekar, P. L. Krapivsky

Comments: 24 pages, 8 figures; v3: small corrections, Appendix B and refs added

Journal-ref: J. Stat. Mech. 103403 (2023)

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

[291] arXiv:2306.14506 (cross-list from q-fin.RM) [cn-pdf, pdf, other]

Title: An elementary proof of the dual representation of Expected Shortfall Show Chinese title

Title: 一种预期短缺的对偶表示的初等证明

Martin Herdegen, Cosimo Munari

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

[292] arXiv:2306.14625 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: On the relation between quantum walks and absolute zeta functions Show Chinese title

Title: 量子漫步与绝对zeta函数之间的关系

Norio Konno

Comments: 11 pages, minor corrections. arXiv admin note: text overlap with arXiv:2204.00765

Journal-ref: Quantum Studies: Mathematics and Foundations, Volume 11, pp.147-157 (2024)

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph) ; Combinatorics (math.CO) ; Number Theory (math.NT) ; Probability (math.PR)

[293] arXiv:2306.14703 (cross-list from cs.IT) [cn-pdf, pdf, other]

Title: Repetition and recurrence times: Dual statements and summable mixing rates Show Chinese title

Title: 重复和递归时间：双重陈述和可求和混合率

Łukasz Dębowski

Comments: 19 pages

Journal-ref: Electronic Communications in Probability, vol. 30, pp. 67, 2025

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

[294] arXiv:2306.14819 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion Show Chinese title

Title: 哈密顿系统扩散时间周期测度的杯长估计

Oliver Fabert

Comments: small changes, typos removed, slightly extended

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

[295] arXiv:2306.14825 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]

Title: Mesoscale mode coupling theory for the weakly asymmetric simple exclusion process Show Chinese title

Title: 中尺度模式耦合理论用于弱对称简单排除过程

G.M. Schütz

Comments: 29 pages, 1 figure

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

[296] arXiv:2306.14975 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: The Underlying Scaling Laws and Universal Statistical Structure of Complex Datasets Show Chinese title

Title: 复杂数据集的潜在缩放定律和普遍统计结构

Noam Levi, Yaron Oz

Comments: 21 pages, 9 figures

Subjects: Machine Learning (cs.LG) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; High Energy Physics - Theory (hep-th) ; Probability (math.PR) ; Machine Learning (stat.ML)

[297] arXiv:2306.15057 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Estimates of constants in the limit theorems for chaotic dynamical systems Show Chinese title

Title: 混沌动力系统极限定理中常数的估计

Leonid A. Bunimovich, Yaofeng Su

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

[298] arXiv:2306.15269 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Confined extensions and non-standard dynamical filtrations Show Chinese title

Title: 受限扩展和非标准动力滤过

Séverin Benzoni (LMRS)

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

[299] arXiv:2306.15586 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: The random Arnold Conjecture: a new probabilistic Conley-Zehnder Theory for symplectic maps Show Chinese title

Title: 随机阿诺德猜想：辛映射的新概率Conley-Zehnder理论

Álvaro Pelayo, Fraydoun Rezakhanlou

Comments: 54 pages. Some partial results have been strengthened, overall presentation improved, several examples and connections with other subjects have been added and made explicit, further motivations included

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

[300] arXiv:2306.15810 (cross-list from cs.IT) [cn-pdf, pdf, other]

Title: On Graph Uncertainty Principle and Eigenvector Delocalization Show Chinese title

Title: 关于图不确定性原理和特征向量去局域化

Elizaveta Rebrova, Palina Salanevich

Subjects: Information Theory (cs.IT) ; Optimization and Control (math.OC) ; Probability (math.PR)