arXiv math.PR Probability

Dominik Schmid, Zongrui Yang: Sharp approximations for the stationary measures of the open ASEP I: The shock region https://arxiv.org/abs/2610.37639 https://arxiv.org/pdf/2610.37639 https://arxiv.org/html/2610.37639

Dominik Schmid, Zongrui Yang: Sharp approximations for the stationary measures of the open ASEP II: The coexistence line https://arxiv.org/abs/2610.37636 https://arxiv.org/pdf/2610.37636 https://arxiv.org/html/2610.37636

Qiang Wu: Approximate Counting for Mixed $p$-Spin Glasses in Weak External Fields via Cluster Expansion https://arxiv.org/abs/2610.37630 https://arxiv.org/pdf/2610.37630 https://arxiv.org/html/2610.37630

Amir Dembo, Matthew Junge: Shape exclusion for diffusion-limited aggregation https://arxiv.org/abs/2610.37625 https://arxiv.org/pdf/2610.37625 https://arxiv.org/html/2610.37625

Dominik Schmid, Zongrui Yang: Sharp approximations for the stationary measures of the open ASEP III: The fan region https://arxiv.org/abs/2610.37620 https://arxiv.org/pdf/2610.37620 https://arxiv.org/html/2610.37620

Dominik Schmid, Zongrui Yang: Stationary measures of the open KPZ equation: A short proof https://arxiv.org/abs/2610.37618 https://arxiv.org/pdf/2610.37618 https://arxiv.org/html/2610.37618

Jiaoyang Huang, Ruizhe Xu: Local Law and Eigenvector Delocalization for Random Lifts https://arxiv.org/abs/2610.37463 https://arxiv.org/pdf/2610.37463 https://arxiv.org/html/2610.37463

Andr\'es S\'anchez, Leon A. Valencia, Jorge M. Ramirez Osorio: Stationary Coexistence in Stochastic Gause Systems with General Trophic Responses https://arxiv.org/abs/2610.37372 https://arxiv.org/pdf/2610.37372 https://arxiv.org/html/2610.37372

Bal\'azs R\'ath, M\'arton Sz\H{o}ke, Dominic Yeo: The window process of slightly subcritical frozen percolation https://arxiv.org/abs/2610.37320 https://arxiv.org/pdf/2610.37320 https://arxiv.org/html/2610.37320

Yu Cheng, Song-Hao Liu, Qi-Man Shao, Jing-Yu Xu: Three quantitative central limit theorems for the unbounded excursion component of a Gaussian field https://arxiv.org/abs/2610.37240 https://arxiv.org/pdf/2610.37240 https://arxiv.org/html/2610.37240

Shirshendu Chatterjee, Partha S. Dey: Scaling limit and universality for one-dimensional long-range first-passage metric in the linear-growth regime https://arxiv.org/abs/2610.37180 https://arxiv.org/pdf/2610.37180 https://arxiv.org/html/2610.37180

Partha S. Dey: Persistent Hubs and Sharp Asymptotics in Eigenvector Preferential Attachment Trees https://arxiv.org/abs/2610.37156 https://arxiv.org/pdf/2610.37156 https://arxiv.org/html/2610.37156

Said Hamad\`ene (LMM), Hongyu Shi, Zhen Wu: Multidimensional Infinite-Horizon Markovian Backward Stochastic Differential Equations with Continuous Coefficients and Nonzero-Sum Differential Games https://arxiv.org/abs/2610.37141 https://arxiv.org/pdf/2610.37141 https://arxiv.org/html/2610.37141

Bruno Schapira: High-dimensional critical percolation and critical Branching random walks are intersection equivalent https://arxiv.org/abs/2610.37133 https://arxiv.org/pdf/2610.37133 https://arxiv.org/html/2610.37133

Leonardo Maini: Spectral delocalization and central limit theorems for Fourier functionals of stationary Gaussian fields https://arxiv.org/abs/2610.37113 https://arxiv.org/pdf/2610.37113 https://arxiv.org/html/2610.37113

Yuting Su, Meng Guan, Zhenfeng Zou, Taizhong Hu: Separation Theorems for Increasing Convex and Weak 3-Convex Orders on Real-Valued Random Variables https://arxiv.org/abs/2610.37025 https://arxiv.org/pdf/2610.37025 https://arxiv.org/html/2610.37025

Yuxuan Chen, Armen Shirikyan, Shengquan Xiang: Large deviations from a stable steady state for damped dispersive PDEs with vanishing random kicks https://arxiv.org/abs/2610.36815 https://arxiv.org/pdf/2610.36815 https://arxiv.org/html/2610.36815

Ze-Chun Hu, Renming Song, Li Wang: Laws of the iterated logarithm for the range of once-reinforced random walk on $\mathbb{Z}$ https://arxiv.org/abs/2610.36790 https://arxiv.org/pdf/2610.36790 https://arxiv.org/html/2610.36790

Lars Lau Raket: Brownian covariances on an interval: a complete endpoint classification https://arxiv.org/abs/2610.36762 https://arxiv.org/pdf/2610.36762 https://arxiv.org/html/2610.36762

Xiaofeng Xue: CLT for quadratic additive functionals of three-dimensional and four-dimensional voter models https://arxiv.org/abs/2610.36594 https://arxiv.org/pdf/2610.36594 https://arxiv.org/html/2610.36594

Jos\'{e} Da Fonseca, Yajun Shi, Wenjun Zhang: Risk measures for infinite-server queues driven by a Cox-BESQ process https://arxiv.org/abs/2610.36473 https://arxiv.org/pdf/2610.36473 https://arxiv.org/html/2610.36473

Nino Nagata, Ryoichi Suzuki: Dirichlet-Constrained Random Operators and Quenched Reflection Quantum Walks: Tree Spectra and Poisson Criticality at High Degree https://arxiv.org/abs/2610.36326 https://arxiv.org/pdf/2610.36326 https://arxiv.org/html/2610.36326

Nino Nagata, Ryoichi Suzuki: Growing-time trace fluctuations and self-averaging form factors of Grover walks on random lifts https://arxiv.org/abs/2610.36320 https://arxiv.org/pdf/2610.36320 https://arxiv.org/html/2610.36320

Stefan Geiss: A note on the Besov spaces ${\rm B}_1^{\Phi_2}$ https://arxiv.org/abs/2610.36152 https://arxiv.org/pdf/2610.36152 https://arxiv.org/html/2610.36152

Sarah Geiss, Benjamin Gess: Non-local to local limit for stochastic conservation laws https://arxiv.org/abs/2610.36099 https://arxiv.org/pdf/2610.36099 https://arxiv.org/html/2610.36099

James D. Stein: Using the Blackwell-Cover Guessing Strategy to Separate Unobserved Bernoulli Trials - II https://arxiv.org/abs/2610.36016 https://arxiv.org/pdf/2610.36016 https://arxiv.org/html/2610.36016

Ziyue Cai, Weiye Gan, Borui Miao, Zuoqiang Shi: Accelerating Langevin Dynamics with Weighted Laplacian Flow: Global Well-Posedness and Exponential Convergence https://arxiv.org/abs/2610.35892 https://arxiv.org/pdf/2610.35892 https://arxiv.org/html/2610.35892

[2026-10-28 Wed (UTC), 27 new articles found for mathPR Probability]

Hyung-Gil Kwak: Operator limits of random matrices: Edge universality and sharp approximations https://arxiv.org/abs/2610.35808 https://arxiv.org/pdf/2610.35808 https://arxiv.org/html/2610.35808

Nawaf Bou-Rabee: Persistence Pays: Square-root condition-number dependence for Metropolis-adjusted kinetic Langevin Monte Carlo with a non-reversibly updated accept/reject uniform https://arxiv.org/abs/2610.35781 https://arxiv.org/pdf/2610.35781 https://arxiv.org/html/2610.35781

Olga Izyumtseva, Wasiur R. KhudaBukhsh: Self-intersection local times of Volterra Gaussian bridges with large end-to-end distance https://arxiv.org/abs/2610.35769 https://arxiv.org/pdf/2610.35769 https://arxiv.org/html/2610.35769

Hao Wu, Wei Xu: Large Excursions of Reflected L\'evy Processes: Local Asymptotics https://arxiv.org/abs/2610.35750 https://arxiv.org/pdf/2610.35750 https://arxiv.org/html/2610.35750

Adam Jakubowski: The Riesz representation in submetric spaces and its probabilistic aspects https://arxiv.org/abs/2610.35661 https://arxiv.org/pdf/2610.35661 https://arxiv.org/html/2610.35661

Jos\'e A. Islas: Extending the V-sequence reduction to arbitrary independent distributions https://arxiv.org/abs/2610.35600 https://arxiv.org/pdf/2610.35600 https://arxiv.org/html/2610.35600

Jonathan Hermon, Xiangying Huang, Justin Salez: Cutoff for random walks on nilpotent groups https://arxiv.org/abs/2610.35561 https://arxiv.org/pdf/2610.35561 https://arxiv.org/html/2610.35561

Amine Asselah, Bruno Schapira: On the number of pioneers in high-dimensional critical percolation https://arxiv.org/abs/2610.35553 https://arxiv.org/pdf/2610.35553 https://arxiv.org/html/2610.35553

Zhijun Cai, YUjie Qin, Zhuosong Zhang: Berry--Esseen bounds for stochastic approximation with Markovian noise https://arxiv.org/abs/2610.35538 https://arxiv.org/pdf/2610.35538 https://arxiv.org/html/2610.35538

Jiaquan Lu, Huaizhong Zhao: Periodic measures for time-inhomogeneous stochastic differential equations driven by multiplicative $\alpha$-stable processes: Existence, uniqueness and numerical ... https://arxiv.org/abs/2610.35519 https://arxiv.org/pdf/2610.35519 https://arxiv.org/html/2610.35519

I. M. Kuzin, A. A. Zamyatin: Distribution of the First Hitting Point on a Boundary Set for a Random Walk in a Lattice Strip https://arxiv.org/abs/2610.35406 https://arxiv.org/pdf/2610.35406 https://arxiv.org/html/2610.35406

Qi Feng, Nathan Sauldubois, Xin Zhang: Initialization Stability and Convergence of Projected Langevin Dynamics https://arxiv.org/abs/2610.35369 https://arxiv.org/pdf/2610.35369 https://arxiv.org/html/2610.35369

Xiao Fang, Zi-Yao Su, Jiaxue Wang, Xiaolin Wang: Sharp Fourth-Moment Wasserstein CLT Bounds https://arxiv.org/abs/2610.35354 https://arxiv.org/pdf/2610.35354 https://arxiv.org/html/2610.35354

Karl Friedrich Siburg: The monotone part of Chatterjee's rank correlation https://arxiv.org/abs/2610.35340 https://arxiv.org/pdf/2610.35340 https://arxiv.org/html/2610.35340

Karl Friedrich Siburg: Comparing and measuring intermediate tail dependence https://arxiv.org/abs/2610.35325 https://arxiv.org/pdf/2610.35325 https://arxiv.org/html/2610.35325

Jack Piazza, Hao Shen: Log-Sobolev inequality for 2D $\mathrm{SU}(N)$ lattice gauge theory at all couplings https://arxiv.org/abs/2610.35286 https://arxiv.org/pdf/2610.35286 https://arxiv.org/html/2610.35286

Omer Angel, Daniel de la Riva, Christoforos Panagiotis, Yuliang Shi: Continuity of the phase transition for long-range Bernoulli percolation with exponential decay on $\mathbb{Z}^{2}$ https://arxiv.org/abs/2610.35233 https://arxiv.org/pdf/2610.35233 https://arxiv.org/html/2610.35233

Narayana Darapaneni: Zero temperature versus long time for diffusions driven by metric projections onto convex sets https://arxiv.org/abs/2610.35145 https://arxiv.org/pdf/2610.35145 https://arxiv.org/html/2610.35145

Guillaume Ballif, Christine Fricker: Stochastic analysis of an emergency department with two levels sharing the servers https://arxiv.org/abs/2610.35061 https://arxiv.org/pdf/2610.35061 https://arxiv.org/html/2610.35061

Hideki Murahara, Go Tokumitsu: Optimal Rates in Local and Central Limit Theorems for the Elephant Random Walk https://arxiv.org/abs/2610.35019 https://arxiv.org/pdf/2610.35019 https://arxiv.org/html/2610.35019

Guangqian Zhao: Gaussian Exterior Dilation and Schatten Classes of L\'evy Area https://arxiv.org/abs/2610.34984 https://arxiv.org/pdf/2610.34984 https://arxiv.org/html/2610.34984

Christian Furrer, Philipp C. Hornung: Existence and uniqueness for non-linear forward equations: Addendum to "Mean-field approximations in insurance" (Hornung, 2026) https://arxiv.org/abs/2610.34980 https://arxiv.org/pdf/2610.34980 https://arxiv.org/html/2610.34980