3 papers
math.PR2026
The asymptotic behavior of rarely visited edges of the simple random walk
Ze-Chun Hu, Xue Peng, Renming Song +1
In this paper, we study the asymptotic behavior of the number of rarely visited edges (i.e., edges that visited only once) of a simple symmetric random walk on . Let $Î…
math.PR2025
Strong law of large numbers for a function of the local times of a transient random walk on groups
Yinshan Chang, Qinwei Chen, Qian Meng +1
This paper presents the strong law of large numbers for a function of the local times of a transient random walk on groups, extending the research of Asymont and Korshunov for rand…
math.PR2024
Littlewood-Offord problems for the Curie-Weiss models
Yinshan Chang, Xue Peng
In this paper, we consider the Littlewood-Offord problems in one dimension for the Curie-Weiss models. Let \[Q_n^{+}:=\sup_{x\in\mathbb{R}}\sup_{v_1,v_2,\ldots,v_n\geq 1}P(\sum_{i=…