2 papers
math.PR2026
The Exact Limsup Constant for Once-Visited Sites of One-Dimensional Simple Random Walk
Chenxu Feng, Chenxu Hao
For a one-dimensional simple random walk, let denote the number of sites visited exactly once at time . Major (1988) proved that \begin{equation*} \limsup_{n\to\infty}\…
math.PR2025
Exact Limsup Growth of Rarely Visited Sites for One-Dimensional Simple Random Walk
Chenxu Feng, Chenxu Hao
We investigate the minimal local time of a one-dimensional simple random walk up to time , defined as the smallest number of visits to any site in the range. A conjecture…