Favorite sites of one-dimensional asymmetric simple random walk
Probability
2025-11-05 v1
Abstract
In this paper, we study favorite sites of one-dimensional asymmetric simple random walks. We show that almost surely, for any fixed integer , `` favorite sites" occurs infinitely often. We also give the asymptotic growth rate of the number of favorite sites.
Keywords
Cite
@article{arxiv.2511.02316,
title = {Favorite sites of one-dimensional asymmetric simple random walk},
author = {Guangshuo Zhou and Zechun Hu and Renming Song},
journal= {arXiv preprint arXiv:2511.02316},
year = {2025}
}
Comments
15 pages