English

No more than three favourite sites for simple random walk

Probability 2007-05-23 v1

Abstract

We prove that, with probability one, eventually there are no more than three favourite (i.e. most visited) sites of simple random walk. This partially answers a relatively long standing question of Pal Erdos and Pal Revesz.

Cite

@article{arxiv.math/0004164,
  title  = {No more than three favourite sites for simple random walk},
  author = {Balint Toth},
  journal= {arXiv preprint arXiv:math/0004164},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T16:32:24.587Z