English

Transient NN random walk on the line

Probability 2007-07-06 v1

Abstract

We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.

Keywords

Cite

@article{arxiv.0707.0734,
  title  = {Transient NN random walk on the line},
  author = {Endre Csáki and Antónia Földes and Pál Révész},
  journal= {arXiv preprint arXiv:0707.0734},
  year   = {2007}
}

Comments

25 pages

R2 v1 2026-06-21T08:55:21.371Z