English

Slow movement of random walk in random environment on a regular tree

Probability 2007-05-23 v1

Abstract

We consider a recurrent random walk in random environment on a regular tree. Under suitable general assumptions upon the distribution of the environment, we show that the walk exhibits an unusual slow movement: the order of magnitude of the walk in the first nn steps is (logn)3(\log n)^3.

Keywords

Cite

@article{arxiv.math/0608036,
  title  = {Slow movement of random walk in random environment on a regular tree},
  author = {Yueyun Hu and Zhan Shi},
  journal= {arXiv preprint arXiv:math/0608036},
  year   = {2007}
}
R2 v1 2026-07-22T17:40:00.971Z