Total variation cutoff in a tree
Probability
2013-07-11 v1
Abstract
We construct a family of trees on which a lazy simple random walk exhibits total variation cutoff. The main idea behind the construction is that hitting times of large sets should be concentrated around their means. For this sequence of trees we compute the mixing time, the relaxation time and the cutoff window.
Keywords
Cite
@article{arxiv.1307.2887,
title = {Total variation cutoff in a tree},
author = {Yuval Peres and Perla Sousi},
journal= {arXiv preprint arXiv:1307.2887},
year = {2013}
}