Year: 2013
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Peres, Yuval, Sousi, Perla
Institutions: Microsoft (United States), University of Cambridge
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4300100435