Comparison of cutoffs between lazy walks and Markovian semigroups
Probability
2013-04-18 v1
Abstract
We make a connection between the continuous time and lazy discrete time Markov chains through the comparison of cutoffs and mixing time in total variation distance. For illustration, we consider finite birth and death chains and provide a criterion on cutoffs using eigenvalues of the transition matrix.
Keywords
Cite
@article{arxiv.1304.4587,
title = {Comparison of cutoffs between lazy walks and Markovian semigroups},
author = {Guan-Yu Chen and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:1304.4587},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1304.4346