Comparison of cutoffs between lazy walks and Markovian semigroups

Guan-Yu Chen; Laurent Saloff-Coste

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arXiv · 1304.4587

Comparison of cutoffs between lazy walks and Markovian semigroups

Guan-Yu Chen·Laurent Saloff-Coste

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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.

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Guan-Yu Chen, Laurent Saloff-Coste. 2013-04-16. Comparison of cutoffs between lazy walks and Markovian semigroups. https://arxiv.org/abs/1304.4587

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