Total variation cutoff in a tree

Yuval Peres; Perla Sousi

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arXiv · 1307.2887

Total variation cutoff in a tree

Yuval Peres·Perla Sousi

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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.

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Yuval Peres, Perla Sousi. 2013-07-10. Total variation cutoff in a tree. https://arxiv.org/abs/1307.2887

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