Sensitivity of mixing times

Jian Ding; Yuval Peres

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arXiv · 1304.0244

Sensitivity of mixing times

Jian Ding·Yuval Peres

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Abstract

In this note, we demonstrate an instance of bounded-degree graphs of size $n$, for which the total variation mixing time for the random walk is decreased by a factor of $\log n/ \log\log n$ if we multiply the edge-conductances by bounded factors in a certain way.

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Jian Ding, Yuval Peres. 2013-03-31. Sensitivity of mixing times. https://arxiv.org/abs/1304.0244

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