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arXiv · 1207.1024

Cover times and generic chaining

Joseph Lehec
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Abstract

A recent result of Ding, Lee and Peres expresses the cover time of the random walk on a graph in terms of generic chaining for the commute distance. Their proof is very involved and the purpose of this article is to present a simpler approach to this problem based on elementary hitting times estimates and chaining arguments. Unfortunately we fail to recover their full result, but not by much.

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Joseph Lehec. 2012-07-10. Cover times and generic chaining. https://arxiv.org/abs/1207.1024

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