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arXiv · 2304.05878

Relaxation times are stationary hitting times of large sets

Jonathan Hermon
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Abstract

We give a characterization of the relaxation time up to an absolute constant factor, in terms of stationary expected hitting times of large sets. This resolves a conjecture of Aldous and Fill. We give a similar characterization for the spectral profile. We also provide in the non-reversible setup a related characterization for stationary expected hitting times of large sets.

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Jonathan Hermon. 2023-04-12. Relaxation times are stationary hitting times of large sets. https://arxiv.org/abs/2304.05878

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