Relaxation times are stationary hitting times of large sets
Autor: | Hermon, Jonathan |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 27 pages |
Databáze: | arXiv |
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