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arXiv · 1610.07383

Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling

Cyril Labbé·Hubert Lacoin
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Abstract

We consider the biased card shuffling and the Asymmetric Simple Exclusion Process (ASEP) on the segment. We obtain the asymptotic of their mixing times: our result show that these two continuous-time Markov chains display cutoff. Our analysis combines several ingredients including: a study of the hydrodynamic profile for ASEP, the use of monotonic eigenfunctions, stochastic comparisons and concentration inequalities.

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Cyril Labbé, Hubert Lacoin. 2016-10-24. Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling. https://doi.org/10.1214/18-aop1290

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