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Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling (1610.07383v2)
Published 24 Oct 2016 in math.PR
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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