Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
Probability
2019-05-09 v2
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.
Keywords
Cite
@article{arxiv.1610.07383,
title = {Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling},
author = {Cyril Labbé and Hubert Lacoin},
journal= {arXiv preprint arXiv:1610.07383},
year = {2019}
}
Comments
50 pages