IMPA-Bath Workshop in Mathematics - Hubert Lacoin (IMPA)
IMPA-Bath Workshop in Mathematics
IMPA, Rio de Janeiro, January 23 - 27, 2017
Promoting collaboration in Probability and Applied Mathematics
Cutoff phenomenon for the asymmetric simple
exclusion process and the biased card shuffling - Hubert Lacoin
We consider the biased card shuffling and the Asymmetric Simple
Exclusion Process (ASEP) on the segment. We obtain the asymptotic
of their mixing times, thus showing that these two continuoustime
Markov chains display cutoff. Our analysis combines several
ingredients including: a study of the hydrodynamic profile for ASEP,
the use of monotonic eigenfunction, stochastic comparisons and concentration
inequalities.
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