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arXiv:2003.03781 [math.PR]AbstractReferencesReviewsResources

Mixing times for the simple exclusion process with open boundaries

Nina Gantert, Evita Nestoridi, Dominik Schmid

Published 2020-03-08Version 1

We study mixing times of the symmetric and asymmetric simple exclusion process on the segment where particles are allowed to enter and exit at the endpoints. We consider different regimes depending on the entering and exiting rates as well as on the rates in the bulk, and show that the process exhibits pre-cutoff and in some special cases even cutoff.

Comments: 40 pages, 9 figures
Categories: math.PR, math-ph, math.MP
Subjects: 60K35, 60J27, 82C22
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