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Mixing Times for the Simple Exclusion Process with Open Boundaries

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021

September 20, 2021 (02:10 PM PDT - 03:00 PM PDT)
Speaker(s): Evita Nestoridi (Princeton University)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
In the simple exclusion process on a finite segment, a particle is allowed to move to the right at rate $p$ and to the left at rate $q$, provided that the selected site is empty. In joint work with Nina Gantert and Domink Schmid, 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 $p,q$ as well as on the entering and exiting rates, and show that the process exhibits pre-cutoff and in some special cases even cutoff.