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FIELD
Math:Analysis
DATE
Dec 18 (Thu), 2025
TIME
14:50 ~ 15:30
PLACE
1423
SPEAKER
Kim, Seonwoo
HOST
Choi, Jae-Hwan
INSTITUTE
Yonsei University
TITLE
[GS_M_APP] Transience time of the subcritical facilitated exclusion process
ABSTRACT
In this talk, we consider the facilitated exclusion process on the one-dimensional discrete N-torus. Because of the facilitating mechanism, the process freezes in finite time if the particle density of the initial configuration is subcritical, i.e., if it is smaller than (or equal to) 1/2. We prove that, starting from any subcritical Bernoulli product measure, the correct scale of the transience/freezing time is of order $\log^3 N$. Based on a joint work with Oriane Blondel, Clément Erignoux and Sanha Lee.
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