Special Session 110: Stochastic Dynamics

Transience time of the subcritical facilitated exclusion process
Seonwoo Kim
Yonsei University
Korea
Co-Author(s):    Oriane Blondel, Clement Erignoux, Sanha Lee
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^3N. Based on a joint work with Oriane Blondel, Clement Erignoux and Sanha Lee.