– Europe/Lisbon
Room P3.10, Mathematics Building
— Online
Seonwoo Kim, Department of Mathematics, Yonsei University
Transience time of the subcritical facilitated exclusion process
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.