Mixing of the mean-field, directed Potts model

Seminar | April 19 | 3:10-4 p.m. | 1011 Evans Hall

 Insuk Seo, Morrey Visiting Assistant Professor, U.C. Berkeley Mathematics

 Department of Statistics

We consider the mean-field Potts model with totally asymmetric dynamics. For the model with three spins, we observe three critical temperatures and four qualitatively different mixing behaviors of the dynamics. Three of them are metastable behavior, and one of them is the cutoff phenomenon. We discuss these interesting phenomena in this presentation.