Probability Seminar: Cutoff for the Ising model and the effect of initial conditions

Probability Seminar: Cutoff for the Ising model and the effect of initial conditions

Probability Seminar
Apr 2, 2014, 03:00 PM - 04:00 PM | 332 Evans Hall | Happening As Scheduled
Allan Sly, UC Berkeley
We establish the cutoff phenomena for the Glauber dynamics of the Ising model on general graphs at high enough temperatures using a new tool of information percolation. We then consider the finer property of what is the effect of initial conditions showing that some initial conditions lead to faster mixing times than others.