Effect of initial conditions on mixing for the Ising Model

Wednesday, March 25, 2015 -
3:00pm to 4:00pm
Recently, the ``information percolation'' framework was introduced as a way to obtain sharp estimates on mixing for the high temperature Ising model, and in particular, to establish cutoff in three dimensions up to criticality from a worst starting state. I will describe how this method can be used to understand the effect of different initial states on the mixing time, both random (''warm start'') and deterministic. Joint work with Allan Sly.
Eyal Lubetzky
Event Location: 
Fine Hall 214