Critical point for some planar statistical models

Critical point for some planar statistical models

Mon, 28/05/2012
15:45 		HUGO DUMINIL (Unversity of Geneva) Stochastic Analysis Seminar Add to calendar Oxford-Man Institute
Critical point for some planar statistical models
<> abstract:In this talk, we describe how to compute the critical point for various lattice models of planar statistical physics. We will first introduce the percolation, Ising, Potts and random-cluster models on the square lattice. Then, we will discuss how critical points of these different models are related. In a final part, we will compute the critical point of these models. This last part harnesses two main ingredients that we will describe in details: duality and sharp threshold theorems. No background is necessary.