SEMINARIO di Probabilita' a Roma Tre

Federico Camia (New York University, Abu Dhabi)

Titolo: Scaling Limits for the Planar Ising Model

Martedi' 13 Marzo 2018 ORE 15:30

Dipartimento di Matematica e Fisica Universita' degli Studi Roma Tre Largo San Leonardo Murialdo,1 - Pal.C - Aula 311

Abstract The continuum scaling limit is a procedure to study the large-scale behavior of lattice models of statistical mechanics. In the scaling limit, the lattice spacing is sent to zero while focus is kept on some macroscopic object or collection of objects within the model. In the last twenty years there has been tremendous progress in the study of the continuum scaling limits of some classical models, such as two-dimensional percolation and the planar Ising model, which are of interest because they undergo a phase transition. At or near the phase transition point the scaling limit is supposed to give rise to a Euclidean field theory. In this talk I will briefly introduce the planar Ising model and then describe some recent results concerning the scaling limit of the Ising magnetization and the truncated two-point function. The talk is based on joint work with Christoph Garban and Chuck Newman, Rene Conijn and Demeter Kiss, and Jianping Jiang and Chuck Newman.