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.