Two-dimensional random field Ising model at zero temperature

Two-dimensional random field Ising model at zero temperature - Jian Ding

Jian Ding
The Wharton School, The University of Pennsylvania
April 5, 2019
I will discuss random field Ising model on $Z^2$ where the external field is given by i.i.d. Gaussian
variables with mean zero and positive variance. I will present a recent result that at zero temperature the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary. This is based on joint work with Jiaming Xia.