Two-dimensional random field Ising model at zero temperature

Analysis Seminar
Topic:Two-dimensional random field Ising model at zero temperature
Speaker:Jian Ding
Affiliation:The Wharton School, The University of Pennsylvania
Date:Friday, April 5
Time/Room:2:00pm - 3:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/0405-JianDing

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.