A phase transition for the two-dimensional random field Ising/FK-Ising model

Chenxu Hao, Fenglin Huang, Aoteng Xia

We study the total variation (TV) distance between the laws of the 2D Ising/FK-Ising model in a box of side-length $N$ with and without an i.i.d.\ Gaussian external field with vari…