2 papers
math.PR2026
Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model
Fenglin Huang, Léonie Papon, Aoteng Xia
We prove that the interface separating and spins in the near-critical planar random field Ising model (RFIM) with Dobrushin boundary conditions has a scaling limit, whose…
math.PR2025
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 with and without an i.i.d.\ Gaussian external field with vari…