Conformal Measure Ensembles and Planar Ising Magnetization: A Review

F. Camia, Jianping Jiang, C.M. Newman

2021, v.27, Issue 4, 631-664


We provide a review of results on the critical and near-critical scaling limit of the
planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.
%This review is
%based on a talk delivered by the first author at the Inhomogeneous Random Systems conference held at the Institut Curie (Paris) on January 28-29, 2020.

Keywords: FK-Ising model, magnetization field, Conformal Measure Ensemble


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