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arXiv · 2008.12158

The two-dimensional continuum random field Ising model

Adam Bowditch·Rongfeng Sun
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Abstract

In this paper we construct the two-dimensional continuum random field Ising model via scaling limits of a random field perturbation of the critical two-dimensional Ising model with diminishing disorder strength. Furthermore, we show that almost surely with respect to the continuum random field given by a white noise, the law of the magnetisation field is singular with respect to that of the two-dimensional continuum pure Ising model constructed by Camia, Garban and Newman.

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Adam Bowditch, Rongfeng Sun. 2020-08-27. The two-dimensional continuum random field Ising model. https://arxiv.org/abs/2008.12158

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