A stroll around the critical Potts model

Hairer, Martin

doi:10.1090/bull/1802

A stroll around the critical Potts model
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by Martin Hairer

Bull. Amer. Math. Soc. 61 (2024), 55-71

DOI: https://doi.org/10.1090/bull/1802

Published electronically: August 2, 2023

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Abstract:

Over the past decade or so, a broad research programme spearheaded by H. Duminil-Copin and his collaborators has vastly increased our understanding of a number of critical or near-critical statistical mechanics models. Most prominently, these include the $q$-state Potts models and, essentially equivalently, the FK cluster models. In this short review, we present a small selection of recent results from this research area.

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