A stroll around the critical Potts model

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 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.