Hairer, Martin2023-08-282023-08-282023-08-282023-08-0210.1090/bull/1802https://infoscience.epfl.ch/handle/20.500.14299/200140WOS:001045888300001Over the past decade or so, a broad research programme spear-headed 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, essen-tially equivalently, the FK cluster models. In this short review, we present a small selection of recent results from this research area.MathematicsMathematicsising modelpotts modelpercolationplanar random-clusterscaling limitsconformal-invariancephase-transitionsising-modelsmagnetizationtrivialitycontinuitysymmetrybehaviortext::journal::journal article::research article