TL;DR
This paper reviews Hugo Duminil-Copin's significant contributions to probabilistic models at critical points, highlighting his influential work recognized by the 2022 Fields medal.
Contribution
It provides a contextual overview and selection of key results from Duminil-Copin's influential research in probability theory.
Findings
Advances in understanding phase transitions in probabilistic models
Development of new mathematical techniques in statistical physics
Recognition of Duminil-Copin's work with the Fields medal
Abstract
The past decade has seen tremendous progress in our understanding of the behaviour of many probabilistic models at or near their "critical point". On the 5th of July 2022, Hugo Duminil-Copin was awarded the Fields medal for the crucial role he played in many of these developments. In this short review article, we will try to put his work into context and present a small selection of his results.
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