Sharp threshold phenomena in statistical physics
Hugo Duminil-Copin
TL;DR
This paper discusses the theory of sharp thresholds for boolean functions and their application to understanding phase transitions in statistical physics, based on lectures given in 2017.
Contribution
It provides an overview of sharp threshold phenomena and connects them to phase transitions, offering insights into their mathematical underpinnings.
Findings
Sharp thresholds characterize abrupt changes in boolean functions.
Application of threshold theory to phase transition analysis.
Enhanced understanding of phase transition mechanisms.
Abstract
This text describes the content of the Takagi lectures given by the author in Kyoto in 2017. The lectures present some aspects of the theory of sharp thresholds for boolean functions and its application to the study of phase transitions in statistical physics.
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