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Sharp threshold phenomena in statistical physics

  • Special Feature: The Takagi Lectures
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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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Authors and Affiliations

  1. Institut des Hautes Études Scientifiques, Le Bois-Marie 35, route de Chartres, 91440, Bures-sur-Yvette, France

    Hugo Duminil-Copin

  2. Section de Mathématiques, Université de Genève, 2-4 rue du lièvre, 1211, Genève 4, Switzerland

    Hugo Duminil-Copin

Authors
  1. Hugo Duminil-Copin
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Correspondence to Hugo Duminil-Copin.

Additional information

This article is based on the 19th Takagi Lectures that the author delivered at Research Institute for Mathematical Science, Kyoto University on July 8 and 9, 2017.

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Duminil-Copin, H. Sharp threshold phenomena in statistical physics. Jpn. J. Math. 14, 1–25 (2019). https://doi.org/10.1007/s11537-018-1726-x

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  • DOI: https://doi.org/10.1007/s11537-018-1726-x

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