Sharp threshold phenomena in statistical physics

IF 1.8 3区数学 Q1 MATHEMATICS

Japanese Journal of Mathematics Pub Date : 2019-01-28 DOI:10.1007/s11537-018-1726-x

Hugo Duminil-Copin

引用次数: 1

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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统计物理中的尖锐阈值现象

本文介绍了作者2017年在京都进行的高木讲座的内容。讲座介绍了布尔函数的尖锐阈值理论及其在统计物理相变研究中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Japanese Journal of Mathematics 数学-数学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.