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.

中文翻译：

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统计物理学中的尖锐阈值现象

本文介绍了作者 2017 年在京都举行的高木讲座的内容。讲座介绍了布尔函数尖锐阈值理论的某些方面及其在统计物理相变研究中的应用。