Hypercontractive inequalities and their extensions

发布时间:2024-05-26浏览次数:10

分析学研讨班


题目:Hypercontractive inequalities and their extensions

报告人:于磊 (南开大学)


时间:2024年6月5日(星期三),16:00-17:30


地点:正心楼716室

Zoom会议,会议号:946 1307 0421,密码:371188


摘要:

Hypercontractive inequalities are a class of functional inequalities that strengthen the well-known Holder inequalities. These inequalities have found many applications in functional analysis, probability theory, discrete Fourier analysis, theoretical computer science, etc., especially in dealing with extremal problems in the geometry of high-dimensional spaces. In this talk, we will introduce hypercontractive inequalities and their extensions, including the information-theoretic characterization of hypercontractive inequalities, a non-linear strengthening of hypercontractive inequalities, and the opposite version of hypercontractive inequalities, called anti-contractive inequalities.


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