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Speaker:Yu Lei, Associate Professor, Doctoral Supervisor, School of Statistics and Data Science, Nankai University
Date:September 22, 2022
Time:15:30-16:30
Location:Tencent Meeting
Sponsor:Research Center for Mathematics and Interdisciplinary Sciences
Research Center for Nonlinear Expectation
Abstract:
The isoperimetric problem is one of most classic problems, which is to determine the minimum possible boundary-size (i.e., perimeter) of a set with a fixed size (i.e., volume). A famous result for the isoperimetric problem in the n-dimensional Euclidean space states that an n-ball has the smallest surface area per given volume. In last several decades, an analogue of the isoperimetric problem was considered in the discrete setting. In this talk we focus on the isoperimetric problem on the discrete hypercube. Specifically, I will introduce the classic results and my recent work on this topic, and also will connect this problem to the noise stability problem. The latter can be seen as a probabilistic version of the isoperimetric problem.
For more information, please visit:
https://www.view.sdu.edu.cn/info/1020/169379.htm