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 The Anisotropic Gaussian Isoperimetric Inequality and Ehrhard Symmetrization

Kuan-Ting Yeh, University of Washington
Thursday, May 16, 2024 - 12:30pm to 1:20pm
PDL C-401

The symmetrization method is a captivating tool for handling isoperimetric-type inequalities, with numerous applications across various fields. In this talk, we provide an overview of topics pertaining to isoperimetric-type inequalities and symmetrizations, focusing on the perspective of geometric measure theory. We demonstrate inequalities associated with symmetrizations and highlight that within a broad class of measures, the isotropic Gaussian measure is the sole measure that satisfies the perimeter-decreasing property.