2 papers
math.CA2023
Structure of measures for which Ehrhard symmetrization is perimeter non-increasing
Sean McCurdy, Kuan-Ting Yeh
In this paper, we prove that isotropic Gaussian functions are \textit{characterized} by a rearrangement inequality for weighted perimeter in dimensions within the class…
math.PR2023
The Anisotropic Gaussian Isoperimetric Inequality and Ehrhard Symmetrization
Kuan-Ting Yeh
In this paper, we prove the isoperimetric inequality for the anisotropic Gaussian measure and characterize the cases of equality. We also find an example that shows Ehrhard symmetr…