天美传媒

Wuhan University| 中文

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Published on 04 Dec 2025

Sharp Fundamental Gap Estimate for Convex Domains in Gaussian Spaces

This paper proves a sharp lower bound for the fundamental gap—defined as the difference between the first two eigenvalues of the Ornstein-Uhlenbeck operator under Dirichlet boundary conditions—over convex domains in Gaussian spaces. Furthermore, we establish a closely related sharp super-log-concavity property for the corresponding Dirichlet heat kernels. This talk presents joint work with Jin Sun of Fudan University.