##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Gunhee Chow

## Coupling method and the fundamental gap problem on the sphere.

##### Abstract:

The reflection coupling method on Riemannian manifolds is a powerful tool in the study of harmonic functions and elliptic operators. In this talk, we will provide an overview of some fundamental ideas in stochastic analysis and the coupling method. We will then focus on applying these ideas to the study of the fundamental gap problem on the sphere. Based on joint work with Gang Yang and Guofang Wei.

### November 16, 2023

### 11:00 AM

APM 6402

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