# Mathematical Conversations

**Topic: **Harmonic measure and boundary regularity

**Speaker: **Zihui Zhao

**Affiliation: **Member, School of Mathematics

**Date & Time: **Wednesday February 13th, 2019, 6:00pm - 7:30pm

**Location: **Dilworth Room

Given a domain, the harmonic measure is a measure that relates any boundary function to its harmonic extension; it is also the hitting probability of the boundary for a Brownian motion moving inside the domain. We will talk about the relationship between the harmonic measure and the boundary surface measure, under various geometric assumptions of the domain.