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.