Harmonic measure and boundary regularity

Mathematical Conversations
Topic:Harmonic measure and boundary regularity
Speaker:Zihui Zhao
Affiliation:Member, School of Mathematics
Date:Wednesday, February 13
Time/Room:6:00pm - 7:30pm/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.