|Topic:||Harmonic measure and boundary regularity|
|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.