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.
Harmonic measure and boundary regularity
Member, School of Mathematics
Date & Time
February 13, 2019 | 6:00 – 7:30pm