Mathematical Conversations

Topic: Dimension and support of the harmonic measure or What do Brownian travelers see?

Speaker: Svitlana Mayboroda

Affiliation: University of Minnesota; von Neumann Fellow, School of Mathematics

Date & Time: Wednesday February 21st, 2018, 6:00pm - 7:00pm

Location: Dilworth Room

Harmonic measure of a portion of the boundary is the probability that a Brownian traveler starting inside the domain exits through this portion of the boundary. It is also a simplest building block of any harmonic function in a domain. Some questions pertaining to the dimension and support of the harmonic measure are hundred years old and still open, some received spectacular resolution just recently. We will discuss the state of the art and remaining mysteries.