" Harmonic Measures for Infinitely Connected Domains"
By
Abstract: In the last 30
years, a series of amazing discoveries about harmonic measure has been made.
One of the most important results is Makarov's
theorem that harmonic measure on any simply connected domain is singular to
α-dimensional Hausdorff measure for α>1
but absolutely continuous to α-dimensional Hausdorff
measure if α<1. We talk about
the concepts of harmonic measure, Hausdorff measures
and equilibrium measures first. Then, we discuss realations
between Hausdorff measures and harmonic measure for
some infinitely connected domain.
Date: Tuesday, November 26, 2013
Time: 16.00
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the
seminar.