Zihui Zhao
Thursday, April 26, 2018 - 2:30pm to 3:20pm
PDL C-36
Abstract: Given a bounded domain
, the harmonic measure
is a probability measure on
and it characterizes where a Brownian traveller in
is likely to exit the domain from. The elliptic measure is a non-homogenous variant of harmonic measure.
Since 1917, there has been much study about the relationship between
and the surface measure
of the boundary. In particular, are
and
absolutely continuous with each other? In this talk, I will show how a positive answer to this question implies that the corresponding domain enjoys good geometric property.
This talk is a preparation for my thesis defense!