Mathematical Sciences Research Institute

Home » A free boundary problem related to complex dynamics


A free boundary problem related to complex dynamics February 09, 2011 (10:00 AM PST - 10:45 AM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Alexander Volberg (Michigan State University)
Description Speaker:  Alexander Volberg


On a limit set of analytic endomorphism one can consider 3 natural measures:
Hausdorff measure, maximal entropy measure, and harmonic measure. Rigidity theorems
sate that if two of these 3 measures coincide, then the dynamical system must be very 
specific.This is the general belief, but it is still open in the case of the pair: 
harmonic measure and Hausdorff measure.The difficulty lies in a certain quite
naturally looking free boundary problem, which will be described.

Location:  Simons Auditorium

No Video Uploaded
Abstract/Media No Abstract No Notes/Supplements Uploaded No Video Files Uploaded