# Mathematical Sciences Research Institute

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# Seminar

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

Abstract:

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

Video