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G^3 = Geometric Group Theory on the Gulf Coast Conference
February 5-8, 2004

Mobile, AL, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev

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Stationarity of Patterson-Sullivan measures
by
Roman Muchnik
University of Chicago
Coauthors: Chris Connell

This is the second talk in a series of talks by Chris Connell and myself. I will concentrate on a theorem about the stationarity of Patterson-Sullivan measure on the boundary of CAT(-1) spaces. I will explain how to build this measure and how to insure the first moment condition provided the underlying group action is cocompact. I will also sketch the proof by Furstenberg showing stationarity of Haar measure on the boundary G/P, where G is a semisimple Lie group and P is a minimal parabolic.

Date received: January 6, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cami-16.