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Random walk on p-adic flag varieties

Presented by: 
Y Benoist [Université Paris-Sud 11]
Date: 
Friday 4th July 2014 - 16:00 to 16:50
Venue: 
INI Seminar Room 1
Abstract: 
According to a theorem of Furstenberg, a Zariski dense probability measure on a real semisimple Lie group admits a unique stationary probability measure on the flag variety. In this talk we will see that a Zariski dense probability measure on a p-adic semisimple Lie group admits finitely many stationary probability measures on the flag variety and we will classify these measures. This is a joint work with JF. Quint.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons