### Random walk on p-adic flag varieties

**Benoist, Y ***(Université Paris-Sud 11)*

Friday 04 July 2014, 16:00-16:50

Seminar Room 1, Newton Institute

#### 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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