We give a description of stationary probability measures on projective spaces for

an iid random walk on GLd(R) without any algebraic assumptions. This is done

in two parts. In a first part, we study the case (non-critical or block-dominated

case) where the random walk has distinct deterministic exponents in the sense of

Furstenberg-Kifer-Hennion. In a second part (critical case), we show that if the

random walk has only one deterministic exponent, then any stationary probability

measure on the projective space lives on a subspace on which the ambient group of

the random walk acts completely reducibly. This connects the critical setting with

the work of Guivarc’h-Raugi and Benoist-Quint. Combination of all these works

allow to get a description of stationary probability measures. Joint works with Richard Aoun.

# Stationary probability measures on projective spaces

Event time:

Monday, November 13, 2023 - 4:00pm

Location:

KT801

Speaker:

Cagri Sert

Speaker affiliation:

University of Zurich

Event description: