Speaker
Victor Kleptsyn
(Université de Rennes)
Description
One of the main tools of the theory of dynamical systems are the invariant measures; for random dynamical systems, their role is taken by stationary measures.
In a recent work with A. Gorodetski and G. Monakov, we show that stationary measures almost always (under extremely mild assumptions) satisfy the H\"older regularity property: the measure of any ball is bounded by (a constant times) some positive power of its radius.
