Apparaît dans la collection : 2024 - T2 - WS2 - Group actions with hyperbolicity and measure rigidity

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 Hölder regularity property: the measure of any ball is bounded by (a constant times) some positive power of its radius.