May 27 – 31, 2024
Institut Henri Poincaré
Europe/Paris timezone
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Hölder regularity of stationary measures

May 29, 2024, 11:00 AM
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris


Victor Kleptsyn (Université de Rennes)


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.

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