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Pré-Publication, Document De Travail Année : 2022

H\"older regularity of stationary measures

Résumé

We consider smooth random dynamical systems defined by a distribution with a finite moment of the norm of the differential, and prove that under suitable non-degeneracy conditions any stationary measure must be H\"older continuous. The result is a vast generalization of the classical statement on H\"older continuity of stationary measures of random walks on linear groups.

Dates et versions

hal-03836235 , version 1 (01-11-2022)

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Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov. H\"older regularity of stationary measures. 2022. ⟨hal-03836235⟩
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