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Hölder regularity of stationary measures
Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov · 2022-09-26 · via math.PR updates on arXiv.org

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 Hölder continuous. The result is a vast generalization of the classical statement on Hölder continuity of stationary measures of random walks on linear groups.

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