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arXiv · 2209.12342

H\"older regularity of stationary measures

Anton Gorodetski·Victor Kleptsyn·Grigorii Monakov
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Abstract

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.

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Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov. 2022-09-25. H\"older regularity of stationary measures. https://arxiv.org/abs/2209.12342

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