Log-Hölder regularity of stationary measures

Fuente: arXiv
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Main Author: Monakov, Grigorii
Format: Preprint
Published: 2024
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author Monakov, Grigorii
author_facet Monakov, Grigorii
contents We consider Lipschitz and Hölder continuous random dynamical systems defined by a distribution with a finite logarithmic moment. We prove that under suitable non-degeneracy conditions every stationary measure must be $\log$-Hölder continuous.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00344
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Log-Hölder regularity of stationary measures
Monakov, Grigorii
Dynamical Systems
37H05, 60B20
We consider Lipschitz and Hölder continuous random dynamical systems defined by a distribution with a finite logarithmic moment. We prove that under suitable non-degeneracy conditions every stationary measure must be $\log$-Hölder continuous.
title Log-Hölder regularity of stationary measures
topic Dynamical Systems
37H05, 60B20
url https://arxiv.org/abs/2407.00344