Log-Hölder Regularity of Stationary Measures

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI:10.1007/s00220-025-05425-z

Grigorii Monakov

引用次数: 0

Abstract

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.

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Log-Hölder固定措施的规律性

考虑由有限对数矩分布定义的Lipschitz和Hölder连续随机动力系统。证明了在适当的非退化条件下，每个平稳测度必须是\(\log \) -Hölder连续的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.