Log-H\"older regularity of stationary measures
Dynamical Systems
2025-11-05 v2
Abstract
We consider Lipschitz and H\"{o}lder 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 -H\"{o}lder continuous.
Keywords
Cite
@article{arxiv.2407.00344,
title = {Log-H\"older regularity of stationary measures},
author = {Grigorii Monakov},
journal= {arXiv preprint arXiv:2407.00344},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2209.12342