Work

Log-Hölder Regularity of Stationary Measures

Year: 2025

Type: article

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 $$\log $$ log -Hölder continuous.

Source: Communications in Mathematical Physics

DOI: 10.1007/s00220-025-05425-z

Author: Grigorii Monakov

Institution: University of California, Irvine

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: National Science Foundation