Log-Hölder Regularity of Stationary Measures
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 $$\log $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>log</mml:mo> </mml:math> -Hölder continuous.
Authors
- Grigorii Monakov (ORCID: https://orcid.org/0009-0007-0067-6915)
Institutions
- University of California, Irvine (US)
Publication Details
- Journal
- Communications in Mathematical Physics
- Published
- 2025-09-01
- DOI
- https://doi.org/10.1007/s00220-025-05425-z
- Citations
- 2
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- National Science Foundation