Globally coupled Anosov diffeomorphisms: statistical properties
journal contribution
posted on 2023-06-02, 15:42 authored by Wael BahsounWael Bahsoun, Carlangelo Liverani, Fanni SélleyWe study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Using transfer operators acting on anisotropic Banach spaces, we prove that the coupled system admits a unique physical invariant state, hε. Moreover, we prove exponential convergence to equilibrium for a suitable class of distributions and show that the map ε↦hε is Lipschitz continuous.
Funding
Transfer operators and emergent dynamics in hyperbolic systems
Engineering and Physical Sciences Research Council
Find out more...Grant PRIN 2017S35EHN
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
400Issue
3Pages
1791-1822Publisher
Springer (part of Springer Nature)Version
- VoR (Version of Record)
Rights holder
© The AuthorsPublisher statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.Acceptance date
2022-12-23Publication date
2023-01-10Copyright date
2023ISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en
