Statistical aspects of mean field coupled intermittent maps
journal contribution
posted on 2024-03-06, 17:27 authored by Wael BahsounWael Bahsoun, Alexey Korepanov<p>We study infinite systems of mean field weakly coupled intermittent maps in the Pomeau–Manneville scenario. We prove that the coupled system admits a unique ‘physical’ stationary state, to which all absolutely continuous states converge. Moreover, we show that suitably regular states converge polynomially.</p>
Funding
Transfer operators and emergent dynamics in hyperbolic systems
Engineering and Physical Sciences Research Council
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School
- Science
Department
- Mathematical Sciences
Published in
Ergodic Theory and Dynamical SystemsVolume
44Issue
4Pages
945 - 957Publisher
Cambridge University PressVersion
- VoR (Version of Record)
Rights holder
© The AuthorsPublisher statement
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.Acceptance date
2023-06-12Publication date
2023-07-19Copyright date
2023ISSN
0143-3857eISSN
1469-4417Publisher version
Language
- en
