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Statistical aspects of mean field coupled intermittent maps

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posted on 2024-03-06, 17:27 authored by Wael BahsounWael Bahsoun, Alexey KorepanovAlexey Korepanov

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.

Funding

Transfer operators and emergent dynamics in hyperbolic systems

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Ergodic Theory and Dynamical Systems

Volume

44

Issue

4

Pages

945 - 957

Publisher

Cambridge University Press

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher 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

2023-06-12

Publication date

2023-07-19

Copyright date

2023

ISSN

0143-3857

eISSN

1469-4417

Language

  • en

Depositor

Prof Wael Bahsoun. Deposit date: 23 June 2023

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