Globally coupled Anosov diffeomorphisms: statistical properties

We 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...

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Bibliographic Details
Main Authors: Wael Bahsoun, Carlangelo Liverani, Fanni Sélley
Format: Default Article
Published: 2023
Subjects:
Mathematical physics
Pure mathematics
Quantum physics
Mathematical Physics
Online Access:https://hdl.handle.net/2134/21802482.v1
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