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arXiv · 2208.02517

Globally coupled Anosov diffeomorphisms: Statistical properties

Wael Bahsoun·Carlangelo Liverani·Fanni M. Sélley
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Abstract

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, $h_\varepsilon$. Moreover, we prove exponential convergence to equilibrium for a suitable class of distributions and show that the map $\varepsilon\mapsto h_\varepsilon$ is Lipschitz continuous.

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BibTeXRIS

Wael Bahsoun, Carlangelo Liverani, Fanni M. Sélley. 2022-08-04. Globally coupled Anosov diffeomorphisms: Statistical properties. https://doi.org/10.1007/s00220-022-04631-3

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