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math.DS2022★ 7 cited
Globally coupled Anosov diffeomorphisms: Statistical properties
Wael Bahsoun, Carlangelo Liverani, Fanni M. Sélley
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 co…
math.DS2022★ 2 cited
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
José F. Alves, Wael Bahsoun, Marks Ruziboev +1
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our techn…