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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.DS2020
Conditioning problems for invariant sets of expanding piecewise affine mappings: Application to loss of ergodicity in globally coupled maps
Bastien Fernandez, Fanni M. Selley
We propose a systematic approach to the construction of invariant union of polytopes (IUP) in expanding piecewise affine mappings whose linear components are isotropic scalings. Th…
math.DS2015★ 11 cited
Mean-field coupling of identical expanding circle maps
Fanni Sélley, Péter Bálint
Globally coupled doubling maps are studied in this paper. In this setting and for finitely many sites, two distinct bifurcation values of the coupling strength have been identified…