2017/09/02 by Jeovanny de Jesus Muentes Acevedo, Acevedo, Jeovanny de Jesus Muentes
Computer Science · Mathematics · #37B55 #37C75 #37D20 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:37B55 #msc:37C75 #msc:37D20
paper · pdf · doi:10.48550/arxiv.1709.00633
openalex publication_date 2017/09/02 · arxiv created 2017/11/21 · arxiv updated 2017/11/22 · openalex created_date 2019/07/23 · openalex updated_date 2026/07/28
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. Roughly, an Anosov family is a two-sided sequence of diffeomorphisms (or non-stationary dynamical system) with similar behavior to an Anosov diffeomorphisms. We show that the set consisting of Anosov families is an open subset of the set consisting of two-sided sequences of diffeomorphisms, which is endowed with the strong topology (or Whitney topology).