2020/07/15 by Acevedo, Jeovanny de Jesus Muentes, R. A. Ribeiro, Ribeiro, Raquel
Mathematics · #37C60 #37D20 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2007.07424
openalex publication_date 2020/07/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition.