Symbolic dynamics for Anosov families

A sequence of diffeomorphisms along compact Riemannian manifolds is Anosov family if the tangent bundle split into expanding and contracting subspaces. For a certain class families, we construct Markov partitions provide an associated symbolic representation which given by non-stationary subshift finite type (NSFT). Moreover, induced coding on each component NSFT shares several properties with classical notion uniformly hyperbolic system. In particular, it finite-to-one Hölder continuous surjection that one-to-one residual subset corresponding manifold.