Continuity of topological entropy for perturbation of time-one maps of hyperbolic flows

Resumen

We consider a C¹ neighborhood of the time-one map of a hyperbolic flow and prove that the topological entropy varies continuously for diffeomorphisms in this neighborhood. This shows that the topological entropy varies continuously for all known examples of partially hyperbolic diffeomorphisms with one-dimensional center bundle.

Autores: Saghin, R, Yang, J.

Journal: Israel Journal of Mathematics

Journal Volume: 215

Journal Issue: 2

Journal Page: 857–875

Tipo de publicación: ISI

Fecha de publicación: 2016

Topics: Topological entropy, partially hyperbolic, Anosov flow

DOI: 10.1007/s11856-016-1396-4

URL de la publicación: https://link.springer.com/article/10.1007/s11856-016-1396-4