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

Research paper by Radu Saghin, Jiagang Yang

Indexed on: 13 Oct '16Published on: 13 Oct '16Published in: Israel Journal of Mathematics

#### Abstract

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.