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arXiv · 1503.03926

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

Radu Saghin·Jiagang Yang
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Abstract

We consider a $C^1$ 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.

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Radu Saghin, Jiagang Yang. 2015-03-13. Continuity of topological entropy for perturbations of time-one maps of hyperbolic flows. https://arxiv.org/abs/1503.03926

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