Abstract
We show that if is a diffeomorphism of a manifold to itself, is a mixing (or transitive) hyperbolic set, and is a neighborhood of , then there exists a mixing (or transitive) hyperbolic set with a Markov partition such that . We also show that in the topologically mixing case the set will have a unique measure of maximal entropy.
Citation
Todd Fisher. Himal Rathnakumara. "Markov partitions for hyperbolic sets." Involve 2 (5) 549 - 557, 2009. https://doi.org/10.2140/involve.2009.2.549
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