Dimensional entropies and semi-uniform hyperbolicity

Details Dimensional entropies and semi-uniform hyperbolicity Dimensional entropies and semi-uniform hyperbolicity

2011-02-03

arxiv.org/abs/1102.0612v1

Mathematics

Dynamical Systems

18 pages. To appear in Proc. Intern. Cong. Math. Phys., Rio, 2006

Scientific paper

We describe dimensional entropies introduced in a previous work list some of their properties and give some new proofs. These entropies allowed the definition of entropy-expanding maps. We introduce a new notion of entropy-hyperbolicity for diffeomorphisms. We indicate some simple sufficient conditions (some of them new) for these properties. We conclude by some work in progress and more questions.

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