Dimensional entropies and semi-uniform hyperbolicity

Jerome Buzzi (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Domaines: Systèmes dynamiques [math.DS]

Jerome Buzzi. Dimensional entropies and semi-uniform hyperbolicity. 2007. ⟨hal-00561966⟩