Dimensional entropies and semi-uniform hyperbolicity
Dynamical Systems
2011-02-04 v1
Abstract
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.
Cite
@article{arxiv.1102.0612,
title = {Dimensional entropies and semi-uniform hyperbolicity},
author = {Jerome Buzzi},
journal= {arXiv preprint arXiv:1102.0612},
year = {2011}
}
Comments
18 pages. To appear in Proc. Intern. Cong. Math. Phys., Rio, 2006