Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products
| Autor: | Lorenzo J. Díaz, Katrin Gelfert, M. Rams |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Transitive relation
Mathematics::Dynamical Systems 010102 general mathematics Mathematical analysis Skew Lyapunov exponent Topology 01 natural sciences symbols.namesake Mathematics (miscellaneous) 0103 physical sciences symbols Ergodic theory 010307 mathematical physics 0101 mathematics Invariant (mathematics) Mathematics |
| Zdroj: | Proceedings of the Steklov Institute of Mathematics. 297:98-115 |
| ISSN: | 1531-8605 0081-5438 |
| DOI: | 10.1134/s008154381704006x |
| Popis: | We review some ergodic and topological aspects of robustly transitive partially hyperbolic diffeomorphisms with one-dimensional center direction. We also discuss step skew-product maps whose fiber maps are defined on the circle which model such dynamics. These dynamics are genuinely nonhyperbolic and exhibit simultaneously ergodic measures with positive, negative, and zero exponents as well as intermingled horseshoes having different types of hyperbolicity. We discuss some recent advances concerning the topology of the space of invariant measures and properties of the spectrum of Lyapunov exponents. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink