Generic measures for hyperbolic flows on non compact spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider the geodesic flow on a complete connected negatively curved manifold. We show that the set of invariant borel probability measures contains a dense $G_δ$-subset consisting of ergodic measures fully supported on the non-wandering set. We also trat the case of non-positively curved manifolds and provide general tools to deal with hyperbolic systems defined on non-compact spaces.

Keywords

Dynamical Systems, 37B10;37D40;34C28

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/134547

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.2515
 http://arxiv.org/abs/0707.2515

Collections

arXiv