Non-Uniform hyperbolicity for infinite dimensional cocycles
Dynamical Systems
2014-02-04 v1
Abstract
Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is positive on non-empty open sets. We prove that the non-uniformly Anosov cocycles are C0-dense in the family of partially hyperbolic f,H-skew products with non-trivial unstable bundles.
Cite
@article{arxiv.1107.3588,
title = {Non-Uniform hyperbolicity for infinite dimensional cocycles},
author = {Mario Bessa and Maria Carvalho},
journal= {arXiv preprint arXiv:1107.3588},
year = {2014}
}