Non-Uniform hyperbolicity for infinite dimensional cocycles

Details Non-Uniform hyperbolicity for infinite dimensional cocycles Non-Uniform hyperbolicity for infinite dimensional cocycles

2011-07-18

arxiv.org/abs/1107.3588v1

Mathematics

Dynamical Systems

Scientific paper

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.

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