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arXiv · 1107.3588

Non-Uniform hyperbolicity for infinite dimensional cocycles

Mario Bessa·Maria Carvalho
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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.

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Mario Bessa, Maria Carvalho. 2011-07-18. Non-Uniform hyperbolicity for infinite dimensional cocycles. https://doi.org/10.1142/s0219493712500268

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