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The local $C^1$-density of stable ergodicity (1112.5690v1)
Published 24 Dec 2011 in math.DS
Abstract: The center bundle of a conservative partially hyperbolic diffeomorphism $f$ is called robustly non-hyperbolic if any conservative diffeomorphism which is $C1$-close to $f$ has non-hyperbolic center bundle. In this paper, we prove that stable ergodicity is $C1$-dense among conservative partially hyperbolic systems with robust non-hyperbolic center.
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