The local $C^1$-density of stable ergodicity

Details The local $C^1$-density of stable ergodicity The local $C^1$-density of stable ergodicity

2011-12-24

arxiv.org/abs/1112.5690v1

Mathematics

Dynamical Systems

Scientific paper

The center bundle of a conservative partially hyperbolic diffeomorphism $f$
is called robustly non-hyperbolic if any conservative diffeomorphism which is
$C^1$-close to $f$ has non-hyperbolic center bundle. In this paper, we prove
that stable ergodicity is $C^1$-dense among conservative partially hyperbolic
systems with robust non-hyperbolic center.

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