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arXiv:0812.0277 [math.DS]AbstractReferencesReviewsResources

Stable ergodicity of dominated systems

Martin Andersson

Published 2008-12-01, updated 2008-12-16Version 2

We provide a new approach to stable ergodicity of systems with dominated splittings, based on a geometrical analysis of global stable and unstable manifolds of hyperbolic points. Our method suggests that the lack of uniform size of Pesin's local stable and unstable manifolds - a notorious problem in the theory of non-uniform hyperbolicity - is often less severe than it appeas to be.

Comments: 22 pages
Categories: math.DS
Subjects: 37D30, 37D25
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