Robust transitivity implies almost robust ergodicity

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dc.creatorTahzibi, Ali
dc.date2002-07-10
dc.date.accessioned2026-07-07T04:49:37Z
dc.date.available2026-07-07T04:49:37Z
dc.descriptionIn this paper we show the relation between robust transitivity and robust ergodicity for conservative diffeomorphisms. In dimension 2 robustly transitive systems are robustly ergodic. For the three dimensional case, we define it almost robust ergodicity and prove that generically robustly transitive systems are almost robustly ergodic, if the Lyapunov exponents are nonzero. We also show in higher dimensions, that under some conditions robust transitivity implies robust ergodicity.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0207090
dc.identifierhttp://arxiv.org/abs/math/0207090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64492
dc.subjectDynamical Systems
dc.subject37Axx, 37Cxx
dc.titleRobust transitivity implies almost robust ergodicity
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