A Criterion For Ergodicity of Non-uniformly hyperbolic Diffeomorphisms

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dc.creatorHertz, F. Rodriguez
dc.creatorHertz, M. A. Rodriguez
dc.creatorTahzibi, A.
dc.creatorUres, R.
dc.date2007-10-11
dc.date.accessioned2026-07-07T08:35:55Z
dc.date.available2026-07-07T08:35:55Z
dc.descriptionIn this work we exhibit a new criteria for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and general position of some invariant manifolds. On one hand we derive uniqueness of SRB-measures for transitive surface diffeomorphisms. On the other hand, using recent results on the existence of blenders we give a positive answer, in the $C^1$ topology, to a conjecture of Pugh-Shub in the context of partially hyperbolic conservative diffeomorphisms with two dimensional center bundle.
dc.descriptionA Research Announcement
dc.identifierhttps://arxiv.org/abs/0710.2353
dc.identifierhttp://arxiv.org/abs/0710.2353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139901
dc.subjectDynamical Systems
dc.subject37D30, 37D35
dc.titleA Criterion For Ergodicity of Non-uniformly hyperbolic Diffeomorphisms
dc.typetext

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