Robust ergodic properties in partially hyperbolic dynamics

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dc.creatorAndersson, Martin
dc.date2008-10-11
dc.date.accessioned2026-07-07T10:09:29Z
dc.date.available2026-07-07T10:09:29Z
dc.descriptionWe study ergodic properties of partially hyperbolic systems whose central direction is mostly contracting. Earlier work of Bonatti, Viana about existence and finitude of physical measures is extended to the case of local diffeomorphisms. Moreover, we prove that such systems constitute a C^2-open set in which statistical stability is a dense property. In contrast, all mostly contracting systems are shown to be stable under small random perturbations.
dc.description49 pages, no figures
dc.identifierhttps://arxiv.org/abs/0810.2048
dc.identifierhttp://arxiv.org/abs/0810.2048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171334
dc.subjectDynamical Systems
dc.subject37D30, 37C40; 93E15
dc.titleRobust ergodic properties in partially hyperbolic dynamics
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