Anisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations

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dc.creatorBaladi, Viviane
dc.date2004-08-31
dc.date2004-12-23
dc.date.accessioned2026-07-07T05:11:40Z
dc.date.available2026-07-07T05:11:40Z
dc.descriptionWe consider a smooth Anosov diffeomorphism with a smooth dynamical foliation. We show upper bounds on the essential spectral radius of its transfer operator acting on anisotropic Sobolev spaces. (Such bounds are related to the essential decorrelation rate for the SRB measure.) We compare our results to the estimates of Kitaev on the domain of holomorphy of dynamical Fredholm determinants for differentiable dynamics.
dc.descriptionRevised version. Technical points clarified. Statements for t=1 or infty suppressed
dc.identifierhttps://arxiv.org/abs/math/0408430
dc.identifierhttp://arxiv.org/abs/math/0408430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72323
dc.subjectDynamical Systems
dc.subject37C30
dc.titleAnisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations
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