Fredholm determinants, Anosov maps and Ruelle resonances

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dc.creatorLiverani, Carlangelo
dc.date2005-05-03
dc.date.accessioned2026-07-07T05:19:36Z
dc.date.available2026-07-07T05:19:36Z
dc.descriptionI show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius transfer operator acting on appropriate Banach spaces. As a consequence it follows, for example, that the zeroes of the dynamical determinant describe the eigenvalues of the transfer operator and the Ruelle resonances and that, for $\Co^\infty$ Anosov diffeomorphisms, the dynamical determinant is an entire function.
dc.identifierhttps://arxiv.org/abs/math/0505049
dc.identifierhttp://arxiv.org/abs/math/0505049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75077
dc.subjectDynamical Systems
dc.subject37D20, 37C30
dc.titleFredholm determinants, Anosov maps and Ruelle resonances
dc.typetext

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