Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting

dc.creatorBaladi, Viviane
dc.creatorPujals, Enrique R.
dc.creatorSambarino, Martin
dc.date2003-07-03
dc.date2003-08-29
dc.date.accessioned2026-07-07T04:59:23Z
dc.date.available2026-07-07T04:59:23Z
dc.descriptionWe study the Ruelle dynamical determinant of a real analytic diffeomorphism on a compact surface, assuming that the tangent space over the nonwandering set admits a dominated splitting. Combining previous work of Pujals and Sambarino with methods introduced by Rugh, we show that the determinant is either entire or holomorphic in a (possibly multiply) slit plane.
dc.descriptionRevised version, some mistakes corrected (e.g. in Section 3)
dc.identifierhttps://arxiv.org/abs/math/0307045
dc.identifierhttp://arxiv.org/abs/math/0307045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67965
dc.subjectDynamical Systems
dc.subject37C30, 37D30, 37E30
dc.titleDynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
dc.typetext

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