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Pré-Publication, Document De Travail Année : 2003

Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting

Viviane Baladi
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Enrique R. Pujals
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Martin Sambarino
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Résumé

We 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.

Dates et versions

hal-00012767 , version 1 (27-10-2005)

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Viviane Baladi, Enrique R. Pujals, Martin Sambarino. Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting. 2003. ⟨hal-00012767⟩
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