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Zeta functions and analyticity of metric entropy for anosov systems

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Abstract

In this note we shall give an alternative proof, using generalized zeta functions, of a theorem of Contreras that the metric entropy of aC ω Anosov diffeomorphism or flow has a real analytic dependence on perturbations.

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Authors and Affiliations

  1. I.N.I.C. - Centro de Matematica, F.C.U.P., Praca Gomes Teixeira, 4000, Porto, Portugal

    Mark Pollicott

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  1. Mark Pollicott
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Pollicott, M. Zeta functions and analyticity of metric entropy for anosov systems. Israel J. Math. 76, 257–263 (1991). https://doi.org/10.1007/BF02773864

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  • DOI: https://doi.org/10.1007/BF02773864

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