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A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms ofS 2 with positive topological entropy

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Abstract

We prove the existence of an open and dense subset of mapsfεDiff ∞ω (S2) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem

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Authors and Affiliations

  1. Department of Mathematics, Pennsylvania State University, 16802, University Park, Pennsylvania

    Howard Weiss

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  1. Howard Weiss
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Communicated by J. L. Lebowitz

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Weiss, H. A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms ofS 2 with positive topological entropy. J Stat Phys 80, 481–485 (1995). https://doi.org/10.1007/BF02178369

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  • DOI: https://doi.org/10.1007/BF02178369

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