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Centralizers and entropy

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Abstract

We prove that for a large class of bidimensional real analytic diffeomorphisms the centralizer is trivial: they only commute with their own integer powers. In particular this property holds for an open and dense subset of those having positive topological entropy.

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Authors and Affiliations

  1. Departamento de Matemática Pura Faculdade de Ciências do Porto, Praça Gomes Teixeira, 4000, Porto, Portugal

    Jorge Rocha

Authors
  1. Jorge Rocha
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Additional information

Partially supported by JNICT, PBIC/C/CEN 1020/92.

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Rocha, J. Centralizers and entropy. Bol. Soc. Bras. Mat 25, 213–222 (1994). https://doi.org/10.1007/BF01321309

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  • DOI: https://doi.org/10.1007/BF01321309

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