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On a normal form of symmetric maps of [0, 1]

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Abstract

A class of continuous symmetric mappings of [0, 1] into itself is considered leaving invariant a measure absolutely continuous with respect to the Lebesgue measure.

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References

  1. Ruelle, D.: Applications conservant une mesure absolument continue par rapport adx sur [0,1]. Commun. Math. Phys.55, 47–51 (1977)

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  2. Lasota, A., Yorke, J.A.: On the existence of invariant measures for piecewise monotonic transformations. Trans. Am. Math. Soc.186, 481–488 (1973)

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Authors and Affiliations

  1. Fachbereich Mathematik der Johannes Gutenberg, Universität Mainz, D-6500, Mainz

    H. Rüssmann

  2. Mathematisches Institut der Ruhr-Universität Bochum, D-4630, Bochum, Germany

    E. Zehnder

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  1. H. Rüssmann
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  2. E. Zehnder
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Communicated by D. Ruelle

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Rüssmann, H., Zehnder, E. On a normal form of symmetric maps of [0, 1]. Commun.Math. Phys. 72, 49–53 (1980). https://doi.org/10.1007/BF01200110

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  • DOI: https://doi.org/10.1007/BF01200110

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