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Billiards with Pesin region of measure one

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Abstract

We give a description of a large class of plane billiards with Pesin region of measure one. Open conditions including properly those founded by Wojtkowski [W1] forC 4 focusing boundaries are obtained. Lyapunov's forms, introduced by Lewowicz, are used.

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Authors and Affiliations

  1. Instituto de Matemática y Estadística “Prof. Ing. Rafael Laguardia”, Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay

    Roberto Markarian

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  1. Roberto Markarian
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Communicated by J.-P. Eckmann

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Markarian, R. Billiards with Pesin region of measure one. Commun.Math. Phys. 118, 87–97 (1988). https://doi.org/10.1007/BF01218478

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  • DOI: https://doi.org/10.1007/BF01218478

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