Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus

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概要

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• The aim of this paper is to establish an equivalent criterion for certain expansive diffeomorphisms of the 2-torus to admit an invariant Borel probability measure that is absolutely continuous with respect to the Riemannian volume. Our result is closely related to the well known Liv\v{s}ic-Sinai theorem for Anosov diffeomorphisms.

• 広島大学の論文

著者

• Hirayama Michihiro

  Faculty Of Mathematics Kyushuu University Fukuoka

• Sumi Naoya

  Department of Mathematics Tokyo Institute of Technology

• Sumi Naoya

  Department of Electrical Engineering and Computer Science, Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan

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