Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus
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Author(s)
Abstract
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.
Journal
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- Hiroshima mathematical journal
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Hiroshima mathematical journal 37(3), 491-517, 2007-11
Hiroshima University