Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus
Hirayama, Michihiro ; Sumi, Naoya
Hiroshima Math. J., Tome 37 (2007) no. 1, p. 491-517 / Harvested from Project Euclid
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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 Livšic-Sinai theorem for Anosov diffeomorphisms.
Publié le : 2007-11-15
Classification:  Entropy production,  absolutely continuous invariant measures,  37C40,  37D20,  37D25 
@article{1200529814,
     author = {Hirayama, Michihiro and Sumi, Naoya},
     title = {Absolutely continuous invariant measures for expansive diffeomorphisms of the
				2-torus},
     journal = {Hiroshima Math. J.},
     volume = {37},
     number = {1},
     year = {2007},
     pages = { 491-517},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1200529814}
}

Hirayama, Michihiro; Sumi, Naoya. Absolutely continuous invariant measures for expansive diffeomorphisms of the
				2-torus. Hiroshima Math. J., Tome 37 (2007) no. 1, pp.  491-517. http://gdmltest.u-ga.fr/item/1200529814/