110006455964
Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus
en
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.
9000006583847
Hirayama Michihiro
Faculty of Mathematics Kyushuu University Fukuoka
50301411
1000050301411
9000006583848
9000002358666
9000000064339
9000410145830
Sumi Naoya
Department of Mathematics Tokyo Institute of Technology
00182079
AA00664323
Hiroshima mathematical journal
広島大学
Hiroshima University
2007-11
37
3
491
517
110006455964