Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus
-
- Hirayama Michihiro
- Faculty of Mathematics Kyushuu University Fukuoka
-
- Sumi Naoya
- Department of Mathematics Tokyo Institute of Technology
Search this article
Description
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
-
- Hiroshima mathematical journal
-
Hiroshima mathematical journal 37 (3), 491-517, 2007-11
Hiroshima University
- Tweet
Details 詳細情報について
-
- CRID
- 1570009752384038528
-
- NII Article ID
- 110006455964
-
- NII Book ID
- AA00664323
-
- ISSN
- 00182079
-
- Text Lang
- en
-
- Data Source
-
- CiNii Articles