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
この論文をさがす
説明
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.
収録刊行物
-
- Hiroshima mathematical journal
-
Hiroshima mathematical journal 37 (3), 491-517, 2007-11
広島大学
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1570009752384038528
-
- NII論文ID
- 110006455964
-
- NII書誌ID
- AA00664323
-
- ISSN
- 00182079
-
- 本文言語コード
- en
-
- データソース種別
-
- CiNii Articles