MEASURES WITH MAXIMUM TOTAL EXPONENT OF C^1-DIFFEOMORPHISMS WITH BASIC SETS - 九大コレクション

＜紀要論文＞
MEASURES WITH MAXIMUM TOTAL EXPONENT OF C^1-DIFFEOMORPHISMS WITH BASIC SETS

作成者	作成者名 Tokunaga, Yusuke 所属機関所属機関名 Department of Mathematics, Graduate School of Science, Osaka University
本文言語	英語
出版者	Faculty of Mathematics, Kyushu University
出版者	九州大学大学院数理学研究院
発行日	2015-06-09
収録物名	Kyushu Journal of Mathematics
巻	69
号	1
開始ページ	95
終了ページ	110
出版タイプ	Version of Record
アクセス権	restricted access
関連DOI	以下と同一 https://doi.org/10.2206/kyushujm.69.95
関連DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
関連URI	http://www2.math.kyushu-u.ac.jp/~kjm/
関連URI
関連HDL
関連情報	http://www2.math.kyushu-u.ac.jp/~kjm/
概要	We show that any C^1-diffeomorphism with a basic set has a C^1-neighborhood satisfying the following properties. A generic element in the neighborhood has a unique measure with maximum total exponent ...which is of zero entropy and fully supported on the continuation of the basic set. To the contrary, we show that for r ≥ 2 any Cr-diffeomorphism with a basic set does not have a C^r-neighborhood satisfying the above properties.続きを見る