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

Tokunaga, Yusuke

69 ( 1 )  , pp.95 - 110 , 2015-06-09 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NII書誌ID(NCID):AA10994346
内容記述
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.

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