分野別セミナー

アブストラクト：
For a diffeomorphism on a compact manifold, we can define measure with maximum total exponent. We show that any $C^1$-diffeomorphism with 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 $r\geq 2$ any $C^r$-diffeomorphism with basic set does not have a $C^r$-neighborhood satisfying the above properties.


※ このセミナーは九州確率論セミナーとの合同セミナーです．