论文标题
恒定的周期性数据和Anosov差异性的熵
Constant periodic data and entropy of Anosov diffeomorphisms
论文作者
论文摘要
我们研究恒定周期数据条件对Anosov差异性拓扑熵的影响。在恒定的周期性数据条件下，我们证明Anosov的差异性具有有限的最大熵衡量标准，并且相对于Lebesgue，它们都绝对是连续的。由此，在满足恒定周期性数据的$ c^{\ insosov diffemororips的设置中，我们通过最大熵的度量提供了传递性属性的表征。
We study the effects that the constant periodic data condition have on topological entropy of Anosov diffeomorphisms. Under constant periodic data condition we prove that Anosov diffeomorphism has finitely many measures of maximal entropy and each one of them is absolutely continuous with respect to Lebesgue. From this, in the setting of $C^{\infty}-$Anosov diffeomorphisms satisfying constant periodic data, we provide a characterization of transitivity property via measures of maximal entropy.
