论文标题
Anosov差异性的熵和传递性之间的关系
A relation between entropy and transitivity of Anosov diffeomorphisms
论文作者
论文摘要
众所周知，横向Anosov差异性具有独特的最大熵（MME）度量。在这里，我们讨论了相反的问题。在一组周期点和MME结构上的Lyapunov指数上的合适假设下，我们获得了$ C^1- $ anosov diffemorthisms的传递性。
It is known that transitive Anosov diffeomorphisms have a unique measure of maximal entropy (MME). Here we discuss the converse question. Under suitable hypothesis on Lyapunov exponents on the set of periodic points and the structure of the MME we get transitivity of $C^1-$Anosov diffeomorphisms.
