论文标题
拓扑动力系统的熵和出现
Entropy and Emergence of Topological Dynamical Systems
论文作者
论文摘要
拓扑动力系统$（x，f）$诱导了两个天然系统，一个是概率度量空间，另一个是在超空间上。 我们介绍了这两个空间的概念，称为熵顺序，并证明它与$（x，f）$的拓扑熵一致。我们还考虑了不变度量的熵顺序，并建立了变异原理。
A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace. We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established.
