论文标题
随机动力学系统的Feldman-Katok指标上的熵公式
Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems
论文作者
论文摘要
在本文中，我们研究了随机动力学系统中的Feldman-Katok度量，并通过用Feldman-Katok度量代替Bowen Metric，建立了相应的纤维拓扑熵公式，Brin-Katok局部熵公式和纤维Katok熵公式。事实证明，Feldman-Katok度量也是使熵公式在随机动态系统上有效的最弱的度量。
In this paper, we study the Feldman-Katok metric in random dynamical systems and establish corresponding fiber topological entropy formula, Brin-Katok local entropy formula and fiber Katok entropy formula by replacing Bowen metric with Feldman-Katok metric. It turns out that the Feldman-Katok metric is also the weakest metric that makes the entropy formulae valid on random dynamical systems.
