论文标题
诱导系统的拓扑平均维度
Topological mean dimension of induced systems
论文作者
论文摘要
对于具有阳性拓扑熵的拓扑系统，我们表明，具有弱的概率指标的诱导转换 - $*$拓扑具有无限的拓扑平均维度。我们还估计了当尺度为零时，熵相对于Wasserstein距离的差异速率。
For a topological system with positive topological entropy, we show that the induced transformation on the set of probability measures endowed with the weak-$*$ topology has infinite topological mean dimension. We also estimate the rate of divergence of the entropy with respect to the Wasserstein distance when the scale goes to zero.
