论文标题

有条件的平均维度

Conditional mean dimension

论文作者

Liang, Bingbing

论文摘要

我们为两个拓扑动力系统之间的因子图引入了一些条件平均维度的概念,并讨论了它们的属性。在这些概念的帮助下,我们获得了不平等,以估计扩展系统的平均维度。计算$ g $延伸的条件平均维度。我们还在动态嵌入问题中展示了一些应用。

We introduce some notions of conditional mean dimension for a factor map between two topological dynamical systems and discuss their properties. With the help of these notions, we obtain an inequality to estimate the mean dimension of an extension system. The conditional mean dimension for $G$-extensions are computed. We also exhibit some applications in the dynamical embedding problems.

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