条件均值维数
Conditional mean dimension
摘要：
引入了两个拓扑动力系统之间因子映射的条件均值维数的概念，并讨论了它们的性质。利用这些概念，我们得到了一个估计可拓系统平均维数的不等式。计算$G$ -扩展的条件均值维数。我们还展示了一些应用在动态嵌入问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
