论文标题
测量理论序列熵对和平均灵敏度
Measure-theoretic sequence entropy pairs and mean sensitivity
论文作者
论文摘要
我们表征了使用平均灵敏度的连续阿贝尔组作用的测量理论序列熵对。这解决了李和Yu提到的一个公开问题。由于我们的结果，我们提供了Kerr和Li的独立序列熵对（$μ$ -in对）的更简单表征，当该度量为ergodic并且该组为Abelian时。
We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using mean sensitivity. This solves an open question mentioned by Li and Yu. As a consequence of our results we provide a simpler characterization of Kerr and Li's independence sequence entropy pairs ($μ$-IN-pairs) when the measure is ergodic and the group is abelian.
