Some Results on Bundle Systems for a Countable Discrete Amenable Group Action
Some Results on Bundle Systems for a Countable Discrete Amenable Group Action
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DOI：
10.1007/s10473-023-0322-1
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发表时间：
2023-04
影响因子：
1
通讯作者：
J. Pan;Yunhua Zhou
中科院分区：
文献类型：
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作者：
J. Pan;Yunhua Zhou
本文研究了标架丛动力系统的风格数、独立数和熵。其基系是紧度量空间上的可数离散顺从群作用。我们得到了覆盖测度的存在性，关于平均线性无关性和样式数的遍历定理，以及关于样式数和独立数的变分原理。我们还研究了基系统的熵与它们的丛系统的熵之间的关系。
We consider the style number, independence number and entropy for a frame bundle dynamical system. The base system of which is a countable discrete amenable group action on a compact metric space. We obtain the existence of cover measures, an ergodic theorem about mean linear independence and the style number, and a variational principle for style numbers and independence numbers. We also study the relationship between the entropy of base systems and that of their bundle systems.