论度量平均维数的局域性

Pub Date : 2021-03-08 DOI:10.2206/kyushujm.76.143

M. Tsukamoto

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引用次数: 2

摘要

度量平均维数是动力系统的度量不变量。它是度量空间的Minkowski维数的动力学模拟。我们解释了Bowen（1972）的旧思想可以用来澄清度量平均维数的局部性质。我们还解释了对R-动作的推广，并举例说明。

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REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION

Metric mean dimension is a metric invariant of dynamical systems. It is a dynamical analogue of Minkowski dimension of metric spaces. We explain that old ideas of Bowen (1972) can be used for clarifying the local nature of metric mean dimension. We also explain the generalization to R-actions and an illustrating example.

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