Showing 2024Show all
2 papers · 1 filter
math.DS2024
Amenable Metric Mean Dimension and Amenable Mean Hausdorff Dimension of Product Sets and Metric Varying
Xianqiang Li, Xiaofang Luo
Metric mean dimension and mean Hausdorff dimension depend on metrics. In this paper, we investigate the continuity of the metric mean dimension and mean Hausdorff dimension concern…
math.DS2024
Mean Hausdorff Dimension of Some Infinite Dimensional Fractals for Amenable Group Actions
Xianqiang Li, Xiaofang Luo
For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homo…