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arXiv · 2407.13489

Mean Hausdorff Dimension of Some Infinite Dimensional Fractals for Amenable Group Actions

Xianqiang Li·Xiaofang Luo
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Abstract

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, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets.

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Xianqiang Li, Xiaofang Luo. 2024-07-18. Mean Hausdorff Dimension of Some Infinite Dimensional Fractals for Amenable Group Actions. https://arxiv.org/abs/2407.13489

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