Mean Hausdorff dimension of some infinite dimensional fractals for amenable group actions
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DOI: 10.1063/5.0258258
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. read more here.
Keywords: infinite dimensional; mean hausdorff; amenable group; hausdorff dimension ... See more keywords