HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS

QINGCHENG ZENG, YUMEI XUE · Fractals · 2024

In 2023, Xi et al. introduced the Hausdorff dimension of a family of networks which inspired by the potential theoretic methods in fractal geometry. In this paper, we will construct a class of colored substitution networks and obtain its Hausdorff dimension using the self-similarity.

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