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arXiv · 2407.14837

Assouad type dimensions of homogeneous Moran sets and Cantor-like sets

Yanzhe Li·Jun Li·Shuang Liang·Manli Lou
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Abstract

In this paper, we give the Assouad dimension formula and the upper bound of the lower dimension for homogeneous Moran sets under the condition $\sup_{k\ge 1}\{n_{k}\}<+\infty$. We also give the Assouad spectrum and the lower spectrum formulas for Cantor-like sets.

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Yanzhe Li, Jun Li, Shuang Liang, Manli Lou. 2024-07-20. Assouad type dimensions of homogeneous Moran sets and Cantor-like sets. https://arxiv.org/abs/2407.14837

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