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ASSOUAD DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS
Fractals ( IF 4.7 ) Pub Date : 2020-07-13 , DOI: 10.1142/s0218348x20501327
JIAOJIAO YANG 1 , YALI DU 2
Affiliation  

The homogeneous perfect sets introduced by Wen and Wu [Hausdorff dimension of homogeneous perfect sets, Acta. Math. Hungar. 107 (2005) 35–44] is an important class of Moran sets. In this paper, we obtain the Assouad dimension and Assouad spectrum formulas for homogeneous perfect set under suitable condition. In the proof an Assouad spectrum formula for a large class of fractal sets is established.

中文翻译:

齐次完全集的维数和谱

Wen和Wu介绍的齐次完美集[齐次完美集的Hausdorff维数,Acta。数学。匈牙利。107 (2005) 35–44] 是 Moran 集的重要类别。在本文中,我们得到了适当条件下齐次完美集的Assouad维数和Assouad谱公式。在证明中,建立了一大类分形集的 Assouad 谱公式。
更新日期:2020-07-13
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