LOWER DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS

Jiaojiao Yang (), Yanzhe Li and Ran Hu ()
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Jiaojiao Yang: School of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, P. R. China
Yanzhe Li: ��College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China
Ran Hu: School of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 09, 1-7

Abstract: In this paper, we obtain the lower dimension for homogeneous perfect sets under the condition supk{nk} < +∞, and we also obtain the lower spectrum formula for homogeneous perfect sets under the condition c* > 0. A lower spectrum formula for a large class of sets in a metric space is established in our proof.

Keywords: Lower Dimension; Lower Spectrum; Homogeneous Perfect Set (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501845

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