LOWER DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS-Reference-Cited by-同舟云学术

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LOWER DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS

Published:2022-10-31 Issue:09 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

YANG JIAOJIAO¹,LI YANZHE²^ORCID,HU RAN¹

Affiliation:

1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, P. R. China

2. College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China

Abstract

In this paper, we obtain the lower dimension for homogeneous perfect sets under the condition [Formula: see text], and we also obtain the lower spectrum formula for homogeneous perfect sets under the condition [Formula: see text]. A lower spectrum formula for a large class of sets in a metric space is established in our proof.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Anhui Province

Anhui Normal University Foundatio

Guangxi Natural Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22501845

Reference23 articles.

1. Assouad type dimensions and homogeneity of fractals

2. Quantifying inhomogeneity in fractal sets

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