Assouad-Type Dimensions of Homogeneous Moran Sets and Cantor-like Sets

Axioms 2026 Open access

Read full text
Authors: Yanzhe Li, Jun Li, Shuang Liang, Manli Lou
DOI: 10.3390/axioms15040279
Cited by: 0

Abstract

Assouad-type dimensions primarily describe the local structure of sets and have attracted significant attention in recent years within the field of fractal geometry. In this paper, we derive a formula for the Assouad dimension and establish an upper bound for the lower dimension for homogeneous Moran sets under the condition supk≥1{nk}

Fields of Study & Subjects

Mathematical Dynamics and Fractals Analytic and geometric function theory Holomorphic and Operator Theory

Publication details

Journal / source
Axioms
Volume
15
Issue
4
Pages
279–279
Publication date
11 April 2026
Language
EN