Work

Fractal dimensions and quasisymmetric packing-minimalities of some homogeneous Moran sets

Year: 2026

Type: preprint

Abstract: In this paper, we study the upper box dimensions, the packing dimensions and the quasisymmetric minimalities of some homogeneous Moran sets. We obtain the upper box dimension formula and the packing dimension formula for three classes of homogeneous Moran sets under some conditions. And two classes of them with packing dimension 1 are shown to be quasisymmetrically packing-minimal.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.17967

Authors: Liu, Pingping, Jiang, Chenyuan, Li, Yanzhe

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province

Awards: G5474979884, G5866374277, G7034475208

OpenAlex ID: W7213498171

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