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PreprintCC BY 4.0arXiv

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

  • Pingping Liu
  • Chenyuan Jiang
  • Yanzhe Li
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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.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026fractal,
  title = {{Fractal dimensions and quasisymmetric packing-minimalities of some homogeneous Moran sets}},
  author = {Pingping Liu and Chenyuan Jiang and Yanzhe Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17967},
  eprint = {2609.17967},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17967},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Fractal dimensions and quasisymmetric packing-minimalities of some homogeneous Moran sets
AU  - Pingping Liu
AU  - Chenyuan Jiang
AU  - Yanzhe Li
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.17967
UR  - https://arxiv.org/abs/2609.17967
AB  - 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.
ER  -