ON A CLASS OF FRACTAL SETS WITH DIFFERENT UPPER AND LOWER BOX DIMENSIONS
This paper investigates a special Cantor set with different upper and lower box dimensions, and discusses its Hausdorff dimension. In addition, we extend the set and generate a class of sets with different upper and lower box dimensions, reaching a sufficiently large interval within the range of the box dimension.
Authors
- Yongshun Liang (ORCID: https://orcid.org/0000-0002-9394-6502)
- Qianqian Ren (ORCID: https://orcid.org/0000-0001-6204-6272)
Institutions
- Nanjing University of Science and Technology (CN)
Publication Details
- Journal
- Fractals
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1142/s0218348x24501366
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- National Natural Science Foundation of China