Assouad and Lower Dimensions of Some Homogeneous Cantor Sets
We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the interval 0,dimHE and the Assouad dimension of...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3501228 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the interval 0,dimHE and the Assouad dimension of E may be any a number in the interval dim¯BE,1. |
|---|---|
| ISSN: | 2314-4785 |