Abstract
We study the Assouad and lower dimensions of self-affine sponges; the higher dimensional analogue of the planar self-affine carpets of Bedford and McMullen. Our techniques involve the weak tangents of Mackay and Tyson as well as regularity properties of doubling measures in the context studied by Bylund and Gudayol.
| Original language | English |
|---|---|
| Article number | 42 |
| Pages (from-to) | 149-174 |
| Journal | Annales Academiae Scientiarum Fennicae-Mathematica |
| Volume | 42 |
| Early online date | 10 Jan 2017 |
| DOIs | |
| Publication status | Published - 2017 |
Fingerprint
Dive into the research topics of 'Assouad type dimensions for self-affine sponges'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver