Prokaj, Rudolf Dániel and Raith, Peter and Simon, Károly (2023) Fractal dimensions of continuous piecewise linear iterated function systems. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 151 (11). pp. 4703-4719. ISSN 0002-9939
|
Text
2302.04333v1.pdf Available under License Creative Commons Attribution. Download (565kB) | Preview |
Official URL: https://doi.org/10.1090/proc/16430
Abstract
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. Under a mild separation condition, we show that the Hausdorff and box dimensions of the attractor are equal to the minimum of 1 and the exponent which comes from the most natural system of covers of the attractor.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Mathematics, Applied; Key words and phrases; Piecewise linear iterated function system; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2024 07:31 |
| Last Modified: | 03 Apr 2024 07:31 |
| URI: | https://real.mtak.hu/id/eprint/191454 |
Actions (login required)
 |
Edit Item |
