Certain singular distributions and fractals

In: Tatra Mountains Mathematical Publications, vol. 79, no. 2

Symon Serbenyuk

Details:

Year, pages: 2021, 163 - 198

Language: eng

Keywords:

fractal, Moran structure, Hausdorff dimension, range of values of a function, continuous function

Article type: Mathematics

Document type: scientific paper

DOI: https://doi.org/10.2478/tmmp-2021-0026

Full text

About article:

In the presented paper, the main attention is given to fractal sets whose elements have certain restrictions on using digits or combinations of digits in their own nega-P-representation. Topological, metric, and fractal properties of images of certain self-similar fractals under the action of some singular distributions, are investigated.

How to cite:

ISO 690:

Serbenyuk, S. 2021. Certain singular distributions and fractals. In Tatra Mountains Mathematical Publications, vol. 79, no.2, pp. 163-198. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0026

APA:

Serbenyuk, S. (2021). Certain singular distributions and fractals. Tatra Mountains Mathematical Publications, 79(2), 163-198. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0026

About edition:

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Published: 20. 12. 2021

Rights:

https://creativecommons.org/licenses/by-nc-nd/4.0/