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Some fractal properties of sets having the Moran structure

In: Tatra Mountains Mathematical Publications, vol. 81, no. 1
Symon Serbenyuk

Details:

Year, pages: 2022, 1 - 38
Language: eng
Keywords:
fractal, Cantor-like set, Moran structure, Hausdorff dimension, self-similar set, s-adic representation, nega-s-adic representation, alternating Cantor series, mixed s-adic series, nega-s-adic Cantor series
Article type: Real Functions
Document type: scientific paper pdf
About article:
This article is devoted to sets having the Moran structure. The main attention is given to topological, metric, and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own representations.
How to cite:
ISO 690:
Serbenyuk, S. 2022. Some fractal properties of sets having the Moran structure. In Tatra Mountains Mathematical Publications, vol. 81, no.1, pp. 1-38. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0001

APA:
Serbenyuk, S. (2022). Some fractal properties of sets having the Moran structure. Tatra Mountains Mathematical Publications, 81(1), 1-38. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0001
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 22. 11. 2022
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/