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Some Fractal Properties of Sets Having the Moran Structure

Symon Serbenyuk

Serbenyuk, Symon

29. Nov. 2022

Some Fractal Properties of Sets Having the Moran Structure's Cover Image

Tatra Mountains Mathematical Publications

Band 81 (2022): Heft 1 (November 2022)

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Online veröffentlicht: 29. Nov. 2022

Seitenbereich: 1 - 38

Eingereicht: 02. Aug. 2021

DOI: https://doi.org/10.2478/tmmp-2022-0001

Schlüsselwörter
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

© 2022 Symon Serbenyuk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Sprache:: Englisch

Zeitrahmen der Veröffentlichung:: 3 Hefte pro Jahr
Fachgebiete der Zeitschrift:: Mathematik, Mathematik, Allgemeines

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