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Some Fractal Properties of Sets Having the Moran Structure

Symon Serbenyuk

Serbenyuk, Symon

Nov 29, 2022

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

Tatra Mountains Mathematical Publications

Volume 81 (2022): Issue 1 (November 2022)

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Published Online: Nov 29, 2022

Page range: 1 - 38

Received: Aug 02, 2021

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

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

© 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.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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