Some Fractal Properties of Sets Having the Moran Structure

Symon Serbenyuk

doi:10.2478/tmmp-2022-0001

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Some Fractal Properties of Sets Having the Moran Structure

Tatra Mountains Mathematical Publications

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

By: Symon Serbenyuk

Open Access

|Nov 2022

Abstract

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2022-0001 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 1 - 38

Submitted on: Aug 2, 2021

Published on: Nov 29, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

fractal,

s-adic representation,

nega-s-adic representation,

alternating Cantor series,

mixed s-adic series,

nega-s-adic Cantor series

Related subjects:

Mathematics,

General mathematics

© 2022 Symon Serbenyuk, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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