<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Some Fractal Properties of Sets Having the Moran Structure

Tatra Mountains Mathematical Publications

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

{"article-title":"Some Fractal Properties of Sets Having the Moran Structure"}

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...

Some Fractal Properties of Sets Having the Moran Structure

Data publikacji: 29 lis 2022

Zakres stron: 1 - 38

Otrzymano: 02 sie 2021

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

Słowa kluczowe
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.

Some Fractal Properties of Sets Having the Moran Structure

Data publikacji: 29 lis 2022

Zakres stron: 1 - 38

Otrzymano: 02 sie 2021

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

Słowa kluczowefractal, 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.

Słowa kluczowe
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