<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

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.

Some Fractal Properties of Sets Having the Moran Structure

Published Online: Nov 29, 2022

Page range: 1 - 38

Received: Aug 02, 2021

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

Keywordsfractal, 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.

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