Some Fractal Properties of Sets Having the Moran Structure

Author:

Serbenyuk Symon1

Affiliation:

1. Vinnytsia , Ukraine

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference47 articles.

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3. [3] CANTOR, G.:Üeber die einfachen Zahlensysteme,Z. Math. Phys. 14 (1869), 121–128. (In German)

4. [4] DIMARTINO, R.—URBINA, W. O.: On Cantor-like sets and Cantor-Lebesgue singular functions, https://arxiv.org/pdf/1403.6554.pdf

5. [5] DIMARTINO, R.—URBINA, W. O.: Excursions on Cantor-like Sets, https://arxiv.org/pdf/1411.7110.pdf

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