Linear fractals of the Besicovitch-Eggleston type

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Mykola V. Pratsiovytyi, S. O. Klymchuk
DOI: 10.48550/arxiv.2603.03396
Cited by: 0

Abstract

We study topological, metric and fractal properties of set of numbers $[0;1]$ with given asymptotic mean of digits in their ternary representation. We investigate connection of these numbers and numbers with a given frequency of digits.

Fields of Study & Subjects

Mathematical Dynamics and Fractals p-Adic Analysis and Mathematical Physics Advanced Topology and Set Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
3 March 2026
Language
EN
Document type
Preprint