Linear fractals of the Besicovitch-Eggleston type
Number Theory
2026-03-06 v2 Functional Analysis
Abstract
We study topological, metric and fractal properties of set of numbers with given asymptotic mean of digits in their ternary representation. We investigate connection of these numbers and numbers with a given frequency of digits.
Keywords
Cite
@article{arxiv.2603.03396,
title = {Linear fractals of the Besicovitch-Eggleston type},
author = {M. V. Pratsiovytyi and S. O. Klymchuk},
journal= {arXiv preprint arXiv:2603.03396},
year = {2026}
}