Linear fractals of the Besicovitch-Eggleston type

M. V. Pratsiovytyi; S. O. Klymchuk

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arXiv · 2603.03396

Linear fractals of the Besicovitch-Eggleston type

M. V. Pratsiovytyi·S. O. Klymchuk

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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.

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M. V. Pratsiovytyi, S. O. Klymchuk. 2026-03-03. Linear fractals of the Besicovitch-Eggleston type. https://arxiv.org/abs/2603.03396

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