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arXiv · 2603.04871

Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number

M. V. Pratsiovytyi·S. O. Klymchuk·O. P. Makarchuk
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Abstract

In the paper we study transformations of the interval $[0;1)$ and functions that preserve the asymptotic mean $r$ of the digits in the $s$--adic representation of a number $x$, $$r(x)=\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits^{n}_{i=1}\alpha_i(x)$$ specify the necessary and sufficient conditions for a transformation to belong to this class

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M. V. Pratsiovytyi, S. O. Klymchuk, O. P. Makarchuk. 2026-03-05. Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number. https://arxiv.org/abs/2603.04871

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