3 papers
math.NT2026
Infinite continued fractions with a finite alphabet and their applications
Mykola Pratsiovytyi, Sofiia Ratushniak
The paper investigates the topological and metric properties of the set of values of all infinite continued fractions of the form \[0+\frac{1}{a_1+\dfrac{1}{a_2+_{\ddots}}}=1/a…
math.PR2026
Fractal random variables defined by probability distributions of digits of their -representation having two bases with different signs
M. Pratsiovytyi, O. Baranovskyi, I. Lysenko +1
In this paper, we study distributions of two random variables \begin{gather*} Ï= Ï_1 g_{1-Ï_1} + \sum_{k=2}^\infty Ï_k g_{1-Ï_k} \prod_{i=1}^{k-1} g_{Ï_i} \equiv Î^{G_2}_{Ï…
math.FA2026
A class of Tribin functions related to -symbol encodings of numbers with a zero redundancy
Mykola Pratsiovytyi, Sofiia Ratushniak, Oleksandr Baranovskyi +1
In this paper, we consider a continuum class of continuous nowhere monotonic functions that generalize certain non-differentiable functions, including the Bush function, Wunderlich…