S. Ratushniak

most citedSingular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2026★ 1 cited

One continuum class of fractal functions defined in terms of $Q_{s}^{*}$ -representation

V. V. Nazarchuk, S. O. Vaskevych, S. P. Ratushniak

In the paper we study a class $F$ of multiparameter functions defined in terms of a polybasic $s$ -adic $Q_{s}^{*}$ -representation of numbers by \begin{equation*} f_a\bigl(x=Δ^{Q^{*…

math.NT2026

Fractal functions defined in terms of number representations in systems with a redundant alphabet

M. V. Pratsiovytyi, S. P. Ratushniak, Yu. Yu. Vovk +1

For fixed natural numbers $r$ and $s$ , where $2 \leq s \leq r$ , we consider a representation of numbers from the interval $[0; \frac{r}{s - 1}]$ obtained by encoding numbers by means o…

math.PR2026★ 3 cited

Singular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet

Mykola Pratsiovytyi, Sofiia Ratushniak

Given natural parameters s and r, where $2 \leq s \leq r$ , we consider the distribution of a random variable $ξ = k = 1 \sum \infty s^{- k} ξ_{k} \equiv Δ_{ξ_{1} ξ_{2} ... ξ_{k} ...}^{r_{s}},$ w…

One continuum class of fractal functions defined in terms of Qs∗​-representation

Fractal functions defined in terms of number representations in systems with a redundant alphabet

Singular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet

One continuum class of fractal functions defined in terms of $Q_{s}^{*}$ -representation