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 4 of their papers we have counts for

collaborators

4 papers

math.FA2026

A Continuous digit projector from binary representations of numbers onto $A_{2}$ -representation

O. O. Nikorak, S. P. Ratushniak

As is known, the $A_{2}$ -continued representation of numbers is not topologically equivalent to the classical binary representation; therefore, the digit projector of such representa…

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…

A Continuous digit projector from binary representations of numbers onto A2​-representation

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

A Continuous digit projector from binary representations of numbers onto $A_{2}$ -representation

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