3 papers
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*} τ= τ_1 g_{1-τ_1} + \sum_{k=2}^\infty τ_k g_{1-τ_k} \prod_{i=1}^{k-1} g_{τ_i} \equiv Δ^{G_2}_{τ_1τ_2...…
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…
math.FA2020
One class of continuous functions related to Engel series and having complicated local properties
Oleksandr Baranovskyi, Yuri Kondratiev, Mykola Pratsiovytyi
We construct and study the class of continuous on functions with continuum set of peculiarities (singular, nowhere monotonic, and non-differentiable functions are among th…