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.PR2015
On Bernoulli convolutions generated by second Ostrogradsky series and their fine fractal properties
Sergio Albeverio, Iryna Pratsiovyta, Mykola Pratsiovytyi +1
We study properties of Bernoulli convolutions generated by the second Ostrogradsky series, i.e., probability distributions of random variables \begin{equation} ξ= \sum_{k=1}^\infty…