321 citations · 764 across the 67 of their papers we have counts for
3 papers · 1 filter
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…
Ostrogradsky-Sierpiński-Pierce expansion: dynamical systems, probability theory and fractal geometry points of view
Sergio Albeverio, Gregory Torbin
We establish several new probabilistic, dynamical, dimensional and number theoretical phenomena connected with Ostrogradsky-Sierpiński-Pierce expansion. First of all, we develop me…
On metric, dynamical, probabilistic and fractal phenomena connected with the second Ostrogradsky expansion
Sergio Albeverio, Iryna Pratsiovyta, Grygoriy Torbin
We consider the second Ostrogradsky expansion from the number theory, probability theory, dynamical systems and fractal geometry points of view, and establish several new phenomena…