3 citations · 5 across the 8 of their papers we have counts for
10 papers
On singularity of distribution of random variables with independent symbols of Oppenheim expansions
Liliia Sinelnyk, Grygoriy Torbin
The paper is devoted to restricted Oppenheim expansion of real numbers (),which includes as partial cases already known Engel, Silvester and Lüroth expansions. We find conditi…
On fractal faithfulness and fine fractal properties of random variables with independent -digits
Muslem Ibragim, Grygoriy Torbin
We develop a new technique to prove the faithfulness of the Hausdorff--Besicovitch dimension calculation of the family of cylinders generated by -expansion of r…
On new fractal phenomena connected with infinite linear IFS
Sergio Albeverio, Yuri Kondratiev, Roman Nikiforov +1
We establish several new fractal and number theoretical phenomena connected with expansions which are generated by infinite linear iterated function systems. First of all we show t…
Cantor series expansions and packing dimension faithfulness
Yuri Kondratiev, Mykola Lebid, Oleksandr Slutskyi +1
The paper is devoted to the development of general theory of packing measures and dimensions via introducing the notion of <<faithfulness of a packing family for calculati…
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…