Plenary Session
Pólya's method to construct Voronoi diagrams | |
Rikard Bøgvad |
On fractal faithfulness of Vitali coverings, DP-transformations and fractal properties of singular measures | |
Grygoriy Torbin |
Section 1: Number Theory
$p$-adic $L$-functions and $p$-adic (multiple) zeta values | |
Nikolaj Glazunov |
Specials values of some partial twisted zeta functions associated to polynomials | |
Christoper Jesus Salinas Zavala |
The investigation of Euler's totient function preimages | |
Ruslan Skuratovskii, Dmitriy Rudenko |
Section 3a: Voronoi Diagrams. Theoretical Aspects
Fill the space by convex polyhedra | |
Anatoliy Turbin |
Section 4: Fractal Analysis and Fractal Geometry
Analysis of fractional-differential models of the solutions dynamics in inhomogeneous media | |
Kateryna Bozhonok, Valentyn Bilenko, Svitlana Dzyadyk |
Continuous transformations preserving tails of an $A$-continued fraction representation of numbers | |
Artem Chuikov, Mykola Pratsiovytyi |
On faithfulness of fine covering families generated by $I$-$Q_\infty$-representation | |
Iryna Harko, Grygoriy Torbin |
Functions generated by the Lüroth series and some of their properties | |
Yevheniia Kalashnikova |
Lebesgue structure of asymmetric Bernoulli convolutions based on Jacobsthal–Lucas sequence | |
Dmytro Karvatsky |
On fractal properties of probability measures generated by ML-expansions | |
Maryna Lupain |
Cantorvals and incomplete sums of positive series | |
Vita Markitan, Ihor Savchenko |
Essentially non-normal numbers for Cantor series expansions | |
Roman Nikiforov |
Cantor type functions that have not monotonicity intervals except for constancy intervals | |
Mykola Pratsiovytyi, Olga Svynchuk |
Hausdorff dimension of the probability measure with independent $Q_\infty$-symbols | |
Olena Smiian |
On problem of singularity of distributions with independent symbols of $F$-expansion | |
Liliia Sydoruk |
Structural and self-similar properties of representatives of one class of fractal functions and distributions of their values | |
Sofiia Ratushniak |
On metric and dimensional theories of ICS-expansions | |
Olha Vaskova, Grygoriy Torbin |
Poster Session
On geometric Cantor series expansions and fractal properties of related probability measures | |
Nadiya Balytska, Grygoriy Torbin |
Representation of real numbers in Cantor system related to binary series and Fibonacci sequence | |
Olga Bondarenko |
On new phenomena related to fractal properties of infinite Bernoulli convolutions with essential overlaps | |
Ganna Ivanenko, Grygoriy Torbin |
The distributions of values of functions of the Cantor type related to Ostrogradsky and Sylvester series | |
Iryna Lysenko, Yanina Goncharenko, Mykola Pratsiovytyi |
A generalization of the Walsh series by means of $Q_2$-representation of real numbers | |
Mykola Pratsiovytyi, Julia Maslova |
Fractal properties of one class of nonmonotonic singular functions of Cantor's type | |
Svitlana Vaskevych |
Properties of the family of continuous functions preserving a $Q_s$-digit with accumulation | |
Natalya Vasylenko, Irina Zamriy |
On the natural analogues of two classical Weyl’s theorems | |
Mark Zeldich |
Round Table
The dynamic complexity paradigm of large distributed systems and Voronoi lattices | |
Vladimir Saptsin |
G. F. Voronoy’s creativity in scientific issues of his followers and destinies of descendants | |
Iryna Voronaya, Vladimir Saptsin |