Dragomanov Ukrainian State University

output

20092026

most citedNorm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

20 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

22 papers

math.FA2026

A Continuous digit projector from binary representations of numbers onto $A_{2}$ -representation

O. O. Nikorak, S. P. Ratushniak

As is known, the $A_{2}$ -continued representation of numbers is not topologically equivalent to the classical binary representation; therefore, the digit projector of such representa…

math.NT2026★ 1 cited

One continuum class of fractal functions defined in terms of $Q_{s}^{*}$ -representation

V. V. Nazarchuk, S. O. Vaskevych, S. P. Ratushniak

In the paper we study a class $F$ of multiparameter functions defined in terms of a polybasic $s$ -adic $Q_{s}^{*}$ -representation of numbers by \begin{equation*} f_a\bigl(x=Δ^{Q^{*…

math.NT2026

Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits

S. O. Klymchuk, O. P. Makarchuk, M. V. Pratsiovytyi

We study the relationship between the frequency of a ternary digit in a number and the asymptotic mean value of the digits. The conditions for the existence of the asymptotic mean…

math.NT2026★ 1 cited

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

Mykola Pratsiovytyi, Oleh Vynnyshyn

In this work, we study a numeral system with a natural base $s \geq 2$ and a redundant alphabet $A_{r} = {0, 1, \dots, r}$ , where $s \leq r \leq 2 s - 2$ . We investigate the topological,…

math-ph2024

Finite difference calculus in the continuum

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1

The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…

math.PR2020★ 7 cited

Perpetual Integral Functionals of Multidimensional Stochastic Processes

Yuri Kondratiev, Yuliya Mishura, José L. da Silva

The paper is devoted to the existence of integral functionals $\int_{0}^{\infty} f (X (t)) d t$ for several classes of processes in $R$ with $d \geq 3$ . Some examples s…

math.PR2020★ 2 cited

Random potentials for Markov processes

Yuri Kondratiev, José L. da Silva

The paper is devoted to the integral functionals $\int_{0}^{\infty} f (X_{t}) d t$ of Markov processes in $\X$ in the case $d \geq 3$ . It is established that such functionals can…

math.PR2020

Asymptotic Behavior of the Subordinated Traveling Waves

Yuri Kondratiev, José Luís da Silva

In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller--Karamata Tauberian…

math-ph2019★ 18 cited

Heat Kernel Estimates for Fractional Heat Equation

Anatoly N. Kochubei, Yuri G. Kondratiev, José L. da Silva

We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and othe…

math.PR2018★ 11 cited

From Random Times to Fractional Kinetics

Anatoly N. Kochubei, Yuri Kondratiev, José Luís da Silva

In this paper we study the effect of the subordination by a general random time-change to the solution of a model on spatial ecology in terms of its evolution density. In particula…

math.SP2017★ 11 cited

Functional model for extensions of symmetric operators and applications to scattering theory

Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva

On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equa…

math.PR2016★ 1 cited

On spectra of probability measures generated by GLS-expansions

Marina Lupain

We study properties of distributions of random variables with independent identically distributed symbols of generalized Lüroth series (GLS) expansions (the family of GLS-expansion…

math.AP2016

Coupling of symmetric operators and the third Green identity

Jussi Behrndt, Vladimir Derkach, Fritz Gesztesy +1

The principal aim of this paper is to derive an abstract form of the third Green identity associated with a proper extension $T$ of a symmetric operator $S$ in a Hilbert space $\ma…

math.PR2016★ 2 cited

On fractal faithfulness and fine fractal properties of random variables with independent $Q^{*}$ -digits

Muslem Ibragim, Grygoriy Torbin

We develop a new technique to prove the faithfulness of the Hausdorff--Besicovitch dimension calculation of the family $Φ (Q^{*})$ of cylinders generated by $Q^{*}$ -expansion of r…

math.PR2016

On packing dimension preservation by distribution functions of random variables with independent $Q ~$ -digits

Oleksandr Slutskyi

The article is devoted to finding conditions for the packing dimension preservation by distribution functions of random variables with independent $Q ~$ -digits. The notion of…

math-ph2015★ 20 cited

Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

Kirill D. Cherednichenko, Alexander V. Kiselev

We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-…

math.FA2015

On the mappings connected with parallel addition of nonnegative operators

Yu. M. Arlinskiĭ

We study a mapping $τ_{G}$ of the cone $B^{+} (H)$ of bounded nonnegative self-adjoint operators in a complex Hilbert space $H$ into itself. This mapping…

math.MG2015

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 $dim_{P}$ calculati…

math.PR2015★ 1 cited

Equilibrium diffusion on the cone of discrete Radon measures

Diana Conache, Yuri G. Kondratiev, Eugene Lytvynov

Let $K (R^{d})$ denote the cone of discrete Radon measures on $R^{d}$ . There is a natural differentiation on $K (R^{d})$ : for a differentiable funct…

math.PR2011★ 5 cited

Binary jumps in continuum. I. Equilibrium processes and their scaling limits

Dmitri L. Finkelshtein, Yuri G. Kondratiev, Oleksandr V. Kutoviy +1

Let $Γ$ denote the space of all locally finite subsets (configurations) in $R^{d}$ . A stochastic dynamics of binary jumps in continuum is a Markov process on $Γ$ in which pairs of pa…

math.HO2009★ 3 cited

Life and Times of Georgy Voronoi

Halyna Syta, Rien van de Weygaert

Georgy Theodosiyovych Voronoi (1868-1908) is famous for his seminal contributions to number theory,perhaps mostly those involving quadratic forms and Voronoi tessellations. He was…

math-ph2009★ 8 cited

On $J$ -self-adjoint extensions of the Phillips symmetric operator

S. Kuzhel, O. Shapovalova, L. Vavrykovych

$J$ -self-adjoint extensions of the Phillips symmetric operator $S$ are studied. The concepts of stable and unstable $C$ -symmetry are introduced in the extension theory framework. T…

A Continuous digit projector from binary representations of numbers onto A2​-representation

One continuum class of fractal functions defined in terms of Qs∗​-representation