32 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
15 papers
Molecular Weight Distribution Modeling in Step Growth Polymerization of Oligomers
Serhii Kondratov
An approach to modeling the oligomer composition distribution function in the irreversible step growth homopolymerization process based on a mixture of oligomers of arbitrary compo…
Everything is possible for the domain intersection dom T \cap dom T*
Yury Arlinskii, Christiane Tretter
This paper shows that for the domain intersection $\dom T\cap\dom T^*$ of a closed linear operator and its Hilbert space adjoint everything is possible for very common classes of o…
Transformation of the singular skeleton in optical-vortex beams diffracted by a rectilinear phase step
Aleksandr Bekshaev, Anna Khoroshun, Lidiya Mikhaylovskaya
Based on the Kirchhoff-Fresnel approximation, we numerically analyze spatial characteristics of the light field formed after a circular Laguerre-Gaussian beam with a single-charged…
Searching isomorphic graphs
Anatoly D. Plotnikov
To determine that two given undirected graphs are isomorphic, we construct for them auxiliary graphs, using the breadth-first search. This makes capability to position vertices in…
Singular skeleton evolution and topological reactions in edge-diffracted circular optical-vortex beams
Aleksandr Bekshaev, Aleksey Chernykh, Anna Khoroshun +1
Edge diffraction of a circular optical vortex (OV) beam transforms its singular structure: a multicharged axial OV splits into the set of single-charged ones that form the 'singula…
Displacements and evolution of optical vortices in edge-diffracted Laguerre-Gaussian beams
Aleksandr Bekshaev, Aleksey Chernykh, Anna Khoroshun +1
Based on the Kirchhoff-Fresnel approximation, we consider behavior of the optical vortices (OV) upon propagation of the diffracted Laguerre-Gaussian (LG) beams with topological cha…
Evolution of the phase singularities in edge-diffracted optical-vortex beams
Aleksandr Bekshaev, Lidiya Mikhaylovskaya, Aleksey Chernykh +1
We study, both theoretically and by experiment, migration of the amplitude zeros within a fixed cross section of the edge-diffracted optical-vortex beam, when the screen edge perfo…
Localization and migration of phase singularities in the edge-diffracted optical-vortex beams
Aleksandr Bekshaev, Aleksey Chernykh, Anna Khoroshun +1
When a circularly-symmetric light beam with optical vortex (OV) diffracts at an opaque screen with the sharp edge, the OV core is displaced from the beam axis and, in case of the m…
On the mappings connected with parallel addition of nonnegative operators
Yu. M. Arlinskiĭ
We study a mapping of the cone of bounded nonnegative self-adjoint operators in a complex Hilbert space into itself. This mapping…
On m-sectorial extensions of sectorial operators
Yu. M. Arlinskiĭ, A. B. Popov
In our article [15] description in terms of abstract boundary conditions of all -accretive extensions and their resolvents of a closed densely defined sectorial operator hav…
On the structure of the class NP
Anatoly D. Plotnikov
A new class UF of problems is introduced, strictly included in the class NP, which arises in the analysis of the time verifying the intermediate results of computations. The implic…
Ethanol reforming in non-equilibrium plasma of glow discharge
D. Levko, A. Tsymbalyuk
The results of a detailed kinetic study of the main plasma chemical processes in non-equilibrium ethanol/argon plasma are presented. It is shown that at the beginning of the discha…
About set-theoretic properties of one-way functions
Anatoly D. Plotnikov
We investigate the problem of cryptanalysis as a problem belonging to the class NP. A class of problems UF is defined for which the time constructing any feasible solution is polyn…
On the relationship between classes P and NP
Anatoly D. Plotnikov
In this paper we discusses the relationship between the known classes P and NP. We show that the difficulties in solving problem "P versus NP" have methodological in nature. An alg…
Schur parameters, Toeplitz matrices, and Kre\uın shorted operators
Yury Arlinskii
We establish connections between Schur parameters of the Schur class operator-valued functions, the corresponding simple conservative realizations, lower triangular Toeplitz matric…