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A uniqueness theorem in the inverse problem for the integrodifferential electrodynamics equations
Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций"). 2012. Vol. 6. No. 4. P. 460–468.
Romanov V. G., Nazarov A.
Under study is the problem of finding the kernel and the index of dielectric permeability for the system of integrodifferential electrodynamics equations with wave dispersion. We consider a direct problem in which the external pulse current is a dipole located at a point y on the boundary ∂B of the unit ball B. The point y runs over the whole boundary and is a parameter of the problem. The information available about the solution to the direct problem is the trace on ∂B of the solution to the Cauchy problem given for the times close to the time when a wave from the dipole source arrives at a point x. The main result of the article consists in obtaining some theorems related to the uniqueness problems for a solution to the inverse problem.
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Chernyshov D., Satanin A., Shchur L., / Series arXiv "math". 2025.
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...
Added: November 21, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Azat F. Aminov, Alexey A. Sokolik, Optics Letters 2025 Vol. 50 No. 11 P. 3728–3731
Surface plasmons or phonons propagating on a two-dimensional (2D) material can exhibit coupling with resonant excitations in its substrate, and the resulting coupled modes were extensively studied. Similar coupling of edge modes propagating along a boundary of the 2D material with substrate excitations remains unexplored. This paper aims to bridge this gap by investigating the ...
Added: September 16, 2025
Бабурина Е. А., Mitin I., Mikhaylov A. et al., Городские исследования и практики 2024 Т. 9 № 1 С. 34–54
Local identity of Basmanny district in Moscow is studies in the article. It is understood through the multiplicity of interconnected unique images of this urban territory. Taken together they create the mechanism of self-identification of local residents with their signified and conceived place.
The central location of Basmanny and its historical environment paradoxically raise the question ...
Added: May 30, 2024
Belomestny D., Morozova E., Panov V., / Series arXiv.org "math.ST". 2024. No. 2405.05419.
This study focuses on statistical inference for compound models of the form \(X=\xi_1+\ldots+\xi_N\), where \(N\) is a random variable denoting the count of summands, which are independent and identically distributed (i.i.d.) random variables \(\xi_1, \xi_2, \ldots\). The paper addresses the problem of reconstructing the distribution of \(\xi\) from observed samples of \(X\)'s distribution, a process ...
Added: May 10, 2024
IEEE, 2023.
The IEEE Russia North West Section and Saint Petersburg Electrotechnical University “LETI” (SPbETU “LETI”) are pleased to present the Proceedings of the 2023 Seminar on Networks, Circuits and Systems.
The Seminar will cover a broad area of issues related to computer and communication networks and systems, design and application of electronic components and devices, computer systems engineering and theory. ...
Added: February 10, 2024
Yurin A., Вишняков Г. Н., Minaev V., Компьютерная оптика 2024 Т. 48 № 2 С. 225–230
Dispersion characteristics of optical glass are considered. An approach to research of dispersion characteristics of optical glass is proposed, requiring the measurement of the refractive index at only three wavelengths, which simplifies the measurement process compared with the use of the widely used Sellmeier equation. An approximation function for the refractive index of optical glass ...
Added: January 2, 2024
Fedotov M., В кн.: Сборник научных статей учеников и коллег к 90-летию профессора Э.П. Гаврилова.: Томск: Томский государственный университет, 2023. С. 211–224.
In the article, the author formulates general provisions regarding authorship as a creative activity, the result of which is protected by intellectual property rights. The role of the author in the creation of works of science, literature and art, inventions and other results of creative activity, as well as means of individualization is revealed. The ...
Added: December 28, 2023
Vishnyakov G., Yurin A., Minaev V. et al., Metrologia 2023 Vol. 60 No. 4 Article 045007
We present a method for measuring the refractive index (RI) and spectral characteristics of transparent triangular prisms based on the minimum deviation technique. The proposed method has been developed to automatically measure RI simultaneously for three different wavelengths to determine the spectral dependence of RI. A high precision dynamic goniometer with a He-Ne ring laser ...
Added: June 28, 2023
Terskova M., Agadullina E., Psychology in Russia: State of the Art 2022 Vol. 15 No. 1 P. 179–192
Background. Infrahumanization is a result of group comparison when the
ingroup is considered as fully human in comparison to an outgroup that is
viewed as lacking humanness and similar to animals. Infrahumanization
theory proposed that the attribution of emotions to ingroups and outgroups is based on their uniqueness, regardless of the valence of these
emotions. Since the valence of ...
Added: April 7, 2022
Mikhailov S., В кн.: Малые языки в большой лингвистикеВып. 3.: М.: Буки Веди, 2021. С. 106–117.
This paper argues that there are at least two adnominal possessive contructions in the Kazym dialect of Northern Khanty, both of which are exponed by the same set of suffixes. The arguments for this view include the (un)availability of explicit possessor mention, the presence of a uniqueness requirement, and the availability of context-dependent associative possessive ...
Added: December 29, 2021
Yelizarov (Elizarov) A. A., Nazarov I., Skuridin A. et al., , in: 2020 International Conference on Actual Problems of Electron Devices Engineering (APEDE’ 2020). MATERIALS OF THE INTERNATIONAL SCIENTIFIC AND TECHNICAL CONFERENCE. Saratov. September 24-25, 2020.: IEEE, 2020. P. 175–179.
Added: October 21, 2020
IEEE, 2020.
The reports of the scientific and technical conference reflected the results of theoretical and experimental research in the field of electrodynamics and microwave technology, microwave electronics, nanoelectronics, power electronics, semiconductor electronics, electric power engineering, systems of measuring and medical technology.The results of the study of resonator and slowing down systems, microwave devices, devices for vacuum, ...
Added: October 21, 2020
Galkina E. G., Lerman L., Zaspel C. E. et al., JETP Letters 2019 Vol. 110 No. 7 P. 481–486
The motion of domain walls in GdFeCo-type ferrimagnets near the point of compensation of sublattice spins s1 and s2, when the effects of the exchange increase in the limiting wall velocity take place, is theoretically studied. The energy E and momentum P of the wall are determined and the dispersion relation E = E(P) is derived. It is found that some walls become unstable at ...
Added: March 12, 2020
Pchelnikov Y., Yelizarov (Elizarov) A. A., IEEE Transactions on Electron Devices 2020 Vol. 67 No. 3 P. 1165–1170
We present the sensor with a sensitive element (SE) based on coupled radial spirals, which can be used for monitoring technological processes in the Electronic Industry, as well as for detecting damages on the pipelines under protective coatings. The main properties and characteristics of such SE are analyzed and measured.
It is shown that the concentration ...
Added: March 4, 2020