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Subject
News
September 25, 2026
AI Users Earn Up to 41.8% More Than Non-Users
Research conducted by economists at HSE University has revealed a significant correlation between the regular use of GenAI in the workplace and higher pay among Russian employees. The study found that individuals who frequently use GenAI in their professional activities earn notably more than those who reject these new tools or resort to them occasionally. The salary premium for highly qualified specialists reaches 41.8%. The article was published in the Voprosy Ekonomiki journal.
September 24, 2026
‘Feedback and Constructive Criticism Are Essential in Our Profession
Vincent Fardeau, Associate Professor at HSE ICEF, has reached a major career milestone: he recently published his paper ‘Asymmetric Thin Markets’ in the Journal of Financial Economics, successfully passed his major academic review, and received tenure. In this interview, Vincent discusses the story behind the paper, explains the concept of asymmetric thin markets, and shares his advice for young scholars aiming to publish in top-tier journals.
September 22, 2026
Personal Interest in Doctoral Thesis Topic Most Important for Confidence in Successful Defence
A researcher at HSE University analysed data on 1,539 doctoral students from 161 Russian universities to identify which features of a thesis topic are associated with academic success and engagement. The most important factor was found to be personal interest in the research topic, which was associated with almost all key aspects of doctoral programme experience—from engaging with the academic supervisor to research activity and confidence about successfully defending the thesis. The findings have been published in Higher Education.

 

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Современные методы теории краевых задач

M. : Max press, 2018.
Chapters
Об асимптотических решениях двумерных уравнений типа Хартри, локализованных вблизи отрезков
А.В. Перескоков, В кн.: Современные методы теории краевых задач.: М.: МАКС Пресс, 2018. С. 170–171.
В работе найдены асимптотические решения двумерных уравнений типа Хартри, локализованные вблизи отрезков. ...
Added: December 15, 2023
Research target: Mathematics
Language: Russian
Full text
Keywords: функциональный анализfunctional analysistheory of functionsтеория функций
Современные методы теории краевых задач
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We investigate how stochastic Poisson impulsive forcing influences the spatiotemporal dynamics of a two-dimensional network of Hindmarsh–Rose neurons. Unlike continuous noise, impulsive forcing introduces discrete, state-dependent perturbations, making the system response highly sensitive to both the statistics and the spatial structure of the input. In most of the parameter space, stochastic impulses destabilize the initial ...
Added: September 24, 2026
Pairings on the algebra of Laurent series over a ring
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We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Vector systems of Painlevé type
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The group reduction procedure is applied to vector generalizations of the NLS, mKdV, and KdV equations. The resulting ODE systems admit isomonodromic Lax representations and are multicomponent generalizations of the Painlevé equations P 1, P 2, P 34, and P 4. Some of them can be interpreted as nonautonomous deformations of well-known systems integrable in the Liouville sense, in ...
Added: September 24, 2026
ON VECTOR SCHWARZ — KdV EQUATION
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A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We provide them for the Schwarz — KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial found fact, no mathematical explanation of which is known yet. ...
Added: September 24, 2026
Lorentzian Principal Bundles with Compact Structure Groups and Causal Properties
Yakovlev E., Maksimov D. A., Mathematical notes 2026 Vol. 120 No. 3 P. 483–496
Smooth principal bundles whose total spaces and bases are time oriented Lorentzian manifolds and whose projections are Lorentzian submersions preserving time orientations are studied. Previously, the authors showed that the chronologicity, causality, and stable causality always lift from the base to the space of a Lorentzian bundle. For strong causality and global hyperbolicity, this holds ...
Added: September 24, 2026
Novikov equations for commuting differential operators of orders 3,4,5
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We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations ...
Added: September 24, 2026
Hadrons in N=2 supersymmetric QCD from non-Abelian string on 2D black hole
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We continue the study of non-Abelian vortex string in 4D N ¼ 2 supersymmetric QCD (SQCD) as critical superstring, and extend this analysis to UðNÞ gauge theory with arbitrary even N and Nf ¼ 2N number of quarks. We introduce a special mass deformation and show that the SQCD hadron spectrum is still given by ...
Added: September 24, 2026
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Added: September 24, 2026
An Asymptotic Version of the Parametrix Method for Markov Chains Converging to Diffusions
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The paper provides a generalization of the local limit theorem on the convergence of inhomogeneous Markov chains to the diffusion limit for the case in which the corresponding coefficients of the process satisfy weak regularity conditions and coincide only asymptotically. In particular, the drift coefficients under consideration can be unbounded with at most linear growth, and the bounds reflect ...
Added: September 24, 2026
Iterative construction of the R-matrices in arbitrary dimensions
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We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter. By analyzing the ...
Added: September 24, 2026
Обобщение пространства Фока
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В данной статье введены обобщённые пространства Фока и рассмотрены основные свойства этих пространств. Найдена операция, сопряженная к операции умножения на переменную в обобщенном пространстве Фока. Также определены собственные функции сопряженного оператора. Изучены обобщенное преобразование Лапласа и задача построения базиса для введенных пространств. ...
Added: September 21, 2026
Segmentation of the Iris and Pupil of the Human Eye in Images from an Infrared Camera
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Tasks related to the automation of medical data processing are becoming more urgent. Particular attention is paid to systems for monitoring and analyzing human physiological parameters. Such systems often use specialized sensors to capture biomedical images, such as infrared cameras. This article describes our study of the problem of segmenting the eye pupil and iris ...
Added: September 21, 2026
A Model Based on Universal Filters for Image Color Correction
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Improving image quality is becoming an increasingly popular task, especially when working with mobile devices. One common approach to image enhancement is the use of convolutional neural networks. However, to achieve good results, such networks must be large enough, otherwise there is a risk of unwanted artifacts. In addition, large convolutional neural networks require significant ...
Added: September 21, 2026
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Added: September 21, 2026
Specialized Image Descriptors Adaptation for Polyp Recognition over Endoscopic Images
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Added: September 21, 2026
Lightweight Image Preprocessing Model for Improving Microorganism Detection in Microscopic Scenes
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This paper presents a study aimed at improving the detection quality of small-sized microorganisms under challenging microscopic conditions through the application of a lightweight combined image preprocessing model. We focused on the task of detecting diplococci in images obtained through dynamic sample microscopy. The proposed approach employs predefined filters for image preprocessing, combined with the ...
Added: September 21, 2026
Advancements in Signal, Image and Video Processing
Singapore: Springer, 2025.
Added: September 21, 2026
IDAP++: Advancing Divergence-Based Pruning via Filter-Level and Layer-Level Optimization
Aleksei Samarin, Nazarenko A., Kotenko E. et al., / Series arXiv "math". 2025. No. 2511.20141.
This paper presents a novel approach to neural network compression that addresses redundancy at both the filter and architectural levels through a unified framework grounded in information flow analysis. Building on the concept of tensor flow divergence, which quantifies how information is transformed across network layers, we develop a two-stage optimization process. The first stage ...
Added: September 21, 2026
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СПб.: Ассоциация ВУЗИЗДАТ, 2025.
В сборник включены статьи, раскрывающие возможные пути решения актуальных теоретических и практических проблем методики обучения математике в средней и высшей школе, различные направления модернизации отечественного математического образования и описывающие ряд актуальных результатов, полученных в различных областях математики. ...
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Воронеж: Издательский дом ВГУ, 2023.
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Added: December 15, 2023
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Added: June 20, 2023
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Воронеж: Издательский дом ВГУ, 2023.
В сборнике представлены материалы докладов и лекций, включенных в программу Воронежской зимней математической школы, проводимой Воронежским госуниверситетом совместно с Московским государственным университетом им. М. В. Ломоносова и Математическим институтом им. В. А. Стеклова РАН. Тематика охватывает широкий спектр проблем теории функций и функционального анализа, качественной и спектральной теории дифференциальных уравнений, оптимального граничного управления, математического моделирования ...
Added: June 4, 2023
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Воронеж: Издательский дом ВГУ, 2021.
В сборнике представлены материалы докладов и лекций, включенных в программу Воронежской зимней математической школы, проводимой Воронежским госуниверситетом совместно с Московским государственным университетом им. М. В. Ломоносова и Математическим институтом им. В. А. Стеклова РАН. Тематика охватывает широкий спектр проблем теории функций и функционального анализа, качественной и спектральной теории дифференциальных уравнений, оптимального граничного управления, математического моделирования и ...
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