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Subject
News
July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.
July 20, 2026
‘Science Is Universal-It Knows No Borders
Fuad Aleskerov, Tenured Professor and Director of the International Centre of Decision Choice and Analysis at HSE University, together with his colleagues, has developed methods of network analysis in bibliometrics that have made it possible to identify patterns in the appearance and citation of publications in academic journals, as well as their influence on each other. When one or a number of studies are frequently cited by a wide range of journals, this is an indicator that the research is of high quality. By contrast, extensive cross-citation within a limited group of journals increases the likelihood of identifying a network of predatory publications.

 

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Современные методы и проблемы теории операторов и гармонического анализа и их приложения - VI

Ростов н/Д : 2016.

The theme of the conference is related to the different areas of mathematics, especially harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis, developed intensively last decade. The relevance of this topic is related to the study of complex multiparameter objects that require, in particular, to attract operators with variable parameters and functional spaces with fractional and even variable exponents.

Chapters
Минимаксная остановка случайной последовательности
Khametov V., Yasonov E., В кн.: Современные методы и проблемы теории операторов и гармонического анализа и их приложения - VI.: Ростов н/Д: [б.и.], 2016. С. 143–144.
Предлагается минимаксный подход к решению задачи об оптимальной остановке. ...
Added: February 22, 2017
Research target: Education Mathematics
Priority areas: mathematics
Language: Russian
Full text
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Keywords: гармонический анализдифференциальные уравненияфункциональный анализdifferential equationsfunctional analysisoperator theoryharmonic analysisТеория операторовfunction theoryfractional analysisтеория функцийдробный анализ
Современные методы и проблемы теории операторов и гармонического анализа и их приложения - VI
Similar publications
From hyperbolic to complex Euler integrals
Spiridonov V. P., Belousov N. M., Sarkissian G. A., Analysis and Mathematical Physics 2026 Vol. 16 Article 96
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...
Added: August 4, 2026
Flexibility criterion for affine horospherical varieties
Gayfullin S., Kikteva V., Results in Mathematics 2026 Vol. 81 No. 5 Article 146
In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties. ...
Added: August 3, 2026
Localising Inclusion: Pre-Service Teachers' Attitudes and Conceptualisations in Germany and Russia
Iskakova B., Kleinlein E. V., Prisyazhniuk D. et al., European Journal of Education 2026 Vol. 61 No. 3 Article e70810
This study examines pre-service teachers' (PSTs) attitudes towards inclusive education in Germany and Russia and investigates how they relate to teacher training curricula and teacher educators' discourse. A mixed-methods design was used, including an online survey of PSTs (n = 460) with an open-ended question, curriculum review and exploratory interviews with university educators in both contexts. The ...
Added: August 3, 2026
О полуортогональных разложениях производных категорий диаграммных схем
Lunts V., Функциональный анализ и его приложения 2026 Т. 60 № 3 С. 127–129
Доказано, что канонические полуортогональные разложения производной категории диаграммной схемы индуцируют аналогичные разложения подкатегории совершенных комплексов. ...
Added: August 3, 2026
Mathematical methods of reinforcement learning
Belomestny D., Gasnikov A., Gladin E. et al., Russian Mathematical Surveys 2026 Vol. 81 No. 4(490) P. 3–90
Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin the design and analysis of modern algorithms in RL. We begin from Markov decision processes (MDPs) and the Bellman operators, emphasizing contraction mappings, monotonicity, and fixed-point theory that yield convergence guarantees and rates ...
Added: August 3, 2026
Sums Related to Euler's Totient Function
Radomskii A., Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147
We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
Added: July 31, 2026
Квадратичный закон взаимности и его обобщения
Абызов А. Н., Буутай П. Н., Математика и теоретические компьютерные науки 2026 Т. 4 № 2 С. 4–75
This paper is expository and methodological in nature and is devoted to the development of E.I. Zolotarev’s ideas embedded in his approach to the proof of the quadratic reciprocity law (1872). We consider extensions of Zolotarev’s approach to abstract number rings presented in the work of A. Brunyate and P.L. Clark (2015), and to finite ...
Added: July 30, 2026
Three Algorithms for Merging Hierarchical Navigable Small World Graphs
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
EEG evidence for reproducible neural states during Buddhist Highest Yoga Tantra meditation
Mikhaylets E. V., Razorenova A. М., Chernyshev V. L. et al., Scientific Reports 2026 Vol. 16 Article 23560
Meditation offers a naturalistic paradigm for studying introspection, yet the neural dynamics of advanced tantric practices remain largely unexplored. Buddhist Highest Yoga Tantra (BHYT) comprises a sequence of eight dissolution stages culminating in the “clear light” state. We recorded EEG during eyes-closed BHYT meditation performed in monasteries and hermitages (51 sessions from 36 male practitioners; ...
Added: July 29, 2026
Managerial Skills Development: Management Fighting Courses as an Efficient Training Tool
Biryuk D., Journal of Economics and Social Sciences 2019 No. 15 P. 69–71
The paper is devoted to the study of the mechanism and competencies needed for developing managerial skills through training courses on managerial struggle, which are necessary not only in the field of business and management, but also in other spheres of public life. The technology of these trainings was developed by Vladimir Tarasov. The influence ...
Added: July 29, 2026
Обучение управленческого персонала посредством тренингов по управленческой борьбе
Biryuk D., Gaudeamus Igitur 2020 № 1 С. 46–47
The article is devoted to the study of the mechanism and competencies necessary for the development of managerial skills through training courses on managerial struggle, which are necessary in the field of business and management. The article describes the impact of this technology on the development of necessary skills, as well as techniques used during ...
Added: July 29, 2026
Произведения Масси и соотношения в когомологиях алгебр Стинрода
Попеленский Ф. Ю., Математический сборник 2026 Т. 217 № 2 С. 108–153
In a recent paper Buchstaber and the author introduced a new structure on the cohomology of Hopf algebras in terms of the Buchstaber spectral sequence (Bss). We fully calculate this structure on the cohomology (known for a long time) of the important Hopf subalgebra A(1) of the classical Steenrod algebra A2. As part of a demonstration ...
Added: July 28, 2026
Сборник материалов Второго международного научно-практического форума «Преподавание арабского языка в современном мире: традиции и инновации»
Издательство Центра современных образовательных технологий, 2025.
This collection contains materials from the Second International Scientific and Practical Forum "Teaching Arabic in the Modern World: Traditions and Innovations," held on November 15-16, 2025, by the Sheikha Fatima bint Mubarak Educational Center at the E.M. Primakov Regional Gymnasium, an autonomous non-profit general education organization, in partnership with the Institute of Oriental Studies of the ...
Added: July 28, 2026
Three-dimensional magnetization textures as quaternionic functions
Metlov K., Andrei B. Bogatyrëv, Annalen der Physik 2026 Vol. 538 No. 6 Article e70234
Thanks to the recent progress in bulk full three-dimensional nanoscale magnetization distribution imaging, there is a growing interest to three-dimensional (3D) magnetization textures, promising new high information density spintronic applications. Compared to 1D domain walls or 2D magnetic vortices/skyrmions, they are a much harder challenge to represent, analyze and reason about. Here we build analytical representation for such ...
Added: July 28, 2026
Индустриальная аспирантура в России: кадры для технологического лидерства
Nefedova A., Marinina E. I., Antonova E. et al., М.: ИСИЭЗ ВШЭ, 2026.
В работе отражены результаты масштабного социологического исследования возможностей по реализации индустриальной аспирантуры, выполненного Институтом статистических исследований и экономики знаний Национального исследовательского университета «Высшая школа экономики» (ИСИЭЗ НИУ ВШЭ) при поддержке Минобрнауки России. Рассмотрена международная практика применения подобного формата подготовки научных кадров высшей квалификации. Приведены мнения представителей университетов и компаний о востребованности и перспективах индустриальной аспирантуры в нашей стране, а также суждения ...
Added: July 28, 2026
Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure
Menovshchikov A., Ukhlov A., Rendiconti del Circolo Matematico di Palermo 2026 Vol. 75 Article 91
We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues. ...
Added: July 27, 2026
On the (p,q)-Eigenvalues of the No-Flux p-Laplacian
Menovshchikov A., Journal of Mathematical Sciences 2026 Vol. 298 P. 608–618
We study the set of (p, q)-eigenvalues of the p-Laplace operator with no-flux boundary conditions. We show that this set is closed and that its smallest positive element (the first nontrivial eigenvalue) admits a variational characterization. Moreover, we establish lower bounds for this eigenvalue in cuspidal domains. ...
Added: July 27, 2026
Proceedings of the International Science Conference “Scientific research of the SCO countries: synergy and integration” - Reports in English (June 3, 2026. Beijing, PRC)
Scientific publishing house Infinity, 2026.
These Conference Proceedings combine materials of the conference – research papers and thesis reports of scientifi c workers. They examine technical, juridical and sociological aspects of research issues. Some articles deal with theoretical and methodological approaches and principles of research questions of personality professionalization. ...
Added: July 24, 2026
Студенческая вовлеченность в вузах Дальнего Востока: региональные особенности и вызовы образовательной политики
Maloshonok N., Журнал исследований социальной политики 2026 Т. 24 № 2 С. 331–352
Дальневосточный федеральный округ (ДВФО) сталкивается с дефицитом высококвалифицированных кадров, что актуализирует вопросы качества высшего образования и формирования человеческого капитала в регионе. Одним из инструментов оценки образовательной среды в международной практике выступает концепция студенческой вовлеченности, рассматриваемая как индикатор участия студентов в образовательных практиках, способствующих обучению и развитию. Цель статьи заключается в выявлении особенностей студенческой вовлеченности в вузах ДВФО и определении их значения для образовательной политики региона. ...
Added: July 23, 2026
Local Fault-Tolerant Routing in 3D Mesh NoCs using Single-Hop Rollback
Edward R. Rzaev, Aleksandr Y. Romanov, Andrey M. Sukhov, IEEE Access 2026 Vol. 14 P. 2169–3536
This work presents a hierarchy of strictly local fault-tolerant routing algorithms for 3D mesh networks-on-chip, culminating in an algorithm that combines a live-neighbor selection rule with a bounded single-hop rollback mechanism. The proposed algorithms operate exclusively on immediate neighbor information, maintain O(1) per hop complexity, and require no global topology knowledge, additional virtual channels, or ...
Added: July 23, 2026
New bound on S1× S2-setting Bell locality of a nonseparable Werner state
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a  nonseparable Werner state with a ...
Added: July 21, 2026
Creative vs Routine: потенциал спроса на высшее образование в России
Abankina I., Зиньковский К. В., Креативные индустрии 2025 Т. 1 № 1 С. 53–66
The article presents an analysis of the demand for higher education in various fields of study in the context of public policy, the study is based on data from the HSE research “Monitoring of reception quality” for 2018–2024. The article proves that higher education in the creative industries sector directly depends on the income level ...
Added: July 20, 2026
On functional equations for Chow polylogarithms
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity. To prove this, we study ...
Added: July 16, 2026
On Goncharov’s conjecture in next to Milnor degree
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
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