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Subject
News
June 19, 2026
HSE Researchers Determine Which Internet Users Are More Likely to Fact-Check
Researchers at HSE University examined the strategies employed by Russian internet users to verify unreliable information and the factors that motivate them to do so. The study found that more than half of users who encounter potentially false information online attempt to verify it by locating the original source. The likelihood of fact-checking is influenced by several factors, including age, place of residence, social status, information literacy skills, and the use of AI. The findings have been published in Monitoring of Public Opinion: Economic and Social Changes.
June 5, 2026
'Im Used to Producing Distilled Knowledge'
Ivan Rubachev works in a HSE University laboratory established jointly with Yandex Research, where he focuses on machine learning with tabular data. In this interview with the HSE Young Scientists project, he discusses why following a vibe can be better than goal-setting, explains the concept of the Neural Turing Machine, and argues why withholding scientific knowledge is counterproductive.
June 17, 2026
Population Lifespan Is Governed by Mathematical Laws
Researchers at HSE University and MSU have established a universal law governing the time to extinction of a population in a random environment. Their analysis of the evolution of branching processes—complex probabilistic systems—shows that, regardless of the initial population size, extinction follows strict mathematical laws. The results have been published in the Journal of Applied Probability.

 

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Об асимптотике спектра атома водорода в магнитном поле вблизи границ спектральных кластеров

Наноструктуры. Математическая физика и моделирование. 2013. Т. 8. № 1. С. 65–84.
Pereskokov A.
Research target: Mathematics
Language: Russian
Keywords: спектральная асимптотикаоператорный метод усредненияВКБ-приближениеточка поворотакогерентные состояния
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We give a natural definition of open Hurwitz numbers, where the weight of each ramified covering includes an integer parameter N taken to the power that is equal to the number of boundary components of a Riemann surface with boundary mapping to . We prove that the resulting sequence of partition functions, depending on , is a tau-sequence of ...
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Bihamiltonian structure of the DR hierarchy in the semisimple case
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Of the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using the geometry of the double ramification (DR) cycle, the second has the advantage of being very explicit. The Poisson operator of the DR hierarchy is , where  is the metric ...
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Advances in Information Retrieval: 48th European Conference on Information Retrieval, ECIR 2026, Delft, The Netherlands, March 29 – April 2, 2026, Proceedings, Part II. (LNCS, volume 16484)
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Искусственный интеллект как роза научной деятельности: исследование Тимоти Гауэрса
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В научно-популярной заметке представлен обзор содержания поста филдсовского медалиста Тимоти Гауэрса о возможностях ИИ в математике и содержания комментариев под постом. Обзор сделан в основном чат-ботом DeepSeek. В заключение обсуждается возможность не только решения задач искусственным интеллектом, но и их постановки. ...
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Optimal Extraction with an Impact on Diffusion-Jump Pricing
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Wave dynamics within the Whitham-Ostrovsky equation
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Asymptotics of eigenfunctions of perturbed resonance oscillator near upper boundaries of spectral clusters
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Added: December 15, 2023
Регуляризация и квазиклассическое приближение в задаче о спектре атома водорода в магнитном поле
Перескоков А.В., В кн.: НЕКОТОРЫЕ ПРОБЛЕМЫ ТЕОРИИ ВОЗМУЩЕНИЙ И МЕТОД РЕГУЛЯРИЗАЦИИ.: М.: Издательство МЭИ, 2023. С. 55–72 .
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Суперпозиции когерентных состояний, определяемые суммами Гаусса
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Асимптотика спектра двумерного оператора Хартри вблизи локального максимума собственных значений в спектральном кластере
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Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the lower boundaries of spectral clusters
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We study the Zeeman–Stark effect problem in the hydrogen atom located in an electromagnetic field by using irreducible representations of the Karasev–Novikova algebra with quadratic commutation relations. We find asymptotics of a series of eigenvalues and the corresponding eigenfunctions near the lower boundaries of spectral clusters. ...
Added: December 6, 2021
Semiclassical Approximation for the Curie – Weiss Model
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The paper is devoted to the construction of spectral series and the estimation of the approximation accuracy for the operator of the Curie – Weiss model. In the course of work, the operator is reduced to a tridiagonal form in the subspace of the original space, then to a secondorder difference equation. The admissibility of ...
Added: June 9, 2021
Schmidt-mode analysis of quadrature entanglement in superpositions of two-mode multiphoton states
M V Fedorov, Physica Scripta 2020 Vol. 95 No. 6 Article 064001
Schmidt-decomposition formalism is proposed to be used for evaluation of the degree of quadrature entanglement in two-mode multiphoton states. A series of examples are considered, including analysis of the quadrature entanglement of the two-mode squeezed vacuum. Singlemode and two-mode coherent states with stochastic phases are analyzed by the same method though in this case features of quadrature states are ...
Added: April 6, 2021
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster
A. V. Pereskokov, Theoretical and Mathematical Physics 2020 Vol. 205 No. 3 P. 1652–1665
We consider the eigenvalue problem for the two-dimensional Hartree operator with a small nonlinearity coefficient. We find the asymptotic eigenvalues and asymptotic eigenfunctions near a local maximum of the eigenvalues in spectral clusters formed near the eigenvalues of the unperturbed operator. ...
Added: December 7, 2020
Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the upper boundaries of spectral clusters
Migaeva A. S., Pereskokov A., Journal of Mathematical Sciences 2020 Vol. 251 No. 6 P. 850–875
We study the Zeeman-Stark effect in the hydrogen atom located in an electromagnetic field by using irreducible representations of an algebra with the Karasev-Novikova quadratic commutation relations. The representations are associated with resonance spectral clusters near the energy level of the unperturbed hydrogen atom. We find asymptotics for a series of eigenvalues and corresponding asymptotic eigenfunctions near the ...
Added: December 7, 2020
Asymptotics of the Spectrum and Quantum Averages of a Hartree Type Operator Near the Lower Boundaries of Spectral Clusters
Vakhrameeva D. A., Pereskokov A. V., Journal of Mathematical Sciences 2020 Vol. 247 No. 6 P. 820–849
We study the spectral problem for a two-dimensional Hartree type operator with smooth selfaction potential. We find asymptotic eigenvalues and eigenfunctions and construct an asymptotic expansion for quantum averages near the lower boundaries of spectral clusters. ...
Added: June 22, 2020
On the Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields Near the Upper Boundaries of Spectral Clusters
A. V. Pereskokov, Russian Journal of Mathematical Physics 2019 Vol. 26 No. 3 P. 391–400
The problem of the Zeemann–Stark effect for the hydrogen atom in electromagnetic fields is considered using the irreducible representations of the Karasev–Novikova algebra with quadratic commutation relations. An asymptotics of the series of eigenvalues and the asymptotic eigenfunctions are obtained near the upper boundaries of resonance spectral clusters which are formed near the energy levels of an unperturbed hydrogen ...
Added: November 16, 2019
Метод фазовых интегралов в одной задаче сингулярной теории возмущений
Степин С. А., Fufaev V., Известия РАН. Серия математическая 2017 Т. 81 № 2 С. 129–160
This paper is devoted to the development of the phase-integral method as applied to a boundary-value problem modelling the passage from discrete to continuous spectrum in the non- selfadjoint case. Our aim is to study the patterns and features of the asymptotic distribution of eigenvalues of the problem and to describe the topologically distinct types ...
Added: October 31, 2019
Algebra of Symmetries of Three-Frequency Hyperbolic Resonance
Novikova E., Mathematical notes 2019 Vol. 106 No. 6 P. 940–956
The algebra of symmetries of the quantum three-frequency hyperbolic resonance oscillator is studied. It is shown that this algebra is determined by a nite set of generators with polynomial commutation relations. The irreducible representations of this algebra and the corresponding coherent states are constructed. ...
Added: October 28, 2019
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