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News
October 1, 2026
HSE Researchers Show How Congenital Motor Disorders Affect Brain Development
Researchers from HSE University’s Institute for Cognitive Neuroscience have synthesised the findings of their previous studies on brain development in children with obstetric brachial plexus palsy and arthrogryposis. Their analysis shows that impaired motor function in early childhood not only limits children’s motor experience but also affects memory, categorical thinking, and information processing. The study has been published in Frontiers in Psychology.
October 1, 2026
Window into the Body: Scientists Develop Neural Network to Detect Risk of 15 Diseases from Retinal Images
Russian universities, with the participation of HSE University, Sber, and Z-union, have developed a neural network that can simultaneously assess the risk of 15 types of pathology from retinal photographs, including not only eye diseases but also cardiovascular conditions. The AI system can help clinicians detect potentially concerning changes at an early stage, identify signs reflecting the condition of retinal blood vessels, and determine whether a patient may need further examination. The paper has been published in Frontiers in Medicine.
September 30, 2026
'We Did Not Limit the Time for Questions'
The International Laboratory for Supercomputer Atomistic Modelling and Multi-Scale Analysis at HSE University held a major conference on molecular dynamics. Participants had the opportunity to attend all the presentations, while speakers were given as much time as they needed to answer questions. The HSE News Service interviewed Grigory Smirnov, Head of the Laboratory, and Genri Norman, Chief Research Fellow, about the conference preparations and the discussions it generated.

 

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Минимаксный подход к играм среднего поля

Математический сборник. 2015. Т. 206. № 7. С. 3–32.
Averboukh Y.
Priority areas: mathematics
Language: Russian
DOI
Keywords: равновесие по Нэшуигры среднего поляуравнение типа Гамильтона–Якобиминимаксное решениеигра бесконечного числа игроков
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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
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
On static manifolds with boundary admitting a nowhere-vanishing static potential
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We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
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B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
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Infinitely many graph manifolds with unique geometrical piece that admit arbitrarily many Anosov flows
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Added: August 31, 2026
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On Arithmetic Mirror Symmetry for smooth Fano fourfolds
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On weak solutions to the 1d compressible Navier-Stokes equations: a Lipschitz continuous dependence on data in weaker norms and an error of their homogenization
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We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$,  on the initial data $(\eta^0,u^0,e^0)$ in a ...
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On the dimension of the space of static potentials on three-manifolds
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We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
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Using predefined vector systems to speed up neural network multimillion class classification
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
Многошаговая модель использования возобновляемого ресурса игроками двух типов
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The paper examines an infinite-horizon multistage game of renewable resource extraction with two types of players, differing in the discount rates of future payoffs. Using the dynamic programming method, a non-cooperative solution - a subgame perfect Nash equilibrium in stationary positional strategies, as well as a cooperative (Paretooptimal) solution for the case of complete cooperation ...
Added: April 12, 2024
Противодействие аристотелизму в еврейской культуре: конфликт вокруг произведений Маймонида в XIII в. с точки зрения теории игр
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The Maimonidean Controversy at the beginning of the 13th century was one of the most significant conflicts in the midst of the Jewish diasporas in the Middle Ages. The conflict followed a vivid discussion on the treatises of Maimonides and the interpretation of Judaism in the light of Aristotelian philosophy. Almost all of major Jewish ...
Added: March 27, 2021
Универсальные равновесия по Нэшу в дифференциальных играх многих лиц
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В работе рассматриваются дифференциальные игры конечного числа лиц в классе стратегий с поводырем, предложенных Н. Н. Красовским и А. И. Субботиным. Строится набор стратегий, обеспечивающий равновесие по Нэшу в любой начальной позиции из заданного компакта. Конструкция решения основана на многозначной функции, удовлетворяющей некоторым условиям стабильности. Доказано существование функции цены. ...
Added: April 22, 2020
Игры среднего поля первого порядка. Основные подходы
Averboukh Y., В кн.: CEUR Workshop Proceedings. Vol. 1662Vol. 1662.: Ekaterinburg: [б.и.], 2016. С. 42–61.
Настоящий обзор представляет собой попытку дать описание основных направлений и результатов игр среднего поля первого порядка для русскоязычного читателя. В настоящей работе отражены основные теоретические результаты игр среднего поля первого порядка (т.е. игр среднего поля с динамикой, задаваемой обыкновенным дифференциальным уравнением). Кроме того, рассмотрена модель энергетических сетей, формализуемая в рамках теории игр среднего поля первого ...
Added: April 22, 2020
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Pankratova Y., Petrosyan L., В кн.: Lecture Notes in Computer ScienceVol. 11548.: Springer, 2019. С. 685–696.
In the paper, a two-level infinitely repeated hierarchical game with one player (center) C0 on the first level and S1...Sn subordinate players on the second is considered. On each stage of the game player C0 selects vector x=(x1....xn) from a given set X, in which each component represents a vector of resources delivered by C0 to one of the ...
Added: October 26, 2019
Corruption and botnet defense: a mean field game approach
Kolokoltsov V., Malafeyev O., International Journal of Game Theory 2018 Vol. 47 P. 977–999
Recently developed toy models for the mean-field games of corruption and botnet defence in cyber-security with three or four states of agents are extended to a more general mean-field-game model with 2d states, d ∈ N. In order to tackle new technical difficulties arising from a larger state-space we introduce new asymptotic regimes, namely small discount and small interaction ...
Added: December 12, 2018
Модель многошаговых игр с учетом времени реализации альтернативы
Petrosian O., Математическая теория игр и ее приложения 2015 Т. 7 № 2 С. 49–68
Рассмотрена новая модель многошаговых игр с полной информацией, в которой у игроков есть возможность управлять временем для принятия решения. На каждом шаге игры игроки выбирают одну из конечного числа альтернатив и время, которое им потребуется для ее выполнения. Выигрыши игроков зависят от траектории, образованной выбором альтернатив и времени затраченного игроками для ее выполнения на каждом ...
Added: November 24, 2017
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