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Владимир Андреевич Успенский (27.11.1930–27.06.2018)
Успехи математических наук. 2019. Т. 74. № 4(448). С. 165–180.
Adian S., Андреев Н. Н., Beklemishev L. D., Гончаров С. С., Ершов Ю. Л., Матиясевич Ю. В., Осипов Ю. С., Пентус М. Р., Plungian V., Rakhilina E. V., Sadovnichii V. A., Семёнов А. Л., Tatevosov S., Тихомиров В. М., Шень А. Х.
Keywords: биография ученого
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Strizhkova D., / Институт русской литературы (Пушкинский Дом) РАН. Серия B001 "Репозиторий открытых данных по русской литературе и фольклору". 2026.
В базе данных представлена роспись русскоязычных литературных произведений и отрывков, напечатанных в учебниках по словесности, хрестоматиях, книгах для чтения, сборниках стихотворений и рассказов, выходивших во Франции, Германии, Латвии, Эстонии, Болгарии, Сербии в период первой волны русской эмиграции с 1918 по 1939 гг. Датасет представляет интерес для исследователей школьного литературного канона, эмиграции и детского чтения ...
Added: April 22, 2026
Жигунов А. Ю., / Basic Research Programme. Серия HUM "Humanities". 2026. № 1.
The article attempts to describe the features of the educational potential of Russian animation programmes in aspect of the representation of traditional spiritual and moral values. Based on media and semiotic analysis, the method of cultural and historical interpretation, animated Russian projects created from 2000 to the 2025, which were translated on television channels or streaming ...
Added: April 19, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
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 ...
Added: April 18, 2026
Medvedev V., / Series arXiv "math". 2026.
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 ...
Added: April 3, 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
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 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
Gaianov N., Parusnikova A., / Cornell University. Серия math "arxiv.org". 2025.
An algebraic q-difference equation is considered. A sufficient condition for the existence of a formal power-logarithmic expansion of a solution to such an equation in the neighborhood of zero is proposed. An example of applying this sufficient condition for constructing a formal expansion of a solution to a certain q-difference analogue of the fifth Painlevé equation ...
Added: December 25, 2025
Popov V., / Series arXiv "math". 2025. No. 2502.01539.
We prove that the variety of flexes of algebraic curves
of degree 3 in the projective plane is an ideal theoretic complete
intersection in the product of a two-dimensional and a nine-dimensional projective spaces. ...
Added: December 16, 2025
Gnetov F., Konakov V., / Series arXiv "math". 2025. No. 2512.04667.
We establish a central limit theorem, a local limit theorem, and a law of large numbers for a natural
random walk on a symmetric space M of non-compact type and rank one. This class of spaces, which
includes the complex and quaternionic hyperbolic spaces and the Cayley hyperbolic plane, generalizes
the real hyperbolic space Hn. Our approach introduces ...
Added: December 5, 2025
Kazakov A., Koryakin V., Safonov K. et al., / Series arXiv "math". 2025.
The Lorenz attractor is the first example of a robustly chaotic non-hyperbolic attractor. Each orbit of such an attractor has a positive top Lyapunov exponent, and this property persists under small perturbations despite possible bifurcations of the attractor. In this paper, we study the boundary of the Lorenz attractor existence region in the Shimizu-Morioka model. ...
Added: December 4, 2025
Bitter I., Konakov V., / Cornell University. Серия arXiv "math". 2025. № 2505.24548.
В работе приводится обобщение локальной предельной теоремы о сходимости неоднородных цепей Маркова к диффузионному пределу на случай, когда соответ- ствующие коэффициенты процессов удовлетворяют слабым условиям регулярности и совпадают лишь асимптотически. В частности, рассматриваемые нами коэффици- енты сноса могут быть неограниченными с не более чем линейным ростом, а оценки отражают перенос терминального состояния неограниченным трендом через ...
Added: December 3, 2025
Bogomolov F. A., Schrandt S., / Series arXiv "math". 2025.
We discuss phenomena of stabilization for direct images of line bundles over projective curves mapping onto the projective line, for maps of sufficiently big degree. ...
Added: December 1, 2025
Deviatov R., Baek S., / Series arXiv "math". 2025.
The torsion index of split simple groups has been extensively studied, notably by Totaro, who calculated the torsion indexes of the spin groups and $E_{8}$ in [5] and [6], respectively. The aim of this paper is to provide upper bounds for the torsion index of half-spin groups, the only remaining case in the calculation of ...
Added: December 1, 2025
Shilov V., М.: МАКС Пресс, 2023.
Об истории вычислительной техники (программирования, информационных технологий и т.д.) пишут много и многие. Журналы, газеты, различные сайты охотно печатают статьи, связанные с этой тематикой. Но, увы, далеко не всегда их качество отвечает даже минимальным критериям. Удивительные версии реальных исторических событий и описания событий, никогда не происходивших, безосновательные утверждения и сомнительные предположения – всё это встречается ...
Added: September 4, 2023
Obukhov A., В кн.: Турбулентность, динамика атмосферы и климата: Сборник конференции к 100-летию академика А.М. Обухова.: М.: Физматкнига, 2018. С. 18–30.
The article tells the biography of Academician A.M. Obukhov, the story of his family, circle of friends, circle of closest colleagues. The life path in science is described. А.М. Obukhov through the circles of proximity scientist. ...
Added: December 9, 2018
Obukhov A., В кн.: Сборник исследовательских работ участников XXV Всероссийского Конкурса юношеских исследовательских работ им. В.И. Вернадского.: М.: журнал "Исследователь/Researcher", 2018. С. 18–23.
Описаны жизенный и научный путь академика А.М. Обухова. Отмечаются его учителя, основные вехи в жизни, достижения в науке. В том числе - организация Института физики атмосферы АН СССР. Статья приоручена к посвящению XXV Всероссийских Чтений юношеских исследовательских работ имени В.И. Вернадского - 100-летию академика А.М. Обухова. ...
Added: April 10, 2018
Obukhov A., В кн.: Творцы российской науки (к памятным датам 2017 - 2018 гг.).: М.: МОД "Исследователь", 2018. С. 64–71.
Описаны жизенный и научный путь академика А.М. Обухова. Отмечаются его учителя, основные вехи в жизни, достижения в науке. В том числе - организация Института физики атмосферы АН СССР. ...
Added: April 10, 2018