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Эффективный поиск минимального дерева на точках пространства в $l_1$-норме
Математические заметки. 2025. Т. 117. № 5. С. 672–679.
Mysin I. E., Dubrovin S. V., Cognitive Neurodynamics 2026 Vol. 20 No. 191 P. 1–30
The hippocampal theta rhythm is crucial for memory and navigation. It is paced by parvalbumin-expressing GABAergic neurons in the medial septum. These neurons segregate into two subpopulations—Teevra and Komal cells—which fire in anti-phase bursts at theta frequency, with a stable phase shift of approximately 150 degrees, and exhibit mutual inhibition. While essential, the network mechanism ...
Added: November 14, 2026
Ефимов К. Д., Журнал Новой экономической ассоциации 2026 № 72 С. 105–114
This study proposes a method for automatic detection of collusive behavior in electronic public procurement auctions based on analysis of the full bid trajectory. The empirical dataset comprises 508 auction histories from 2016–2020 collected from the RTS tender e-procurement platform; the positive class is labeled using case materials of the Federal Antimonopoly Service (FAS Russia), ...
Added: November 13, 2026
Sergey N. Koltcov, Budkovaia M., Surkov A. et al., IEEE Journal of Biomedical and Health Informatics 2026 P. 1–10
Large language models (LLMs) show promise for clinical decision support, but privacy constraints and unreliable free-text decisions limit deployment. We present Medotor, a locally deployed system for screening patients with chronic rhinosinusitis with nasal polyps (CRSwNP) for biologic therapy, and evaluate prompt design on 163 retrospective cases (132 eligible and 31 ineligible). Five models were ...
Added: November 13, 2026
Ермолаев Е. С., Chernyshev V. L., Skripchenko A., Journal of Nonlinear Science 2026 Vol. 36 No. 122 (2026) P. 1–37
We study upper bounds for the moment of permanent -saturation in finite metric graphs. The dynamics is generated by moving points travelling with unit speed along edges and branching into all outgoing directions whenever they reach a vertex. We first reformulate this branched dynamics in terms of birth times at vertices and prove a sufficient ...
Added: November 12, 2026
Физулин А. В., Stepanyants V., Amerikanov A. et al., FUTURE TRANSPORTATION 2026 Vol. 6 No. 6 Article 264
Cooperative warning functions depend on whether V2X information becomes available in time to influence vehicle control. This article presents an event-based co-simulation framework coupling SUMO, ns-3 (ms-van3t), 5G-LENA NR sidelink and application records, with Sionna RT enabled for the intersection scenario. In 140 emergency-vehicle-warning runs, reducing mean packet reception ratio (PRR) from 0.9412 to 0.0675 ...
Added: November 12, 2026
Alfimov Mikhail, Kurakin Andrey, Journal of High Energy Physics 2026 Vol. 2026 Article 99
We continue studying regularization scheme dependence of the 𝒩 = 2 supersymmetric sigma models. In the present work the previous result for the four loop β-function is extended to the five loop order. Namely, we find the renormalization scheme, in which the fifth loop contribution is completely eliminated, while the fourth loop contribution is represented ...
Added: November 12, 2026
Shehtman V. B., Shkatov D., Review of Symbolic Logic 2026 Vol. 19 No. 4 P. 859–882
We study Kripke completeness for predicate modal logics with propositional axioms of bounded alternativity corresponding to the condition on Kripke frames that every world sees at most n worlds. We prove that minimal predicate modal logics with axioms of bounded alternativity, as well as their extensions with the axiom of reflexivity, are strongly Kripke complete, whereas the ...
Added: November 12, 2026
Ignatev M., Vilkin T., Mediterranean Journal of Mathematics 2026 Vol. 23 No. 2 Article 70
Trinomial varieties are affine varieties given by a system of equations consisting of polynomials with three terms. Such varieties are total coordinate spaces of normal varieties with torus action of complexity one. For an affine variety X, we consider the subgroup SAut(X) of the automorphism group generated by all algebraic subgroups isomorphic to the additive ...
Added: November 12, 2026
Maksaev A., Promyslov V., Тишутин П. С., Записки научных семинаров ПОМИ РАН 2026 Т. 554 С. 218–235
Let K be an algebraically closed field and let ℰₖ be the set of n × n matrices over K with exactly k distinct eigenvalues. Previously, the classification of linear maps T: Mₙ(K) → Mₙ(K) satisfying T(ℰₙ) ⊆ ℰₙ was obtained for invertible maps over fields of characteristic 0. In this paper, the classification is ...
Added: November 11, 2026
Barinova M., Tirskaya Karina, Владикавказский математический журнал 2026 Vol. 28 No. 3 P. 25–43
In this paper, the problem of the existence of an energy function for discrete dynamical systems defined by structurally stable diffeomorphisms is studied. For the considered class of dynamical systems, such a function is defined as a continuous function that decreases along the orbits of the system outside the non-wandering set and remains constant on ...
Added: November 11, 2026
Illarionov A., Математический сборник 2026 Т. 217 № 11 С. 56–87
Let $b(\alpha;T)$ be the number of best simultaneous Diophantine approximations with common denominator $\le T$ to the point $\alpha \in {\Bbb R}^n$. We derive asymptotic formulas for the mean value of this quantity (averaging is performed over all rational points of the form $\alpha = (k_1/N,\ldots, k_n/N)$, $N\le R$), as well as for its mathematical ...
Added: November 10, 2026
Stoianova A. D., Trofimets V. Y., Matrokhina K. V., International Journal of Engineering, Transactions A: Basics 2025 Vol. 38 No. 4 P. 701–709
The article considers the issue of managerial decision-making in an oil and gas company, which is related to the class of multi-criteria choice problems. To improve the validity of decisions in the context of companies’ sustainable development it is proposed to implement a Decision Support System (DSS). A brief review of the existing methods of ...
Added: November 10, 2026
Vereshchagin N., Математический сборник 2026 Т. 217 № 10 С. 3–46
Теорема Гудмана-Штрауса утверждает, что для “почти всякой” подстановки семейство подстановочных замощений софично, т.е. может быть задано локальными правилами для некоторой раскраски плиток. Условия на подстановку, гарантирующие софичность, довольно сложные.
В настоящей работе мы предлагаем версию теоремы Гудмана-Штрауса с более простыми условиями на подстановку. Хотя эти условия достаточно ограничительны, мы показываем, что в сочетании с двумя простыми приемами (взятием достаточно ...
Added: November 10, 2026
Sergei Koltcov, Ryumin D., Alexandr Axyonov et al., PeerJ Computer Science 2026 Article 12:e4141
Educational institutions face increasing pressure to adapt their curricula to the rapidly evolving demands of the job market, and recommender systems can be important tools to guide students in selecting courses that align with their career goals. We present EdFitter, a hybrid course recommendation system that combines pretrained text embeddings for retrieval with large language ...
Added: November 10, 2026
Guskov T., Gerke K., Kondratyuk N. et al., Molecular Simulation 2026 Vol. 52 No. 7 P. 546 – 555
Equilibration is often assumed rather than tested in molecular dynamics studies of confined liquid–liquid interfaces, even though different physical properties may relax on different time scales. In this work, equilibration is examined using an automated truncation method based on the marginal standard error rule. Interfacial geometry, wetting behaviour, and density-related properties are analysed for liquid–liquid ...
Added: November 10, 2026
Lukyanchuk V., Norman G., Kondratyuk N. et al., Scientific Reports 2026 Vol. 16 No. 1 Article 16435
Previously, it has been effectively shown that nuclear quantum effects (NQE) considerably influence the prediction of the warm dense hydrogen phase diagram. Here, we study the influence of NQE on the parameters of the conducting state formation in warm dense hydrogen using path integral molecular dynamics (PIMD) within the framework of the finite temperature density ...
Added: November 10, 2026
Cham: Springer, 2027.
This volume is Part VIII of the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2026, held in Naples, Italy, September 7–11, 2026. It contains 40 papers from the Research Track and the Applied Data Science Track and is published as volume 16948 of Lecture Notes in ...
Added: November 9, 2026
Avdoshin S.M., Pesotskaya E.Y., Proceedings of the Institute for System Programming of the RAS 2026 Vol. 38 No. 6, part 2 P. 133–146
Artificial intelligence has significantly reshaped contemporary software engineering practice,
changing how software systems are designed, implemented, tested, and maintained. Recent advances in large
language models and AI-assisted development tools have expanded the role of AI from supporting isolated
tasks to participating in multiple stages of the software lifecycle. In many development settings, software is
now created from high-level specifications ...
Added: November 8, 2026
Guo Z., Jiang T., Wang G. et al., Journal of Computational and Applied Mathematics 2025 Vol. 463
The introduction of quaternions in the quantum chemistry framework provides new ideas for solving some of the difficulties encountered in traditional approaches and is expected to expand the scope of quantum chemistry research. This paper investigates the eigenvalue problem of a Hermitian quaternion matrix by means of the complex representation of a quaternion matrix. This ...
Added: December 16, 2024
Kirill V. Kaymakov, Dmitry S. Malyshev, Optimization Letters 2025 Vol. 19 P. 1441–1454
The tolerance of an element of a combinatorial optimization problem with respect to a given optimal solution is the maximum change, i.e., decrease or increase, of its cost, such that this solution remains optimal. The bottleneck path problem, for given an edge-capacitated graph, a source, and a target, is to find the max-min value of ...
Added: November 5, 2024
Kaimakov K., Malyshev D., Математические заметки 2024 Т. 116 № 4 С. 504–509
Для заданных $P=(p_1,\ldots,p_n)$ --- набора точек единичного квадрата и числа $1\leq k\leq \binom{n}{2}$ в данной работе рассматривается задача поиска $k$-ого порядкового расстояния между элементами $P$ в $l_s$-норме, где $s\in \{1,\infty\}$. Иными словами, рассматривается задача поиска такого минимального $d_k$, что выполнено $\sum\limits_{i<j}\indicator(\|p_i,p_j\|_{s} \leq d_k)\geq k$, где $\indicator$ --- индикаторная функция и $s\in \{1,\infty\}$. В настоящей работе ...
Added: May 31, 2024
Мещеряков М. В., Математика в высшем образовании 2022 № 20 С. 53–68
Статья содержит наглядное изложение элементов теории групп, порождённых отражениями в конечномерных евклидовых пространствах, основанное на естественнонаучном понятии калейдоскопа. Она предназначена преподавателям линейной алгебры и геометрии, дискретной математики, учителям специализированных физико-математических классов школ и студентам факультетов математики и информатики различных направлений подготовки, включая ряд физических и инженерных специальностей. Через рассмотрение калейдоскопов отмечаются взаимосвязи между несколькими различными ...
Added: October 12, 2023
Kruglov V., Pochinka O., Современная математика. Фундаментальные направления 2022 Т. 68 № 3 С. 467–487
Gradient-like flows on surfaces have simple dynamics, which inspired many mathematicians
to search for invariants of their topological equivalence. Under assumptions of different generality
on the class of gradient-like flows under consideration, such classical invariants as the Leontovich–
Mayer scheme, the Peixoto graph, the equipped Peixoto graph, the two-color Wang graph, the threecolor Oshemkov–Sharko graph, the Fleitas circular ...
Added: October 17, 2022
Miolane N., Caorsi M., Lupo U. et al., / Series CS "arxiv.org". 2021. No. 2108.09810.
This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning". The competition asked participants to provide creative contributions to the fields of computational geometry and topology through the open-source repositories Geomstats and Giotto-TDA. The challenge attracted 16 teams in its two month ...
Added: October 16, 2021