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Cooperative Differential Games with Partner Sets on Networks
Proceedings of the Steklov Institute of Mathematics. 2021. Vol. 27. No. 3. P. 286–295.
Petrosyan L., Yeung D., Pankratova Y.
In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and a special type of characteristic function is introduced. It is proved the constructed cooperative game is convex. Using the properties of the payoff functions and the constructed characteristic function, the Shapley Value and $\tau$-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.
Zhuzhoma E. V., Medvedev V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 732–742
We study Axiom A diffeomorphisms (in the sense of Smale) on a closed orientable $n$-manifold $M^n$, $n\ge 4$, whose non-wandering sets consist of codimension one orientable attractors, repellers, and isolated saddle periodic orbits with the same Morse index. Such systems combine chaotic dynamics on basic sets with regular dynamics near trivial periodic orbits. We prove ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V., Yu B. et al., Chaos 2026 Vol. 36 No. 6 P. 063111–063118
We show that any orientable closed 3-manifold $M$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of a 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided that this link contains the figure eight knot. ...
Added: November 3, 2026
Zhuzhoma E. V., Zhirov A. Y., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 2 P. 403–414
On a closed orientable surface, we consider the set of axiom A diffeomorphisms whose non-wandering sets consist of connected one-dimensional expanding attractors and contracting repellers (any attractor/repeller is locally homeomorphic to the product of segment and Cantor set). This set consists of $\Omega$-stable diffeomorphisms and structurally unstable diffeomorphisms. We classify such diffeomorphisms up to the ...
Added: November 3, 2026
Elena R. Loubenets, Sergey Kuznetsov, Quantum Information Processing 2026 Vol. 25 Article 358
The optimal implementation of quantum gates for closed $N$-qubit systems is one of the key challenges for practical realization of many quantum information processing tasks. In the present article, based on the generalized Bloch vectors formalism [J. Phys. A: Math. Theor. 54, 195301 (2021)] for a finite-dimensional quantum system, we develop a new \emph{general} model for the ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V. S., Yu B., Mathematical notes 2025 Vol. 118 No. 2 P. 421–423
We show that given any orientable closed 3-manifold $M^3$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M^3=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided this link contains the figure eight knot. ...
Added: November 3, 2026
Kazakov A., Kulagin N., Lerman L. et al., Chaos 2026 Vol. 36 No. 11 P. 1–24
We study perturbations of an integrable Hamiltonian system with two degrees of freedom that possesses a saddle-focus equilibrium with a homoclinic skirt—a one-parameter family of homoclinic orbits of the saddle-focus whose stable and unstable invariant manifolds coincide. The perturbations are dissipative, and we consider those that split the skirt completely (i.e., no intersections remain). We are interested ...
Added: November 2, 2026
Смирнов С. В., Дынников И. А., Успехи математических наук 2002 Т. 57 № 6 С. 183–184
Изучаются точно решаемые циклические q-цепочки Дарбу, обобщающие q-осциллятор ...
Added: November 1, 2026
Смирнов С. В., Алгебра и анализ 2003 Т. 15 № 5 С. 228–253
В работе построен дискретный q-аналог одевающей цепочки Веселова–Шабата (являющейся обобщением гармонического осциллятора). Показано, что, как и в непрерывном случае, соответствующие операторные соотношения позволяют полностью определить дискретный спектр операторов цепочки: в данном случае он состоит из нескольких q-арифметических прогрессий. В этой работе удалось реализовать циклическую q-цепочку ограниченными разностными самосопряженными операторами, причем спектр каждого из них дискретен, а собственные векторы образуют ...
Added: November 1, 2026
Смирнов С. В., Теоретическая и математическая физика 2012 Т. 172 № 3 С. 387–402
Изучаются интегрируемые условия обрыва для полудискретной цепочки Тоды. Построено представление Лакса для полудискретного аналога цепочек, соответствующих простым алгебрам Ли серии C. Введены нелокальные переменные, в терминах которых записываются симметрии бесконечной полудискретной цепочки, и классифицируются условия обрыва определенного вида, совместимые с симметриями бесконечной цепочки. ...
Added: November 1, 2026
Pilé I., Shchur L., Nuclear Physics B 2026 No. 0550-3213 Article 117706
We study the spatial overlap of successive spin configurations generated by Markov chain Monte Carlo simulations of the Baxter–Wu model. Using the Novotny–Evertz sublattice-freezing single-cluster update, we track the mean and variance of the algorithmic overlap across the critical region. We show that, even in this three-spin model, the overlap acts as an algorithmic observable ...
Added: November 1, 2026
Borzykh D., Орлов Н. А., Экономический журнал Высшей школы экономики 2026 Т. 30 № 3 С. 457–486
This study compares two estimation approaches for the stochastic volatility (SV) model,
namely quasi-maximum likelihood (QML) and Markov chain Monte Carlo (MCMC). A simulation exercise shows that MCMC delivers markedly more accurate parameter estimates than
QML. However, QML remains substantially faster and far less computationally demanding,
which makes it attractive in large-scale empirical applications. To the best of ...
Added: October 29, 2026
Guerreiro I., Sergey Skorokhod, di Volo M. et al., Communications in Nonlinear Science and Numerical Simulation 2027 Vol. 164 Article 110954
The collective dynamics of spiking networks of neurons has been of central interest to both computational
neuroscience and network science. Over the past years, a new generation of neural
population models based on exact reductions (ER) of spiking networks have been developed.
However, most of these efforts have been limited to networks of neurons with simple dynamics
(e.g. the ...
Added: October 29, 2026
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
Added: October 29, 2026
Roman Prosvirnin, Suslov A., Aleksei Soldatov et al., Computation 2026 Vol. 14 No. 10 Article 261
Abstract
Safety-aligned language models often encode that a request is harmful yet still comply with it. We turn this gap between internal recognition and observable behavior into an inference-time defense. The proposed activation-steering method uses a multiplicative operator that amplifies the residual-stream component along a harm-recognition direction. Intervention strength scales with the model’s own assessment of ...
Added: October 27, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Big Data and Cognitive Computing 2026 Vol. 10 No. 11 P. 1–52
Camera traps are a key tool for non-invasive wildlife monitoring, yet models trained on existing benchmarks often generalize poorly to new regions due to domain shift, class imbalance, and natural variability in illumination, season, and background. We introduce PACTraD, a benchmark of 116,973 annotated camera trap images collected in a protected area of the Baikal ...
Added: October 27, 2026
IEEE, 2026.
Proceedings of the X Scientific School "Dynamics of Complex Networks and their Applications"
(DCNA'2026) contain papers of reports of scientists and specialists in the field of intelligent technologies,
engineering education, research and design of complex networks.
DCNA'2026 was held from 10 to 12 September 2026 in Moscow, Russia, as a part of the International
Forum on Artificial Intelligence and ...
Added: October 26, 2026
Flamarion M. V., Pelinovsky E., Wave Motion 2027 Vol. 148 Article 103867
We consider the interaction of two solitary waves in the modified Benjamin–Bona–Mahony
(mBBM) equation in a regime where a small parameter measures the departure from the classical
modified Korteweg–de Vries (mKdV) equation. A regular perturbation method is used to
analyze the modification of the two-soliton wave field induced by the weak non-integrability of
the mBBM equation. We show that, ...
Added: October 23, 2026
Lev Pyatko, Sergey Aksenov, Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 794–813
In the circular restricted three-body problem, families of periodic and quasi-periodic orbits exist in the vicinity of the libration points and are of significant interest for practical applications. This work presents a neural network-based algorithm for orbit construction and station-keeping, applicable to both periodic and quasi-periodic orbits near collinear libration points. The method employs a ...
Added: October 19, 2026
Vorontsova T., М.: Академия, 2025.
The textbook has been prepared in accordance with the requirements of the federal state educational standards for secondary vocational education and is intended for studying the professional modules “Information Security in Information and Telecommunication Systems and Networks Using Software and Hardware‑Software Tools, Including Cryptographic Protection Tools” and “Information Security in Automated Systems Using Software and ...
Added: October 19, 2026
Naumov A., Рубцов А. С., Samsonov S. et al., Успехи математических наук 2026 Т. 81 № 4 (490) С. 161–162
Краткое сообщение рассматривает Моментные оценки для стохастической аппроксимации ...
Added: October 17, 2026
Roman Avdeev, Yulia Zaitseva, Mediterranean Journal of Mathematics 2026 Vol. 23 No. 7 Article 224
We provide an infinite series of commutative finite-dimensional Gorenstein local algebras A_n for n ≥ 2. We give an elementary proof that the maximal ideal of every algebra A_n possesses a one-dimensional subspace that is different from the socle and invariant under the automorphism group of A_n. The latter implies that the algebras A_n fail ...
Added: October 17, 2026
Petrosyan L. A., Pankratova Y., Doklady Mathematics 2023 Vol. 108 No. 1 P. S92–S99
Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game. A special-type characteristic function that takes into account players in partner sets is introduced, and its superadditivity is proved. ...
Added: March 20, 2024
Tamara Teplova, Tatiana Sokolova, David Kissa, Resources Policy 2023 Vol. 86 No. B Article 104253
The purpose of the paper is to reveal the impact of different environment, social, and corporate governance (ESG) indicators on stock liquidity in the emerging Russian market, which is heavily dominated by the natural resources sector. We first apply Explainable Artificial Intelligence (AI) to identify and rank determining factors for stock liquidity on a sample ...
Added: October 23, 2023
Ignatov D. I., Kwuida L., Annals of Mathematics and Artificial Intelligence 2022 Vol. 90 No. 11 P. 1197–1222
We propose the usage of two power indices from cooperative game theory and public choice theory for ranking attributes of closed sets, namely intents of formal concepts (or closed itemsets). The introduced indices are related to extensional concept stability and are also based on counting of generators, especially of those that contain a selected attribute. ...
Added: January 31, 2023