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Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections
Russian Journal of Mathematical Physics. 2016. Vol. 23. No. 4. P. 455–474.
Dobrokhotov S. Y., Grushin V. V., Sergeev S. A., Tirozzi B.
A linear problem for propagation of gravity waves in the basin having the bottom of a form of a smooth background with added rapid oscillations is considered. The formulas derived below are asymptotic ones; they are quite formal, and we do not discuss the problem concerning their uniformness with respect to these parameters.
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
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
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
Матвеев А. Г., Исторические, философские, политические и юридические науки, культурология и искусствоведение. Вопросы теории и практики 2015 № 7(2) С. 106–109
В статье кратко анализируется эволюция понятия «система». В частности, рассматривается точка зрения Ф.-К. Савиньи по данному вопросу. Современные концепции понятия «система» можно разделить на онтологический, гносеологический и методологический подходы. Онтологический подход является классическим. В философии Н. Лумана этот подход называется «конкретной теорией систем». Однако данная теория не дает познавательной программы. Аналитическая теория систем, которую можно ...
Added: March 24, 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
Vladimir B., Международные процессы 2025 Т. 23 № 2 С. 6–29
This article develops a conceptual framework for analyzing national systems of international aid provision. It proposes an original definition of such systems that accounts for the multidimensional nature of this phenomenon and the plurality of actors and roles in the twenty-first century. The novelty of the approach lies in prioritizing specialization in aid-related activities. Dividing ...
Added: December 30, 2025
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
Kofanov Y. N., М.: ИНФРА-М, 2024.
Систематизированы методы исследования чувствительности выходных электрических, тепловых, механических и других физических характеристик систем к изменениям внутренних параметров этих процессов, моделирование которых может проводиться в области аналитических, структурных, топологических и морфологических представлений. Для полноты системного подхода автором дополнительно проведена разработка ряд новых методов. Показывается эффективность применения функций параметрической чувствительности в процессе проектирования систем с одновременно протекающими ...
Added: January 31, 2025
Filosofova T. G., В кн.: Взаимовлияние информационно-библиотечной среды и общественных наук. Выпуск 7Вып. 7.: М.: Институт научной информации по общественным наукам (ИНИОН) РАН, 2025. С. 137–145.
Access to the results of fundamental and applied scientific research, to the best practices of leading industries and the possibility of their operational use is a strategic resource for further development of productive forces, increasing the level of business activity and business culture in an emerging multipolar world with increasing international competi- tion for influence, ...
Added: January 7, 2025
Nefedova Y., Меди@льманах 2023 № 6(119) С. 44–51
В статье предлагается новый подход к анализу социальных конфликтов в цифровой медиасреде на основе автоматизированных методов обработки текстовой информации. Медиасообщество рассматривается как система, имеющая вход и выход, и задача математической модели сводится к определению наличия конфликта в ответных сообщениях и его основных характеристик, таких как количество конфликтных тем, длительность их обсуждения, уровень агрессии, а также ...
Added: September 29, 2024
Tretiak I., Журнал конституционного правосудия 2022 № 1 С. 30–34
The article presents the results of the author’s work on the theory of constitutional conflictology - a new section of the science of constitutional law. The subject of this theory is constitutional conflict as a special type of legal conflict, the key method of its study is constitutional conflict diagnostics. Also, within the framework of ...
Added: February 4, 2024
Звягинцева О. С., Фундаментальные исследования 2022 № 8 С. 35–40
The agro-industrial complex has always been and remains the basic branch of the Russian economy. Currently, its importance is increasing, due to the desire for food independence of the country. The purposeful development of the agro-industrial complex is a strategic goal of state policy, which causes scientific interest in the study of the potential of ...
Added: April 10, 2023