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Взаимодействие коротких однокомпонентных векторных солитонов в средах со смещенной дисперсией (адиабатическое приближение)
Труды НГТУ им. Р.Е. Алексеева. 2010. № 4 (83). С. 40–49.
The interaction of short single-component vector solitons in the frame of the coupled third–order nonlinear Schrodinger equations taking into account third–order linear dispersion, self–stepping, self–stimulated Ramanscattering, cross–stepping and cross–stimulated Raman-scattering terms is considered. Conditions of reflection and propagation of the solitons through each other and also the condition of oscillator interaction (vector breather) are obtained.
Glutsyuk A., / Series arXiv "math". 2026.
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 ...
Added: September 8, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Kotelnikov M., Пути России. Журнал cоциальных и этнографических исследований 2026 Т. 4 № 3 С. 80–95
The article examines strategies for avoiding unwanted verbal interactions with dog owners while walking dogs. The study is based on the author’s autoethnographic expe-rience and interviews with “introverted” dog owners. The discussion focuses on five tactics aimed at reducing the level of social discomfort of the “introverted dog owner”: actively com-menting on your dog’s actions, ...
Added: August 26, 2026
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
Obukhov A., Исследователь/Researcher 2025 № 3-4 С. 83–131
The article describes the experience of preparing and conducting a student research expedition to Buryatia as part of
the HSE University “Rediscovering Russia” program, themed “Man in Harmony with Nature: Interaction of Schools in the Republic of Buryatia with Protected Areas”. The expedition was prepared and carried out in cooperation with the D. Banzarov Buryat State ...
Added: June 2, 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
Obukhov A., В кн.: Учебно-исследовательская деятельность в системе общего, дополнительного и профессионального образования: материалы XVI Всероссийской научно-практической конференции с международным участием, посвященной 30-летию классического университетского образования в Республике Бурятия (Улан-Удэ, 27–28 ноября 2025 г.).: Улан-Удэ: Издательство Бурятского госуниверситета им. Д. Банзарова, 2026. С. 10–21.
In summer of 2025 a student research expedition led by the National Research University Higher School of Economics (HSE) was conducted in the Republic of Buryatia. The expedition was titled "People in Harmony with Nature: Interaction
between Schools in the Republic of Buryatia and Specially Protected Natural Areas." The expedition was implemented in collaboration with D. Banzarov BSU. ...
Added: April 2, 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
Do T. T., Xing J., Liu S. et al., APL Materials 2025 Vol. 13 No. 9 Article 091111
Semiconductor lead halide perovskites have attracted significant attention for various applications. Understanding the impact of material composition on optical properties is essential for optimizing device performance. Here, we performed magneto-optical spectroscopy on high-quality bulk CsPbBr3, MAPbBr3, and MAPbI3 single crystals under magnetic fields of up to 30 T. The results revealed distinctive excitonic responses to the magnetic ...
Added: January 26, 2026
Kramarenko L., Законность 2024 № 3 С. 16–19
Modern society, as well as the prosecutor's office and local self-government bodies, cannot be imagined without information technology. In this regard, the author suggests using information technology in the interaction between the prosecutor's office and local self-government bodies, which, in his opinion, will significantly affect the effectiveness of these bodies. ...
Added: January 21, 2026
Kramarenko L., Научный вестник Омской академии МВД России 2024 Т. 30 № 2(93) С. 162–168
The article discusses the amendments made to the Constitution of the Russian Federation in 2020, which introduced the concept of a unified system of public authority and established that it includes state authorities and local self-government bodies. The author suggests that the unified system of public authority was created in order to ensure effective cooperation ...
Added: January 21, 2026
Kramarenko L., Вестник Университета прокуратуры Российской Федерации 2024 № 3 С. 136–143
The author analyzes the areas of interaction between the prosecutor's office and local self-government bodies in the field of law-making, identifies problems that arise in practice, reveals shortcomings in legal regulation, and develops proposals for its improvement. ...
Added: January 21, 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
Mashkova M. A., Karavashkina V. N., Yelizarov (Elizarov) A. A. et al., , in: 2025 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO).: IEEE, 2025. P. 1–4.
Added: December 6, 2025