?
Магнитометрические квазичастицы в спинтронике
Наноструктуры. Математическая физика и моделирование. 2010. Т. 2. № 1. С. 98–99.
Karasev M., Нескоромный Д. Ю.
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
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
Мещеряков А. А., Сафин А. Р., Kalyabin D. et al., Радиотехника и электроника 2025 Т. 70 № 12 С. 1190–1199
Теоретически исследовано взаимодействие резонансных мод в обменно-связанной двухслойной структуре скошенный антиферромагнетик/ферромагнетик. Методом гамильтонова формализма получены выражения, описывающие зависимость резонансных частот колебаний намагниченности от внешнего постоянного магнитного поля. Исследовано влияние связи между ферро- и антиферромагнитным слоями на ширину щели гибридизации и на величину внешнего магнитного поля, при котором наблюдается гибридизация между резонансной модой в ферромагнетике и нижней резонансной модой в антиферромагнетике. Показано, ...
Added: February 5, 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
Tissen M., Kushchuk L., Bagzhanov D. et al., The Journal of Physical Chemistry Letters 2026 Vol. 17 No. 2 P. 466–475
Recently, there has been a lot of interest in two-dimensional materials with intrinsic magnetism as potential platforms for the next generation of spintronic devices. Structural defects, that is, point atomic defects in the crystal structure, play a significant role in modulating the electronic and magnetic properties of two-dimensional materials. To gain a better understanding of ...
Added: January 2, 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
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Prokhorov Y., / Series arXiv "math". 2025.
A $\mathbf{Q}$-conic bundle is a contraction $f: X\to Z$ of a three-dimensional algebraic variety $X$ to a surface~$Z$ such that the variety~$X$ has only terminal $\mathbf{Q}$-factorial singularities, the anticanonical divisor $-K_X$ is~$f$-ample, and $\uprho(X/Z)=1$. We provide an algorithm to transform a $\mathbf{Q}$-conic bundle to its standard form. ...
Added: December 1, 2025
Екомасов Е. Г., Нерадовский Д. Ф., Pugach N. et al., Известия Уфимского научного центра РАН 2025 № 1 С. 55–60
The coupled dynamics of magnetic vortices in spin-transfer nanooscillators is investigated. A spin-transfer nanooscillator is a structure in which the precession of magnetization is excited due to the effect of spin moment transfer between the spin-polarized current and magnetization. The case of a spin-transfer nanooscillator, which is a three-layer nanocylinder, where two magnetic layers are ...
Added: September 28, 2025
Samoilenko K. D., Volkov D., Gabrielyan D. et al., JETP Letters 2025 Vol. 121 No. 7 P. 554–561
The effect of the polarization of microwave radiation on the efficiency of ferromagnetic resonance excitation and spin pumping from a ferromagnetic lutetium garnet Lu3Fe5O12 thin film into normal metal Pt has been studied. The voltages created due to the inverse spin Hall effect in a Pt layer have been measured when the polarization of the ...
Added: July 2, 2025
Meshcheryakov A. A., A.R. Safin, Kalyabin D. et al., Physics of the Solid State 2025 Vol. 67 No. 1 P. 72–77
The phenomenon of mode hybridization in the exchange-coupled two-layer antiferromagnet|ferromagnet structure has been theoretically investigated. Expressions describing the dependence of the resonant frequencies of magnetization oscillations on the external magnetic field have been obtained by the method of Hamiltonian formalism. The effect of the coupling strength between the ferro- and antiferromagnetic layers on the width ...
Added: July 2, 2025
Селезнёв Д. В., Seidov S., Pugach N. et al., Известия Уфимского научного центра РАН 2025 № 1 С. 5–11
Рассматривается спиновый вентиль, состоящий из одного сверхпроводящего слоя и двух ферромагнитных изоляторов по краям сверхпроводника. Контакт рассмотрен в грязном пределе, в котором функция
Грина сверхпроводника подчиняется уравнению Узаделя. Уравнения Узаделя дополнены соответствующими граничными условиями, моделирующими эффект близости сверхпроводника с ферромагнитным
изолятором. Исследование системы проводилось путем численного решения уравнений Узаделя вкупе с
уравнением самосогласования для сверхпроводящего параметра порядка. Численный ...
Added: March 5, 2025