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Limiting Velocity and Dispersion Law of Domain Walls in Ferrimagnets Close to the Spin Compensation Point
JETP Letters. 2019. Vol. 110. No. 7. P. 481–486.
The motion of domain walls in GdFeCo-type ferrimagnets near the point of compensation of sublattice spins s1 and s2, when the effects of the exchange increase in the limiting wall velocity take place, is theoretically studied. The energy E and momentum P of the wall are determined and the dispersion relation E = E(P) is derived. It is found that some walls become unstable at a sufficiently small decompensation value s1 - s2 < νc(s1 + s2), νc ≪ 1, and the dispersion relation E(P) has an end point at some finite momentum. At s1 - s2 > νc(s1 + s2), this dispersion relation, as well as that for ferromagnets, is periodic.
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Piterbarg V., Вестник Московского университета. Серия 1: Математика. Механика 2024 № 4 С. 21–25
Найдена точная асимптотика вероятности превышения высокого уровня гауссовским процессом с постоянной дисперсией, корреляционная функция которого удовлетворяет в каждой точке условию Пикандса, при этом константы в условии меняются, являясь непрерывными функциями ...
Added: June 25, 2025
Yurin A., Вишняков Г. Н., Minaev V., Компьютерная оптика 2024 Т. 48 № 2 С. 225–230
Dispersion characteristics of optical glass are considered. An approach to research of dispersion characteristics of optical glass is proposed, requiring the measurement of the refractive index at only three wavelengths, which simplifies the measurement process compared with the use of the widely used Sellmeier equation. An approximation function for the refractive index of optical glass ...
Added: January 2, 2024
Vishnyakov G., Yurin A., Minaev V. et al., Metrologia 2023 Vol. 60 No. 4 Article 045007
We present a method for measuring the refractive index (RI) and spectral characteristics of transparent triangular prisms based on the minimum deviation technique. The proposed method has been developed to automatically measure RI simultaneously for three different wavelengths to determine the spectral dependence of RI. A high precision dynamic goniometer with a He-Ne ring laser ...
Added: June 28, 2023
Safronova E., Воропаева Д. Ю., Novikova S. et al., Мембраны и мембранные технологии 2022 Т. 12 № 1 С. 47–56
В статье описано влияние природы растворителя на примере полярных протонных (вода) и апротонных (N,N-диметилформамид (ДМФА) и N,N-диметилацетамид (ДМА)) жидкостей на свойства
мембран Nafion, полученных из них методом отливки. Влагосодержание и протонная проводимость
мембран Nafion, полученных из водной дисперсии, существенно выше, чем из дисперсий в ДМФА
и ДМА, однако их механические свойства и стабильность обычно оказываются невысокими. Непродолжительная ультразвуковая ...
Added: November 25, 2022
Yelizarov (Elizarov) A. A., Nazarov I., Skuridin A. et al., , in: 2020 International Conference on Actual Problems of Electron Devices Engineering (APEDE’ 2020). MATERIALS OF THE INTERNATIONAL SCIENTIFIC AND TECHNICAL CONFERENCE. Saratov. September 24-25, 2020.: IEEE, 2020. P. 175–179.
Added: October 21, 2020
Yelizarov (Elizarov) A. A., Малинова О. Е., Сидорова Т. В. et al., Изобретения. Полезные модели. Официальный бюллетень Федеральной службы по интеллектуальной собственности, патентам и товарным знакам 2019 № 4 С. 1–2
Программа МЕТА предназначена для моделирования и расчёта характеристик планарного грибовидного
метаматериала на основе заданных геометрических параметров грибовидных ячеек типа
«мальтийский крест», электромагнитных параметрах материала элементарных структурных
единиц поверхности. Результатами являются расчетные величины эквивалентных погонных
параметров индуктивности и емкости элементарной грибовидной ячейки, зависимости
коэффициента замедления от длины волны. Программа используется для расчета
электродинамических параметров микрополосковых полосно-пропускающих и режекторных
фильтров, элементов малогабаритных антенн и ...
Added: March 28, 2019
Blyakhman L. G., Gromov E., Malomed B. A. et al., Chaos, Solitons and Fractals 2018 No. 117 P. 264–268
The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution of the HF field is governed by a linear Schrödinger equation with the potential generated by the LF field, while ...
Added: November 12, 2018
Bogdanova T., Биджоян Д. С., Neklyudov D., Научно-технические ведомости Санкт-Петербургского государственного политехнического университета. Экономические науки 2018 Т. 11 № 4 С. 70–84
The approach proposed to classify commercial banks into banks that have a high probability of revoking a license and reliable banks, as well as an information and logical model for identifying a group of banks (or one bank) among reliable banks that are attractive for investment. The probability of license revocation was assessed using a ...
Added: June 25, 2018
Evgeny Gromov, Malomed B., Chaos 2017 Vol. 27 No. 11 P. 113107-1–13107-13
New two-component soliton solutions of the coupled high-frequency (HF) - low-frequency (LF) system, based on Schrödinger - Korteweg - de Vries (KdV) system with the Zakharov's coupling, are obtained for arbitrary relative strengths of the nonlinearity and dispersion in the LF component. The complex HF field is governed by the linear Schrödinger equation with a ...
Added: October 24, 2017