特征 发表于 2025-3-30 08:44:48
On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland HierarchyWe report on the trigonometric spin Ruijsenaars–Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion on the Lie group U(.). In particular, we give a direct proof of a previously stated result about the form of the second Poisson bracket in terms of convenient variables.BORE 发表于 2025-3-30 13:16:52
Maximal Surfaces on Two-Step Sub-Lorentzian StructuresWe describe sufficient maximality conditions for the classes of graph surfaces on two-step Carnot groups with sub-Lorentzian structure. In particular, we introduce a non-holonomic notion of variation of the area functional.人充满活力 发表于 2025-3-30 20:07:27
One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the We consider certain degenerations of trigonal curves and hyperelliptic curves, which we call one step degeneration. We compute the limits of corresponding quasi-periodic solutions using the Sato Grassmannian. The mixing of solitons and quasi-periodic solutions is clearly visible in the obtained solutions.舞蹈编排 发表于 2025-3-30 23:43:37
2297-0215 ature and Forest Museum and local traditions are interwoven with the scientific activities..The chapter “Toeplitz Extensions in Noncommutative Topology and Math978-3-030-53307-6978-3-030-53305-2Series ISSN 2297-0215 Series E-ISSN 2297-024X娴熟 发表于 2025-3-31 02:05:38
http://reply.papertrans.cn/39/3836/383558/383558_55.png伙伴 发表于 2025-3-31 06:43:18
Quantum Differential Equations and Helices18, arXiv:1811.09235), and Cotti and Varchenko (Equivariant quantum differential equation and . equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem. In: Krichever, I., Novikov, S., Ogievetsky, O., Shlosman, S. (Eds.) Integrabilit绕着哥哥问 发表于 2025-3-31 12:48:29
Hermitian–Einstein Metrics from Non-commutative ,(1) Solutionstroduced in “Gravitational instantons from gauge theory” Yang and Salizzoni (Phys Rev Lett 201602, 2006 ). This correspondence is valid not only for a commutative space but also for a noncommutative space. We choose . instantons on a noncommutative . as the self-dual two-form, from wScintigraphy 发表于 2025-3-31 14:04:53
2-Hom-Associative Bialgebras and Hom-Left Symmetric Dialgebraslled .. Besides, we define and characterize the hom-associative dialgebras, hom-Leibniz algebra and hom-left symmetric dialgebras, and discuss their main relevant properties. Explicit examples are given to illustrate the developed formalism.Occlusion 发表于 2025-3-31 19:47:37
Laguerre–Gaussian Wave Propagation in Parabolic Mediaus media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomoinsular 发表于 2025-3-31 23:14:56
Following the Trail of the Operator Geometric Meanr geometric mean in the positive cone of a unital ..-algebra. The story begins with the two-variable matrix geometric mean, moves to the .-variable matrix setting, then to the extension to the positive cone of the ..-algebra of operators on a Hilbert space, and even to general unital ..-algebras, an