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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting ...
  • Shi, Y.; Nimmo, J.; Zhao, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations ...
  • Acosta-Humánez, P.B.; Pantazi, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory ...
  • Chvartatskyi, O.; Sydorenko, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of (2+1)-dimensional integrable equations, including the DS-III equation and the N-wave ...
  • Melnik, S. (2007)
    We obtain conditions which guarantee the existence of a decomposition of a solution of the quasilinear stochastic parabolic equation with a weak source.
  • Novikov, B.V.; Polyakova, L.Yu.; Zholtkevich, G.N. (Український математичний журнал, 2014)
    We consider vertex decompositions of (di)graphs appearing in the automata theory and establish some properties of these decompositions. These decompositions are applied to the problem of forbidden subgraphs.
  • Perestyuk, M.O.; Cherevko, I.M. (Нелінійні коливання, 2001)
    We study a system of linear singularly perturbed functional differential equations by using the method of integral manifolds. We construct a change of variables that decomposes this system into two subsystems: ordinary ...
  • Protasov, I. (Algebra and Discrete Mathematics, 2020)
  • Cohl, H.S.; Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
  • Léandre, R.; Obame Nguema, Maurice (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
  • Léandre, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.
  • Neumaier, N.; Waldmann, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular ...
  • Maksymenko, S.I. (Український математичний журнал, 2010)
    Let M be a smooth connected orientable compact surface and let Fcov(M,S1) be a space of all Morse functions f : M → S₁ without critical points on ∂M such that, for any connected component V of ∂M, the restriction f : V → ...
  • D'Andrea, F.; Lizzi, F.; Martinetti, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics. In this note, we study modifications of the distance ...
  • Gavrilik, A.M.; Rebesh, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed ...
  • Jafarov, E.I.; Stoilova, N.I.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su(1,1) can be extended to representations of this deformed algebra su(1,1)γ. Just as the ...
  • Groza, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The q-deformed algebra so'q(r,s) is a real form of the q-deformed algebra Uq'(so(n,C)), n = r + s, which differs from the quantum algebra Uq(so(n,C)) of Drinfeld and Jimbo. We study representations of the most degenerate ...
  • Vidybida, A.K.; Kravchuk, K.G. (Український математичний журнал, 2012)
    The instantaneous state of a neural network consists of both the degree of excitation of each neuron and the positions of impulses in communication lines between the neurons. In neurophysiological experiments, the times ...
  • Guadagnini, E.; Thuillier, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable ...
  • Ravinder, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the ...

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