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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • (D+1)-Colored Graphs - a Review of Sundry Properties 
    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 ...
  • Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation 
    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 ...
  • Darboux Integrals for Schrödinger Planar Vector Fields via 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 ...
  • Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy 
    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 ...
  • The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source 
    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.
  • Decomposition of directed graphs and the Turán problem 
    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.
  • Decomposition of Linear Singularly Perturbed Functional Differential Equations 
    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 ...
  • Decompositions of set-valued mappings 
    Protasov, I. (Algebra and Discrete Mathematics, 2020)
  • Definite Integrals using Orthogonality and Integral Transforms 
    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.
  • Deformation Quantization by Moyal Star-Product and Stratonovich Chaos 
    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.
  • Deformation Quantization in White Noise Analysis 
    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.
  • Deformation Quantization of Poisson Structures Associated to Lie Algebroids 
    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 ...
  • Deformations of circle-valued Morse functions on surfaces 
    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 → ...
  • Deformations of the Canonical Commutation Relations and Metric Structures 
    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 ...
  • Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels 
    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 ...
  • Deformed su(1,1) Algebra as a Model for Quantum Oscillators 
    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 ...
  • Degenerate Series Representations of the q-Deformed Algebra so'q(r,s) 
    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 ...
  • Delayed feedback makes neuronal firing statistics non-Markovian 
    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 ...
  • Deligne-Beilinson Cohomology and Abelian Link Invariants 
    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 ...
  • Demazure Modules, Chari–Venkatesh Modules and Fusion Products 
    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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