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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • Racah Polynomials and Recoupling Schemes of su(1,1) 
    Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The connection between the recoupling scheme of four copies of su(1,1), the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identified. The Racah polynomials are presented as connection ...
  • Radical functors in the category of modules over different rings 
    Burban, N.; Horbachuk, O. (Algebra and Discrete Mathematics, 2008)
    The category G of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on G to be radical are given. Radical functors on essential subcategories of G are investigated.
  • Radical theory in BCH-algebras 
    Dudek, W.A.; Young Bae Jun (Algebra and Discrete Mathematics, 2002)
    The notion of k-nil radical in BCH-algebras is defined, and related properties are investigated.
  • Rad-supplements in injective modules 
    Buyukasik, E.; Tribak, R. (Algebra and Discrete Mathematics, 2016)
    We introduce and study the notion of Rad-s-injective modules (i.e. modules which are Rad-supplements in the irinjective hulls). We compare this notion with another generalization of injective modules. We show that the class ...
  • Raising and Lowering Operators for Askey-Wilson Polynomials 
    Sahi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only ...
  • Ramseyan variations on symmetric subsequences 
    Verbitsky, O. (Algebra and Discrete Mathematics, 2003)
    A theorem of Dekking in the combinatorics of words implies that there exists an injective order-preserving transformation f : {0, 1, . . . , n} → {0, 1, . . . , 2n} with the restriction f(i + 1) ≤ f(i) + 2 such that for ...
  • Random covers of finite homogeneous lattices 
    Alekseychuk, A.N. (2006)
    We develop and extend some results for the scheme of independent random elements distributed on a finite lattice. In particular, we introduce the concept of the cover of a homogeneous lattice Ln of rank n and derive the ...
  • Random Matrices with Merging Singularities and the Painlevé V Equation 
    Claeys, T.; Fahs, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotic behavior of the partition function and the correlation kernel in random matrix ensembles of the form 1Zn∣∣det(M²−tI)∣∣αe−nTrV(M)dM, where M is an n×n Hermitian matrix, α>−1/2 and t∈R, in double ...
  • Random process from the class V(φ,ψ): exceeding a curve 
    Yamnenko, R.; Vasylyk, O. (2007)
    Random processes from the class V (φ, ψ) which is more general than the class of ψ-sub-Gaussian random process. The upper estimate of the probability that a random process from the class V (φ, ψ) exceeds some function is ...
  • Random Tensors and Quantum Gravity 
    Rivasseau, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular ...
  • Random walks on finite groups converging after finite number of steps 
    Vyshnevetskiy, A.L.; Zhmud, E.M. (Algebra and Discrete Mathematics, 2008)
    Let P be a probability on a finite group G, P(n)=P∗…∗P (n times) be an n-fold convolution of P. If n→∞, then under mild conditions P(n) converges to the uniform probability U(g)=1|G| (g∈G). We study the case when the ...
  • Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic 
    Wang, J.; Heckenberger, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
  • Rank formulae for factorized groups 
    Amberg, B.; Franciosi, S.; De Giovanni, F. (Український математичний журнал, 1991)
  • Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy 
    Bogoslovsky, G.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the ...
  • Rate of convergence for Szász-Bézier operators 
    Gupta Vijay (Український математичний журнал, 2005)
    We estimate the rate of convergence for functions of bounded variation for the Bezier variant of the Szasz operators Sₙ,ₐ(f,x). We study the rate of convergence of Sₙ,ₐ(f,x) for the case 0 < α < 1.
  • Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure 
    Avan, J.; Ragoucy, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of ...
  • Rational Solutions of the H3 and Q1 Models in the ABS Lattice List 
    Shi, Y.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the ...
  • Rational Solutions of the Painlevé-II Equation Revisited 
    Miller, P.D.; Sheng, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The rational solutions of the Painlevé-II equation appear in several applications and are known to have many remarkable algebraic and analytic properties. They also have several different representations, useful in different ...
  • Rational Solutions of the Sasano System of Type A₅⁽²⁾ 
    Matsuda, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry ...
  • Rational Solutions to the ABS List: Transformation Approach 
    Zhang, D.; Zhang, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice ...

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