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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 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 ...
  • 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 ...
  • 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 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras 
    Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees ...
  • Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space 
    Zhang, J.; Hu, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its ...
  • Recent Applications of the Theory of Lie Systems in Ermakov Systems 
    Cariñena, J.F.; de Lucas, J.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, ...
  • Recent Developments in (0,2) Mirror Symmetry 
    Melnikov, I.; Sethi, S.; Sharpe, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments ...
  • Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time 
    Fernández-García, N.; Rosas-Ortiz, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown ...
  • Recurrence Coefficients of a New Generalization of the Meixner Polynomials 
    Filipuk, G.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the ...
  • Recursion Operators and Frobenius Manifolds 
    Magri, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this note I exhibit a ''discrete homotopy'' which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds.
  • Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański 
    Sheftel, M.B.; Yazıcı, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present first heavenly equation of Plebański in a two-component evolutionary form and obtain Lagrangian and Hamiltonian representations of this system. We study all point symmetries of the two-component system and, using ...
  • Recursions of Symmetry Orbits and Reduction without Reduction 
    Malykh, A.A.; Sheftel, M.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually ...

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