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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

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  • Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems 
    Barnsley, M.F.; Vince, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension ...
  • Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S.; Palmer, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    For a fundamental solution of Laplace's equation on the R-radius d-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions. We also compute the Gegenbauer polynomial ...
  • Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    For each of the eight n-th derivative parameter changing formulas for Gauss hypergeometric functions a corresponding fractional integration formula is given. For both types of formulas the differential or integral operator ...
  • From Jack to Double Jack Polynomials via the Supersymmetric Bridge 
    Lapointe, L.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has ...
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...
  • From Twisted Quantum Loop Algebras to Twisted Yangians 
    Conner, P.; Guay, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra ...
  • Galois Groups of Difference Equations of Order Two on Elliptic Curves 
    Dreyfus, T.; Roques, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give applications to the calculation of some difference ...
  • General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners 
    Díaz-Marín, H.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We propose a general reduction procedure for classical field theories provided with abelian gauge symmetries in a Lagrangian setting. These ideas come from an axiomatic presentation of the general boundary formulation (GBF) ...
  • Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres 
    Barbosa, V.S.; Menegatto, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the ...
  • Geometry of Centroaffine Surfaces in R⁵ 
    Bushek, N.; Clelland, J.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete ...
  • GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum ...
  • GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product ...
  • Graded Bundles in the Category of Lie Groupoids 
    Bruce, A.J.; Grabowska, K.; Grabowski, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We define and make initial study of Lie groupoids equipped with a compatible homogeneity (or graded bundle) structure, such objects we will refer to as weighted Lie groupoids. One can think of weighted Lie groupoids as ...
  • Hankel Determinants of Zeta Values 
    Haynes, A.; Zudilin, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the asymptotics of Hankel determinants constructed using the values ζ(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the ...
  • Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) 
    Babichenko, A.; Creutzig, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff ...
  • Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative 
    Santana, A.J.; Stelmastchuk, S.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, ...
  • Harmonic Oscillator on the SO(2,2) Hyperboloid 
    Petrosyan, D.R.; Pogosyan, G.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the present work the classical problem of harmonic oscillator in the hyperbolic space H²₂: z²₀+z²₁−z²₂−z²₃=R² has been completely solved in framework of Hamilton-Jacobi equation. We have shown that the harmonic oscillator ...
  • Higher Order Deformations of Complex Structures 
    D'Hoker, E.; Phong, D.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Deformations of complex structures by finite Beltrami differentials are considered on general Riemann surfaces. Exact formulas to any fixed order are derived for the corresponding deformations of the period matrix, Green's ...
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case 
    Simon N.M. Ruijsenaars (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The 'relativistic' Heun equation is an 8-coupling difference equation that generalizes the 4-coupling Heun differential equation. It can be viewed as the time-independent Schrödinger equation for an analytic difference ...
  • Invariant Classification and Limits of Maximally Superintegrable Systems in 3D 
    Capel, J.J.; Kress, J.M.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D ...

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