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Sökning: swepub > Rosengren Hjalmar 1972 > Göteborgs universitet

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1.
  • Rosengren, Hjalmar, 1972- (författare)
  • Multivariable Christoffel-Darboux kernels and characteristic polynomials of random Hermitian matrices
  • 2006
  • Ingår i: Symmetry, Integrability and Geometry: Methods and Applications. ; 2
  • Tidskriftsartikel (refereegranskat)abstract
    • We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random Hermitian matrices. Using their interpretation as reproducing kernels, we obtain simple proofs of Pfaffian and determinant formulas, as well as Schur polynomial expansions, for such kernels. In subsequent work, these results are applied in combinatorics (enumeration of marked shifted tableaux) and number theory (representation of integers as sums of squares).
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  • Gahramanov, Ilmar, et al. (författare)
  • A new pentagon identity for the tetrahedron index
  • 2013
  • Ingår i: Journal of High Energy Physics. - 1029-8479. ; :128
  • Tidskriftsartikel (refereegranskat)abstract
    • Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a special combination of hyperbolic Gamma functions. Following their idea we have obtained a new pentagon identity for a certain combination of so-called tetrahedron indices arising from the equality of superconformal indices of dual three-dimensional N=2 supersymmetric theories and give a mathematical proof of it.
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4.
  • Hormozi, Mahdi, 1980-, et al. (författare)
  • Inclusions of Waterman-Shiba spaces into generalized Wiener classes
  • 2014
  • Ingår i: Journal of Mathematical Analysis and Applications. - 0022-247X. ; 419:1, s. 428-432
  • Tidskriftsartikel (refereegranskat)abstract
    • The characterization of the inclusion of Waterman-Shiba spaces Lambda BV(p) into generalized Wiener classes of functions BV (q; delta) is given. It uses a new and shorter proof and extends an earlier result of U. Goginava. (C) 2014 Elsevier Inc. All rights reserved.
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5.
  • Ito, Tatsuro, et al. (författare)
  • Evaluation modules for the q-tetrahedron algebra
  • 2013
  • Ingår i: Linear Algebra and its Applications. - 0024-3795. ; 451, s. 107-168
  • Tidskriftsartikel (refereegranskat)abstract
    • Let F denote an algebraically closed field, and fix a nonzero q∈F that is not a root of unity. We consider the q-tetrahedron algebra ⊠q over F. It is known that each finite-dimensional irreducible ⊠q-module of type 1 is a tensor product of evaluation modules. This paper contains a comprehensive description of the evaluation modules for ⊠q. This description includes the following topics. Given an evaluation module V for ⊠q, we display 24 bases for V that we find attractive. For each basis we give the matrices that represent the ⊠q-generators. We give the transition matrices between certain pairs of bases among the 24. It is known that the cyclic group $\Z_4$ acts on ⊠q as a group of automorphisms. We describe what happens when V is twisted via an element of $\Z_4$. We discuss how evaluation modules for ⊠q are related to Leonard pairs of q-Racah type.
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9.
  • Rosengren, Hjalmar, 1972- (författare)
  • An elliptic determinant transformation
  • 2005
  • Ingår i: M. Noumi and K. Takasaki (eds.), Elliptic Integrable Systems. ; s. 241-246
  • Konferensbidrag (övrigt vetenskapligt)
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10.
  • Rosengren, Hjalmar, 1972- (författare)
  • An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
  • 2009
  • Ingår i: Advances in Applied Mathematics. - 0196-8858. ; 43:2, s. 137-155
  • Tidskriftsartikel (refereegranskat)abstract
    • We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin formula for the six-vertex model. As applications, we find dynamical (in the sense of the dynamical Yang-Baxter equation) generalizations of the enumeration and 2-enumeration of alternating sign matrices. The dynamical enumeration has a nice interpretation in terms of three-colourings of the square lattice.
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  • Resultat 1-10 av 29
  • [1]23Nästa
 
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