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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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DOI

10.1016/0304-3770(86)90083-5

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1432-0916

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Correlation Kernels for Discrete Symplectic and Or

Authors: Alexei Borodin Eugene Strahov
Publish Date: 2008/09/16
Volume: 286, Issue: 3, Pages: 933-
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Abstract

In 49 H Widom derived formulae expressing correlation functions of orthogonal and symplectic ensembles of random matrices in terms of orthogonal polynomials We obtain similar results for discrete ensembles with rational discrete logarithmic derivative and compute explicitly correlation kernels associated to the classical Meixner and Charlier orthogonal polynomials

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
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  5. Binding of Polarons and Atoms at Threshold
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  7. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
  8. Wall-Crossing, Free Fermions and Crystal Melting
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  10. Laminar Boundary Layers in Convective Heat Transport
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  12. Duality of 2D Gravity as a Local Fourier Duality
  13. Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
  14. Extended Scaling Relations for Planar Lattice Models
  15. Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator
  16. Phase Boundaries in Algebraic Conformal QFT
  17. On the Singularity of the Free Energy at a First Order Phase Transition
  18. Free Analog of Pressure and Its Legendre Transform
  19. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
  20. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
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  27. A Monoidal Category for Perturbed Defects in Conformal Field Theory
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  30. High Energy Limits of Laplace-Type and Dirac-Type EigenFunctions and Frame Flows
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