The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations

Luc Haine

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Displaying similar documents to “The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations”

Non-intersecting, simple, symmetric random walks and the extended Hahn kernel

Kurt Johansson (2005)

Annales de l’institut Fourier

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We show using non-intersecting paths, that a random rhombus tiling of a hexagon, or a boxed planar partition, is described by a determinantal point process given by an extended Hahn kernel.

Direct and Inverse Spectral Problems for (2N + 1)-Diagonal, Complex, Symmetric, Non-Hermitian Matrices

Zagorodnyuk, S. (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 42C05. We give an easy procedure for solving of the direct and the inverse spectral problems for the equation. Guseynov used a procedure of the Gelfand-Levitan type for the case N = 1. We use another procedure and this procedure is more easy and transparent.

Calogero-Moser spaces and an adelic $W$ -algebra

Emil Horozov (2005)

Annales de l’institut Fourier

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We introduce a Lie algebra, which we call adelic $W$ -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

A remark on Whittaker functions on SL $(n, ℝ)$

Taku Ishii (2005)

Annales de l’institut Fourier

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We prove the recursive integral formula of class one $M$ -Whittaker functions on SL $(n, ℝ)$ conjectured and verified in case of $n = 3, 4$ by Stade.

$ℓ_{\infty}$ -norm of iterates and the spectral radius of matrices

Zdeněk Dostál (1980)

Časopis pro pěstování matematiky

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Displaying similar documents to “The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations”

Non-intersecting, simple, symmetric random walks and the extended Hahn kernel

Direct and Inverse Spectral Problems for (2N + 1)-Diagonal, Complex, Symmetric, Non-Hermitian Matrices

Calogero-Moser spaces and an adelic W -algebra

A remark on Whittaker functions on SL ( n , ℝ )

ℓ ∞ -norm of iterates and the spectral radius of matrices

Calogero-Moser spaces and an adelic $W$ -algebra

A remark on Whittaker functions on SL $(n, ℝ)$

$ℓ_{\infty}$ -norm of iterates and the spectral radius of matrices