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Integrable systems and random matrices; proceedings.

9780821842409

Integrable systems and random matrices; proceedings.

Integrable Systems, Random Matrices, and Applications (2006: New York) Ed. by Jinho Baik et al.

American Mathematical Society

2008

430 pages

$109.00

Paperback

Contemporary mathematics; v.458

QA614

Twenty-six papers from the May 2006 conference explore the theory of integrable systems from the perspective of representation theory, orthogonal polynomials, spectral theory, operator theory, probability, and statistics. The researchers develop solutions to the Korteweg-de Vries and Camassa-Holm equation, asymptotic expansions for the partial sums of the exponential series, and two parameter deformations of Chebyshev polynomials with simple recurrence coefficients. Other topics include semiclassical solutions of the focusing nonlinear Schrodinger equation, universality in unitary random matrix ensembles, an interpolation between Airy and Pearcey processes, and transition measure for the stochastic Burgers equation. No index is provided.

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