Asymptotic representation theory and Riemann-Hilbert problem

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We show how the Riemann-Hilbert problem can be used to compute correlation kernels for determinantal point processes arising in different models of asymptotic combinatorics and representation theory. The Whittaker kernel and the discrete Bessel kernel are computed as examples.
AMSTeX, 15 pages

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Representation Theory, Mathematical Physics, Classical Analysis and ODEs, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/62519

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110318
 http://arxiv.org/abs/math/0110318

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arXiv