Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles

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We suggest an hierarchy of all the results known so far about the connection of the asymptotics of combinatorial or representation theoretic problems with ``beta=2 ensembles'' arising in the random matrix theory. We show that all such results are, essentially, degenerations of one general situation arising from so-called generalized regular representations of the infinite symmetric group.
AMSTeX, 19 pages

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Combinatorics, Probability, Representation Theory, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/120649

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905189
 http://arxiv.org/abs/math/9905189
 In: Random matrix models and their applications (P.M.Bleher and R.A.Its, eds), Math. Sci. Res. Inst. Publ., vol. 40, Cambridge Univ. Press, Cambridge, 2001, 71--94

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arXiv