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

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dc.creatorBorodin, Alexei
dc.creatorOlshanski, Grigori
dc.date1999-05-29
dc.date.accessioned2026-07-07T07:37:04Z
dc.date.available2026-07-07T07:37:04Z
dc.descriptionWe 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.
dc.descriptionAMSTeX, 19 pages
dc.identifierhttps://arxiv.org/abs/math/9905189
dc.identifierhttp://arxiv.org/abs/math/9905189
dc.identifierIn: 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
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120649
dc.subjectCombinatorics
dc.subjectProbability
dc.subjectRepresentation Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleZ-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles
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