Random Matrices and Random Permutations

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dc.creatorOkounkov, Andrei
dc.date1999-03-30
dc.date2000-04-19
dc.date.accessioned2026-07-07T05:28:32Z
dc.date.available2026-07-07T05:28:32Z
dc.descriptionWe prove the conjecture of Baik, Deift, and Johansson which says that with respect to the Plancherel measure on the set of partitions of $n$, the 1st, 2nd, and so on, rows behave, suitably scaled, like the 1st, 2nd, and so on, eigenvalues of a Gaussian random Hermitian matrix as $n$ goes to infinity. Our proof is based on an interplay between maps on surfaces and ramified coverings of the sphere. We also establish a connection of this problem with intersection theory on the moduli spaces of curves.
dc.description58 pages, Latex, 32 figures
dc.identifierhttps://arxiv.org/abs/math/9903176
dc.identifierhttp://arxiv.org/abs/math/9903176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78293
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subjectProbability
dc.subjectRepresentation Theory
dc.titleRandom Matrices and Random Permutations
dc.typetext

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