Counting formulas associated with some random matrix averages

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dc.creatorForrester, Peter J.
dc.creatorGamburd, Alex
dc.date2005-03-01
dc.date.accessioned2026-07-07T05:17:33Z
dc.date.available2026-07-07T05:17:33Z
dc.descriptionMoments of secular and inverse secular coefficients, averaged over random matrices from classical groups, are related to the enumeration of non-negative matrices with prescribed row and column sums. Similar random matrix averages are related to certain configurations of vicious random walkers and to the enumeration of plane partitions. The combinatorial meaning of the average of the characteristic polynomial of random Hermitian and Wishart matrices is also investigated, and consequently several simple universality results are derived.
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0503002
dc.identifierhttp://arxiv.org/abs/math/0503002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74347
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.titleCounting formulas associated with some random matrix averages
dc.typetext

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