Counting formulas associated with some random matrix averages

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Moments 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.
20 pages, 2 figures

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Combinatorics, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/74347

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503002
 http://arxiv.org/abs/math/0503002

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arXiv