Moments of the characteristic polynomial in the three ensembles of random matrices

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dc.creatorMehta, M. L.
dc.creatorNormand, J. -M.
dc.date2001-01-31
dc.date2001-05-23
dc.date.accessioned2026-07-07T02:40:14Z
dc.date.available2026-07-07T02:40:14Z
dc.descriptionMoments of the characteristic polynomial of a random matrix taken from any of the three ensembles, orthogonal, unitary or symplectic, are given either as a determinant or a pfaffian or as a sum of determinants. For gaussian ensembles comparing the two expressions of the same moment one gets two remarkable identities, one between an $n\times n$ determinant and an $m\times m$ determinant and another between the pfaffian of a $2n\times 2n$ anti-symmetric matrix and a sum of $m\times m$ determinants.
dc.descriptiontex, 1 file, 15 pages [SPhT-T01/016], published J. Phys. A: Math. Gen. 34 (2001) 1-13
dc.identifierhttps://arxiv.org/abs/cond-mat/0101469
dc.identifierhttp://arxiv.org/abs/cond-mat/0101469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17311
dc.subjectStatistical Mechanics
dc.titleMoments of the characteristic polynomial in the three ensembles of random matrices
dc.typetext

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