On permanental polynomials of certain random matrices

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dc.creatorFyodorov, Yan V
dc.date2006-02-14
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:02:58Z
dc.date.available2026-07-07T07:02:58Z
dc.descriptionThe paper addresses the calculation of correlation functions of permanental polynomials of matrices with random entries. By exploiting a convenient contour integral representation of the matrix permanent some explicit results are provided for several random matrix ensembles. When compared with the corresponding formulae for characteristic polynomials, our results show both striking similarities and interesting differences. Based on these findings, we conjecture the asymptotic forms of the density of permanental roots in the complex plane for Gaussian ensembles as well as for the Circular Unitary Ensemble of large matrix dimension.
dc.descriptionpublished version, a few misprints are corrected. 34 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0602039
dc.identifierhttp://arxiv.org/abs/math-ph/0602039
dc.identifierInternational Mathematics Research Notices, vol. 2006 (2006), Article ID 61570, 37 pages
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108801
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleOn permanental polynomials of certain random matrices
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