Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry

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dc.creatorForrester, P. J.
dc.date2006-05-06
dc.date.accessioned2026-07-07T07:13:43Z
dc.date.available2026-07-07T07:13:43Z
dc.descriptionInter-relations between random matrix ensembles with different symmetry types provide inter-relations between generating functions for the gap probabilites at the spectrum edge. Combining these in the scaled limit with the exact evaluation of the gap probabilities for certain superimposed ensembles with orthogonal symmetry allows for the exact evaluation of the gap probabilities at the hard and soft spectrum edges in the cases of orthogonal and symplectic symmetry. These exact evaluations are given in terms of Painlevé transcendents, and in terms of Fredholm determinants.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0605022
dc.identifierhttp://arxiv.org/abs/math-ph/0605022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112577
dc.subjectMathematical Physics
dc.titleHard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
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