Janossy densities, multimatrix spacing distributions and Fredholm resolvents

Simple item page
dc.creatorHarnad, J.
dc.date2004-03-04
dc.date2004-04-22
dc.date.accessioned2026-07-07T12:32:40Z
dc.date.available2026-07-07T12:32:40Z
dc.descriptionA simple proof is given for a generalized form of a theorem of Soshnikov. The latter states that the Janossy densities for multilevel determinantal ensembles supported on measurable subspaces of a set of measure spaces are constructed by dualization of bases on dual pairs of N-dimensional function spaces with respect to a pairing given by integration on the complements of the given measurable subspaces. The generalization extends this to dualization with respect to measures modified by arbitrary sets of weight functions.
dc.descriptionPlainTex, 10 pages. Some notational corrections added. References updated. To appear in: International Mathematics Research notices
dc.identifierhttps://arxiv.org/abs/math-ph/0403007
dc.identifierhttp://arxiv.org/abs/math-ph/0403007
dc.identifierInt.Math.Res.Not.48:2599-2609,2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216854
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectProbability
dc.subjectExactly Solvable and Integrable Systems
dc.subject15A52; 60G55; 45B05
dc.titleJanossy densities, multimatrix spacing distributions and Fredholm resolvents
dc.typetext

Files

Collections

arXiv