Janossy densities, multimatrix spacing distributions and Fredholm resolvents

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A 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.
PlainTex, 10 pages. Some notational corrections added. References updated. To appear in: International Mathematics Research notices

Keywords

Mathematical Physics, Statistical Mechanics, High Energy Physics - Theory, Probability, Exactly Solvable and Integrable Systems, 15A52; 60G55; 45B05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/216854

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0403007
 http://arxiv.org/abs/math-ph/0403007
 Int.Math.Res.Not.48:2599-2609,2004

Collections

arXiv