Matrix models for circular ensembles

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dc.creatorKillip, R.
dc.creatorNenciu, I.
dc.date2004-10-02
dc.date.accessioned2026-07-07T05:12:48Z
dc.date.available2026-07-07T05:12:48Z
dc.descriptionWe describe an ensemble of (sparse) random matrices whose eigenvalues follow the Gibbs distribution for n particles of the Coulomb gas on the unit circle at inverse temperature beta. Our approach combines elements from the theory of orthogonal polynomials on the unit circle with ideas from recent work of Dumitriu and Edelman. In particular, we resolve a question left open by them: find a tri-diagonal model for the Jacobi ensemble.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0410034
dc.identifierhttp://arxiv.org/abs/math/0410034
dc.identifierIMRN 50 (2004), 2665--2701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72713
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject15A52
dc.titleMatrix models for circular ensembles
dc.typetext

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