Random matrices, random polynomials and Coulomb systems

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dc.creatorLeboeuf, P.
dc.date1999-11-15
dc.date.accessioned2026-07-07T03:15:08Z
dc.date.available2026-07-07T03:15:08Z
dc.descriptionIt is well known that the joint probability density of the eigenvalues of Gaussian ensembles of random matrices may be interpreted as a Coulomb gas. We review these classical results for hermitian and complex random matrices, with special attention devoted to electrostatic analogies. We also discuss the joint probability density of the zeros of polynomials whose coefficients are complex Gaussian variables. This leads to a new two-dimensional solvable gas of interacting particles, with non-trivial interactions between particles.
dc.description8 pages, to appear in the Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, 1999
dc.identifierhttps://arxiv.org/abs/cond-mat/9911222
dc.identifierhttp://arxiv.org/abs/cond-mat/9911222
dc.identifierJ. Phys. IV France 10 (2000) Pr5-45 -- Pr5-52
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29924
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectStrongly Correlated Electrons
dc.titleRandom matrices, random polynomials and Coulomb systems
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