Rotationally invariant family of Lévy like random matrix ensembles

Simple item page
dc.creatorChoi, Jinmyung
dc.creatorMuttalib, K. A.
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:13Z
dc.date.available2026-07-07T12:58:13Z
dc.descriptionWe introduce a family of rotationally invariant random matrix ensembles characterized by a parameter $λ$. While $λ=1$ corresponds to well-known critical ensembles, we show that $λ\ne 1$ describes "Lévy like" ensembles, characterized by power law eigenvalue densities. For $λ> 1$ the density is bounded, as in Gaussian ensembles, but $λ<1$ describes ensembles characterized by densities with long tails. In particular, the model allows us to evaluate, in terms of a novel family of orthogonal polynomials, the eigenvalue correlations for Lévy like ensembles. These correlations differ qualitatively from those in either the Gaussian or the critical ensembles.
dc.description9 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0903.5266
dc.identifierhttp://arxiv.org/abs/0903.5266
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 152001
dc.identifierdoi:10.1088/1751-8113/42/15/152001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225166
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleRotationally invariant family of Lévy like random matrix ensembles
dc.typetext

Files

Collections

arXiv