title: Level density for deformations of the Gaussian orthogonal ensemble.
abstract: Formulas are derived for the average level density of deformed, or transition, Gaussian orthogonal random matrix ensembles. After some general considerations about Gaussian ensembles, we derive formulas for the average level density for (i) the transition from the Gaussian orthogonal ensemble (GOE) to the Poisson ensemble and (ii) the transition from the GOE to m GOEs.
authors.affiliation: Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo, Brazil.
authors.forename: A C
authors.initials: AC
authors.lastname: Bertuola
authors.forename: J X
authors.initials: JX
authors.lastname: de Carvalho
authors.forename: M S
authors.initials: MS
authors.lastname: Hussein
authors.forename: M P
authors.initials: MP
authors.lastname: Pato
authors.forename: A J
authors.initials: AJ
authors.lastname: Sargeant