32 citations · 54 across the 2 of their papers we have counts for
3 papers
cond-mat.stat-mech2008★ 32 cited
Deformations of the Tracy-Widom distribution
O. Bohigas, J. X. de Carvalho, M. P. Pato
In random matrix theory (RMT), the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations…
cond-mat.stat-mech2007★ 22 cited
Disordered ensembles of random matrices
O. Bohigas, J. X. de Carvalho, M. P. Pato
It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable Lévy ensemble can be generated by the simple pro…
nucl-th2004
Level density for deformations of the Gaussian orthogonal ensemble
A. C. Bertuola, J. X. de Carvalho, M. S. Hussein +2
Formulas are derived for the average level density of deformed, or transition, Gaussian orthogonal random matrix ensembles. After some general considerations about Gaussian ensembl…