title: Hyperbolic disordered ensembles of random matrices.
abstract: Using the recently introduced simple procedure of dividing Gaussian matrices by a positive random variable, a family of random matrices is generated characterized by a behavior ruled by the generalized hyperbolic distribution. The spectral density evolves from the semicircle law to a Gaussian-like behavior while concomitantly, the local fluctuations show a transition from the Wigner-Dyson to the Poisson statistics. Long range statistics such as number variance exhibit large fluctuations typical of nonergodic ensembles.
authors: CNRS, Université Paris-Sud, UMR8626, LPTMS, Orsay Cedex, F-91405, France.
authors: O
authors: O
authors: Bohigas
authors: M P
authors: MP
authors: Pato