Randomly incomplete spectra and intermediate statistics

O. Bohigas 1, M. P. Pato 1, 2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 036212

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions towards Poisson from random matrix theory (RMT) spectra and picket fence spectra. It is shown that the Fredholm determinant formalism of RMT extends naturally to describe incomplete RMT spectra.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Instituto de Fisica,
    Universidade de São Paulo