paper

Transition from Poisson to gaussian unitary statistics: The two-point correlation function

arXiv:cond-mat/9802263 · doi:10.1103/PhysRevE.58.400

Abstract

We consider the Rosenzweig-Porter model of random matrix which interpolates between Poisson and gaussian unitary statistics and compute exactly the two-point correlation function. Asymptotic formulas for this function are given near the Poisson and gaussian limit.

19 pages, no figures