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

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

1998-02-25

arxiv.org/abs/cond-mat/9802263v1

Physics

Condensed Matter

19 pages, no figures

Scientific paper

10.1103/PhysRevE.58.400

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.

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