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

H. Kunz·B. Shapiro
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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.

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H. Kunz, B. Shapiro. 1998-02-25. Transition from Poisson to gaussian unitary statistics: The two-point correlation function. https://doi.org/10.1103/physreve.58.400

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