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

H. Kunz, B. Shapiro

cond-matarXiv:cond-mat/9802263

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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