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arxiv: math/0405090 · v5 · submitted 2004-05-05 · 🧮 math.PR · math-ph· math.MP

Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails

classification 🧮 math.PR math-phmath.MP
keywords matriceseigenvaluesheavylargestpoissonrandomstatisticstails
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We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.

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