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Edge Scaling Limit of the Spectral Radius for Random Normal Matrix Ensembles at Hard Edge
Journal of Statistical Physics ( IF 1.6 ) Pub Date : 2020-09-16 , DOI: 10.1007/s10955-020-02634-9
Seong-Mi Seo

We show that for the hard edge ensemble with power potential, the limiting law of the spectral radius with a proper rescaling follows an exponential distribution and prove this edge universality for radially symmetric subharmonic potentials. We also obtain the order statistics of the moduli of eigenvalues.

中文翻译:

硬边缘随机法向矩阵系综谱半径的边缘缩放限制

我们表明,对于具有功率势的硬边缘集合,具有适当重新缩放的谱半径的极限定律遵循指数分布,并证明了径向对称次谐波势的边缘普遍性。我们还获得了特征值模的阶次统计。
更新日期:2020-09-16
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