Local law of addition of random matrices on optimal scale

DOI10.1007/s00220-016-2805-6zbMath1416.60015arXiv1509.07080OpenAlexW3106145536WikidataQ59607425 ScholiaQ59607425MaRDI QIDQ512320

Zhigang Bao, László Erdős, Kevin Schnelli

Publication date: 24 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07080

zbMATH Keywords

eigenvalue spacingHaar orthogonal matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20)

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Bulk universality for random lozenge tilings near straight boundaries and for tensor products, Isotropic self-consistent equations for mean-field random matrices, Local law and Tracy-Widom limit for sparse random matrices, Convergence rate for spectral distribution of addition of random matrices, Large deviations for the largest eigenvalue of the sum of two random matrices, Local single ring theorem on optimal scale, On the analytic structure of second-order non-commutative probability spaces and functions of bounded Fréchet variation, Local laws for multiplication of random matrices, On the support of the free additive convolution, Anisotropic local laws for random matrices, Local spectral statistics of the addition of random matrices, Random characteristics for Wigner matrices, Universality of local statistics for noncolliding random walks, Universality of the least singular value for the sum of random matrices, Spectral rigidity for addition of random matrices at the regular edge, Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

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