Spectral properties of polynomials in independent Wigner and deterministic matrices
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Publication:2410359
DOI10.1016/j.jfa.2017.07.010zbMath1407.46055arXiv1611.07440OpenAlexW2964009751MaRDI QIDQ2410359
Mireille Capitaine, Serban Teodor Belinschi
Publication date: 17 October 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.07440
Related Items (15)
Principal components in linear mixed models with general bulk ⋮ On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices ⋮ Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs ⋮ Outliers in the spectrum for products of independent random matrices ⋮ Remarks on the diagonal embedding and strong 1-boundedness ⋮ Convergence for noncommutative rational functions evaluated in random matrices ⋮ Limiting Eigenvectors of Outliers for Spiked Information-Plus-Noise Type Matrices ⋮ Large deviations for extreme eigenvalues of deformed Wigner random matrices ⋮ Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices ⋮ On the behavior of large empirical autocovariance matrices between the past and the future ⋮ Non universality of fluctuations of outlier eigenvectors for block diagonal deformations of Wigner matrices ⋮ Nonuniversality of fluctuations of outliers for Hermitian polynomials in a complex Wigner matrix and a spiked diagonal matrix ⋮ Local laws for polynomials of Wigner matrices ⋮ Location of the spectrum of Kronecker random matrices ⋮ Thermalisation for Wigner matrices
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