On the spectral radius of a random matrix: an upper bound without fourth moment
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Publication:1660634
DOI10.1214/17-AOP1228zbMath1393.05130arXiv1607.05484WikidataQ129689372 ScholiaQ129689372MaRDI QIDQ1660634
Charles Bordenave, Djalil Chafaï, Konstantin Tikhomirov, Pietro Caputo
Publication date: 16 August 2018
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.05484
Random graphs (graph-theoretic aspects) (05C80) Spectrum, resolvent (47A10) Random matrices (algebraic aspects) (15B52) Directed graphs (digraphs), tournaments (05C20)
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Cites Work
- Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
- Around the circular law
- Spectrum of non-Hermitian heavy tailed random matrices
- Poisson convergence for the largest eigenvalues of heavy tailed random matrices
- Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang
- The spectral radius of large random matrices
- A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices
- Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails
- Random matrices: universality of ESDs and the circular law
- Outlier Eigenvalues for Deformed I.I.D. Random Matrices
- A chaos hypothesis for some large systems of random equations
