On the spectrum of random anti-symmetric and tournament matrices

DOI10.1142/S2010326316500106zbMath1355.15028arXiv1411.6914OpenAlexW3103844990MaRDI QIDQ2822700

Uzy Smilansky, Philippe Sosoe

Publication date: 4 October 2016

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6914

zbMATH Keywords

eigenvalueHermitian matricesspectral analysisinterlacing propertiescovariance matricesWigner's semicircle lawanti-symmetric matricesGaussian unitary ensemblesrandom tournament matrices

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)

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