Universality for a global property of the eigenvectors of Wigner matrices

DOI10.1063/1.4864735zbMath1295.60008arXiv1211.2507OpenAlexW2028482876MaRDI QIDQ5414779

Wang Zhou, Zhigang Bao, Guangming Pan

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1211.2507

zbMATH Keywords

weak convergenceWigner matrices

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Random matrices (algebraic aspects) (15B52)

Related Items (2)

Fermionic eigenvector moment flow ⋮ Minimax estimation in sparse canonical correlation analysis

Cites Work

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• Localization and delocalization for heavy tailed band matrices
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• Random matrices: Universality of local eigenvalue statistics up to the edge
• Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
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• RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
• A UNIVERSALITY RESULT FOR THE GLOBAL FLUCTUATIONS OF THE EIGENVECTORS OF WIGNER MATRICES

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