The completely delocalized region of the Erdős-Rényi graph

DOI10.1214/22-ECP450zbMath1483.05151arXiv2109.03227OpenAlexW4210632800MaRDI QIDQ2078125

Johannes Alt, Antti Knowles, Raphael Ducatez

Publication date: 25 February 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03227

zbMATH Keywords

random graphlocal laweigenvector delocalizationsparse random matrix

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Density (toughness, etc.) (05C42)

Related Items (1)

Localized phase for the Erdős-Rényi graph

Cites Work

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• Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
• Local semicircle law and complete delocalization for Wigner random matrices
• Extremal eigenvalues of critical Erdős-Rényi graphs
• Spectral radii of sparse random matrices
• Delocalization transition for critical Erdős-Rényi graphs
• Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs
• Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs
• Outliers in spectrum of sparse Wigner matrices

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