Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs
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Publication:2280557
DOI10.1214/19-AOP1339zbMath1447.60022arXiv1808.09437OpenAlexW2982180089MaRDI QIDQ2280557
Matteo Marcozzi, Yukun He, Antti Knowles
Publication date: 18 December 2019
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.09437
Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)
Related Items (10)
Noise sensitivity for the top eigenvector of a sparse random matrix ⋮ Universality of the least singular value for sparse random matrices ⋮ Spectrum of random d‐regular graphs up to the edge ⋮ Localized phase for the Erdős-Rényi graph ⋮ Edge rigidity and universality of random regular graphs of intermediate degree ⋮ Bulk eigenvalue fluctuations of sparse random matrices ⋮ Delocalization transition for critical Erdős-Rényi graphs ⋮ Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs ⋮ The completely delocalized region of the Erdős-Rényi graph ⋮ Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations
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