Emergence of extended states at zero in the spectrum of sparse random graphs

DOI10.1214/20-AOP1499zbMath1467.05240arXiv1809.07587OpenAlexW3161292962MaRDI QIDQ2039461

Simon Coste, Justin Salez

Publication date: 2 July 2021

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07587

zbMATH Keywords

spectrumextended statessparse Erdős-Rényi random graphsunimodular Galton-Watson trees

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Density (toughness, etc.) (05C42)

Related Items (3)

Existence of absolutely continuous spectrum for Galton-Watson random trees ⋮ Empirical spectral distributions of sparse random graphs ⋮ Atoms of the matching measure

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