The Laplacian of the Erdős-Rényi graph

Diplôme Thèse The Laplacian of the Erdős-Rényi graph eng 2023 2023 author Rivier Renaud 909684 Section de mathématiques (MATH) director Knowles Antti 860179 Section de mathématiques (MATH) 183 10.13097/archive-ouverte/unige:170196 urn:nbn:ch:unige-1701966 Sc. 5736 This thesis studies the spectral properties of the Laplacian matrix of the Erdős-Rényi graph. Various results are proved including local law and eigenvector delocalization in the bulk of the spectrum as well as Poisson statistics and eigenvector localization at the edge of the spectrum. Random matrices Random graphs Local law Extreme eigenvalue statistics Dewey 510 25 Section de mathématiques 11 false ba4f228f-9bd2-4964-b3d4-4b30de8d0d7b Thesis Public these.pdf 4347204 application/pdf faee44b1b88fc5cb6b0b13d0c26dcde481b9c2465f6314dd70b6342a6685c8e9 104195bc-6602-426d-b09a-14246b9df2f5 Imprimatur Public imprimatur.pdf 308267 application/pdf e035cdafa9be8e0b96f9b91ec587376cfae1845972612f276fd6a435c25b29c7 openAccess Faculté des sciences / Section de mathématiques

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The Laplacian of the Erdős-Rényi graph				2023	612	866

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Rivier, Renaud

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