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Fluctuations of extreme eigenvalues of sparse Erdős–Rényi graphs

We consider a class of sparse random matrices which includes the adjacency matrix of the Erdős–Rényi graph [Formula: see text] . We show that if [Formula: see text] then all nontrivial eigenvalues away from 0 have asymptotically Gaussian fluctuations. These fluctuations are governed by a single rand...

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Detalles Bibliográficos
Autores principales: He, Yukun, Knowles, Antti
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550707/
https://www.ncbi.nlm.nih.gov/pubmed/34720301
http://dx.doi.org/10.1007/s00440-021-01054-4