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Delocalization Transition for Critical Erdős–Rényi Graphs

We analyse the eigenvectors of the adjacency matrix of a critical Erdős–Rényi graph [Formula: see text] , where d is of order [Formula: see text] . We show that its spectrum splits into two phases: a delocalized phase in the middle of the spectrum, where the eigenvectors are completely delocalized,...

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Detalles Bibliográficos
Autores principales: Alt, Johannes, Ducatez, Raphael, 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/PMC8550299/
https://www.ncbi.nlm.nih.gov/pubmed/34720130
http://dx.doi.org/10.1007/s00220-021-04167-y