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The exact Laplacian spectrum for the Dyson hierarchical network

We consider the Dyson hierarchical graph [Image: see text], that is a weighted fully-connected graph, where the pattern of weights is ruled by the parameter σ ∈ (1/2, 1]. Exploiting the deterministic recursivity through which [Image: see text] is built, we are able to derive explicitly the whole set...

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Detalles Bibliográficos
Autores principales: Agliari, Elena, Tavani, Flavia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5220329/
https://www.ncbi.nlm.nih.gov/pubmed/28067261
http://dx.doi.org/10.1038/srep39962