Spectral properties, localization transition and multifractal eigenvectors of the Laplacian on heterogeneous networks

We study the spectral properties and eigenvector statistics of the Laplacian on highly-connected networks with random coupling strengths and a gamma distribution of rescaled degrees. The spectral density, the distribution of the local density of states, the singularity spectrum and the multifractal...

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Bibliographic Details
Main Author: Jeferson D. da Silva, Diego Tapias, Peter Sollich, Fernando L. Metz
Format: Article
Language:English
Published: SciPost 2025-02-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.18.2.047
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