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

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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