Author, as appears in the article.: Arenas, A. Moreno, Y. Pérez-Vicente, C. J. Gómez-Gardeñes, J. Díaz-Guilera, A. Gómez, S.
Department: Enginyeria Informàtica i Matemàtiques
e-ISSN: 1079-7114
Abstract: We study the time scales associated with diffusion processes that take place on multiplex networks, i.e., on a set of networks linked through interconnected layers. To this end, we propose the construction of a supra-Laplacian matrix, which consists of a dimensional lifting of the Laplacian matrix of each layer of the multiplex network.We use perturbative analysis to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers. The spectrum of the supra-Laplacian allows us to understand the physics of diffusionlike processes on top of multiplex networks.
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 0031-9007
Last page: 28706
Journal volume: 110
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: http://prl.aps.org/abstract/PRL/v110/i2/e028701
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.1103/PhysRevLett.110.028701
Entity: Universitat Rovira i Virgili.
Journal publication year: 2013
First page: 28701
Repositori URV