Author, as appears in the article.: Gomez, S; Diaz-Guilera, A; Gomez-Gardenes, J; Perez-Vicente, C J; Moreno, Y; Arenas, A
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
Keywords: Time-scales Spectral properties Multiplexing Matrix algebra Laplacian matrices Eigenvalues and eigenfunctions Eigenvalues Diffusion process Diffusion dynamics Complete networks
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. © 2013 American Physical Society.
Thematic Areas: Química Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Physics Medicina ii Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy General medicine Filosofía Farmacia Ensino Engenharias iv Engenharias iii Engenharias ii Economia Ciências biológicas ii Ciências agrárias i Ciência da computação Biotecnología Astronomia / física
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: sergio.gomez@urv.cat alexandre.arenas@urv.cat
Author identifier: 0000-0003-1820-0062 0000-0003-0937-0334
Record's date: 2024-09-28
Papper version: info:eu-repo/semantics/submittedVersion
Link to the original source: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.028701
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Physical Review Letters. 110 (2): 028701-
APA: Gomez, S; Diaz-Guilera, A; Gomez-Gardenes, J; Perez-Vicente, C J; Moreno, Y; Arenas, A (2013). Diffusion dynamics on multiplex networks. Physical Review Letters, 110(2), 028701-. DOI: 10.1103/PhysRevLett.110.028701
Article's DOI: 10.1103/PhysRevLett.110.028701
Entity: Universitat Rovira i Virgili
Journal publication year: 2013
Publication Type: Journal Publications
Repositori URV