Autor según el artículo: Gomez, S; Diaz-Guilera, A; Gomez-Gardenes, J; Perez-Vicente, C J; Moreno, Y; Arenas, A
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
Palabras clave: Time-scales Spectral properties Multiplexing Matrix algebra Laplacian matrices Eigenvalues and eigenfunctions Eigenvalues Diffusion process Diffusion dynamics Complete networks
Resumen: 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.
Áreas temáticas: 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
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
Identificador del autor: 0000-0003-1820-0062 0000-0003-0937-0334
Fecha de alta del registro: 2024-09-28
Versión del articulo depositado: info:eu-repo/semantics/submittedVersion
Enlace a la fuente original: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.028701
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Physical Review Letters. 110 (2): 028701-
Referencia de l'ítem segons les normes 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
DOI del artículo: 10.1103/PhysRevLett.110.028701
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2013
Tipo de publicación: Journal Publications