Diffusion dynamics on multiplex networks

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 o...

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Detalles Bibliográficos
Autores: Gómez, S., Díaz Guilera, Albert, Gómez-Gardeñes, Jesús, Pérez-Vicente, Conrado, 1962-, Moreno, Yamir, Arenas, Àlex
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/51663
Acceso en línea:https://hdl.handle.net/2445/51663
Access Level:acceso abierto
Palabra clave:Xarxes d'ordinadors
Topologia
Dinàmica
Xarxes socials
Teoria de grafs
Computer networks
Topology
Dynamics
Social networks
Graph theory
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spelling Diffusion dynamics on multiplex networksGómez, S.Díaz Guilera, AlbertGómez-Gardeñes, JesúsPérez-Vicente, Conrado, 1962-Moreno, YamirArenas, ÀlexXarxes d'ordinadorsTopologiaDinàmicaXarxes socialsTeoria de grafsComputer networksTopologyDynamicsSocial networksGraph theoryWe 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.American Physical Society2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/51663Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.110.028701Physical Review Letters, 2013, vol. 110, p. 028701-1-028701-5http://dx.doi.org/10.1103/PhysRevLett.110.028701info:eu-repo/grantAgreement/EC/FP7/318132info:eu-repo/grantAgreement/EC/FP7/317614(c) American Physical Society, 2013info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/516632026-05-27T06:46:51Z
dc.title.none.fl_str_mv Diffusion dynamics on multiplex networks
title Diffusion dynamics on multiplex networks
spellingShingle Diffusion dynamics on multiplex networks
Gómez, S.
Xarxes d'ordinadors
Topologia
Dinàmica
Xarxes socials
Teoria de grafs
Computer networks
Topology
Dynamics
Social networks
Graph theory
title_short Diffusion dynamics on multiplex networks
title_full Diffusion dynamics on multiplex networks
title_fullStr Diffusion dynamics on multiplex networks
title_full_unstemmed Diffusion dynamics on multiplex networks
title_sort Diffusion dynamics on multiplex networks
dc.creator.none.fl_str_mv Gómez, S.
Díaz Guilera, Albert
Gómez-Gardeñes, Jesús
Pérez-Vicente, Conrado, 1962-
Moreno, Yamir
Arenas, Àlex
author Gómez, S.
author_facet Gómez, S.
Díaz Guilera, Albert
Gómez-Gardeñes, Jesús
Pérez-Vicente, Conrado, 1962-
Moreno, Yamir
Arenas, Àlex
author_role author
author2 Díaz Guilera, Albert
Gómez-Gardeñes, Jesús
Pérez-Vicente, Conrado, 1962-
Moreno, Yamir
Arenas, Àlex
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Xarxes d'ordinadors
Topologia
Dinàmica
Xarxes socials
Teoria de grafs
Computer networks
Topology
Dynamics
Social networks
Graph theory
topic Xarxes d'ordinadors
Topologia
Dinàmica
Xarxes socials
Teoria de grafs
Computer networks
Topology
Dynamics
Social networks
Graph theory
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/51663
url https://hdl.handle.net/2445/51663
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.110.028701
Physical Review Letters, 2013, vol. 110, p. 028701-1-028701-5
http://dx.doi.org/10.1103/PhysRevLett.110.028701
info:eu-repo/grantAgreement/EC/FP7/318132
info:eu-repo/grantAgreement/EC/FP7/317614
dc.rights.none.fl_str_mv (c) American Physical Society, 2013
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2013
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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