63184 20250619084222.0 doi 10.1103/PhysRevLett.110.028701 sideral 80536 ART-2013-80536 eng Gomez, S. Diffusion dynamics on multiplex networks 2013 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/EC/FP7/317614/EU/Mathematical framework for multiplex networks/PLEXMATH info:eu-repo/grantAgreement/EC/FP7/318132/EU/multi-LAyer SpAtiotemporal Generalized NEtworks/LASAGNE info:eu-repo/grantAgreement/ES/MICINN/FIS2009-13364-C02-01 info:eu-repo/grantAgreement/ES/MINECO/FIS2008-01240 info:eu-repo/grantAgreement/ES/MINECO/FIS2009-13730-C02-02 info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167 info:eu-repo/grantAgreement/ES/MINECO/MTM2009-13848 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 7.728 2013 PHYSICS, MULTIDISCIPLINARY 6 / 78 = 0.077 2013 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Diaz-Guilera, A. Gomez-Gardenes, J. Universidad de Zaragoza (orcid)0000-0001-5204-1937 Perez-Vicente, C. J. Moreno, Y. Universidad de Zaragoza (orcid)0000-0002-0895-1893 Arenas ,A. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 110, 2 (2013), 028701 [5 pp] Phys. rev. lett. Physical Review Letters 0031-9007 194387 http://zaguan.unizar.es/record/63184/files/texto_completo.pdf Versión publicada 126567 http://zaguan.unizar.es/record/63184/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:63184 articulos driver 2025-06-19-08:41:23 ARTICLE