000063184 001__ 63184 000063184 005__ 20190529115213.0 000063184 0247_ $$2doi$$a10.1103/PhysRevLett.110.028701 000063184 0248_ $$2sideral$$a80536 000063184 037__ $$aART-2013-80536 000063184 041__ $$aeng 000063184 100__ $$aGomez, S. 000063184 245__ $$aDiffusion dynamics on multiplex networks 000063184 260__ $$c2013 000063184 5060_ $$aAccess copy available to the general public$$fUnrestricted 000063184 5203_ $$aWe 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. 000063184 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2009-13848$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2009-13730-C02-02$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2008-01240$$9info:eu-repo/grantAgreement/ES/MICINN/FIS2009-13364-C02-01$$9info:eu-repo/grantAgreement/EC/FP7/318132/EU/multi-LAyer SpAtiotemporal Generalized NEtworks/LASAGNE$$9info:eu-repo/grantAgreement/EC/FP7/317614/EU/Mathematical framework for multiplex networks/PLEXMATH 000063184 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000063184 590__ $$a7.728$$b2013 000063184 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b6 / 78 = 0.077$$c2013$$dQ1$$eT1 000063184 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000063184 700__ $$aDiaz-Guilera, A. 000063184 700__ $$0(orcid)0000-0002-3484-6413$$aGomez-Gardenes, J.$$uUniversidad de Zaragoza 000063184 700__ $$aPerez-Vicente, C. J. 000063184 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Y.$$uUniversidad de Zaragoza 000063184 700__ $$aArenas ,A. 000063184 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000063184 7102_ $$12003$$2395$$aUniversidad de Zaragoza$$bDpto. Física Materia Condensa.$$cÁrea Física Materia Condensada 000063184 773__ $$g110, 2 (2013), 028701 [5 pp]$$pPhys. rev. lett.$$tPhysical Review Letters$$x0031-9007 000063184 8564_ $$s194387$$uhttps://zaguan.unizar.es/record/63184/files/texto_completo.pdf$$yVersión publicada 000063184 8564_ $$s126567$$uhttps://zaguan.unizar.es/record/63184/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000063184 909CO $$ooai:zaguan.unizar.es:63184$$particulos$$pdriver 000063184 951__ $$a2019-05-29-11:40:11 000063184 980__ $$aARTICLE