Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/51663
Title: Diffusion dynamics on multiplex networks
Author: Gómez, S.
Díaz Guilera, Albert
J. Gómez-Gardeñes
Pérez-Vicente, Conrado, 1962-
Moreno, Yamir
Arenas, Àlex
Keywords: Xarxes d'ordinadors
Topologia
Dinàmica
Xarxes socials
Teoria de grafs
Computer networks
Topology
Dynamics
Social networks
Graph theory
Issue Date: 8-Jan-2013
Publisher: American Physical Society
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.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.110.028701
It is part of: Physical Review Letters, 2013, vol. 110, p. 028701-1-028701-5
Related resource: http://dx.doi.org/10.1103/PhysRevLett.110.028701
URI: http://hdl.handle.net/2445/51663
ISSN: 0031-9007
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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