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Diffusion dynamics on multiplex networks

  • Dades identificatives

    Identificador: imarina:9285248
    Autors:
    Gomez, SDiaz-Guilera, AGomez-Gardenes, JPerez-Vicente, C JMoreno, YArenas, A
    Resum:
    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.
  • Altres:

    Autor segons l'article: Gomez, S; Diaz-Guilera, A; Gomez-Gardenes, J; Perez-Vicente, C J; Moreno, Y; Arenas, A
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
    Paraules clau: Time-scales Spectral properties Multiplexing Matrix algebra Laplacian matrices Eigenvalues and eigenfunctions Eigenvalues Diffusion process Diffusion dynamics Complete networks
    Resum: 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.
    Àrees temàtiques: 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
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Identificador de l'autor: 0000-0003-1820-0062 0000-0003-0937-0334
    Data d'alta del registre: 2024-09-28
    Versió de l'article dipositat: info:eu-repo/semantics/submittedVersion
    Enllaç font original: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.028701
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Physical Review Letters. 110 (2): 028701-
    Referència 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 de l'article: 10.1103/PhysRevLett.110.028701
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2013
    Tipus de publicació: Journal Publications
  • Paraules clau:

    Physics,Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Time-scales
    Spectral properties
    Multiplexing
    Matrix algebra
    Laplacian matrices
    Eigenvalues and eigenfunctions
    Eigenvalues
    Diffusion process
    Diffusion dynamics
    Complete networks
    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
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