Articles producció científica> Enginyeria Informàtica i Matemàtiques

Diffusion dynamics on multiplex networks

  • Datos identificativos

    Identificador: imarina:9285248
    Autores:
    Gomez, SDiaz-Guilera, AGomez-Gardenes, JPerez-Vicente, C JMoreno, YArenas, A
    Resumen:
    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.
  • Otros:

    Autor según el artículo: Gomez, S; Diaz-Guilera, A; Gomez-Gardenes, J; Perez-Vicente, C J; Moreno, Y; Arenas, A
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
    Palabras clave: Time-scales Spectral properties Multiplexing Matrix algebra Laplacian matrices Eigenvalues and eigenfunctions Eigenvalues Diffusion process Diffusion dynamics Complete networks
    Resumen: 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.
    Áreas temáticas: 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
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
    Identificador del autor: 0000-0003-1820-0062 0000-0003-0937-0334
    Fecha de alta del registro: 2024-09-28
    Versión del articulo depositado: info:eu-repo/semantics/submittedVersion
    Enlace a la fuente original: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.028701
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Physical Review Letters. 110 (2): 028701-
    Referencia 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 del artículo: 10.1103/PhysRevLett.110.028701
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2013
    Tipo de publicación: Journal Publications
  • Palabras clave:

    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
  • Documentos:

  • Cerca a google

    Search to google scholar