Diffusion dynamics on multiplex networks

  title={Diffusion dynamics on multiplex networks},
  author={Sergio G{\'o}mez and Albert D{\'i}az-Guilera and Jes{\'u}s G{\'o}mez-Garde{\~n}es and Conrado J. P{\'e}rez Vicente and Yamir Moreno and Alexandre Arenas},
  journal={Physical review letters},
  volume={110 2},
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… CONTINUE READING
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