Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice

Ernesto Estrada, Ehsan Mejeed Hameed, Matthias Langer, Aleksandra Puchalska

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In this paper we consider a generalized diffusion equation on a square lattice corresponding to Mellin transforms of the k-path Laplacian. In particular, we prove that superdiffusion occurs when the parameter s in the Mellin transform is in the interval (2,4) and that normal diffusion prevails when s > 4.
Original languageEnglish
Pages (from-to)373-397
Number of pages25
JournalLinear Algebra and its Applications
Early online date27 Jun 2018
Publication statusPublished - 15 Oct 2018


  • k-path Laplacian
  • anomalous diffusion
  • square lattice

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