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

Estrada, Ernesto and Hameed, Ehsan Mejeed and Langer, Matthias and Puchalska, Aleksandra (2018) Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice. Linear Algebra and its Applications, 555. pp. 373-397. ISSN 0024-3795

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    Abstract

    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.

    ORCID iDs

    Estrada, Ernesto ORCID logoORCID: https://orcid.org/0000-0002-3066-7418, Hameed, Ehsan Mejeed ORCID logoORCID: https://orcid.org/0000-0002-4630-3483, Langer, Matthias ORCID logoORCID: https://orcid.org/0000-0001-8813-7914 and Puchalska, Aleksandra;
    • Item type:Article
      ID code:64756
      Dates:
      Date
      Event
      15 October 2018
      Published
      27 June 2018
      Published Online
      21 June 2018
      Accepted
      Keywords:k-path Laplacian, anomalous diffusion, square lattice, Mathematics, Analysis
      Subjects:Science > Mathematics
      Department:Faculty of Science > Mathematics and Statistics
      Depositing user: Pure Administrator
      Date deposited:10 Jul 2018 13:05
      Last modified:27 Aug 2021 03:13
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/64756
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