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 (https://doi.org/10.1016/j.laa.2018.06.026)

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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:06 May 2022 00:23
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/64756
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