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

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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;
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