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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Official URL: https://doi.org/10.1016/j.laa.2018.06.026
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


Item type: Article ID code: 64756 Dates: DateEvent15 October 2018Published27 June 2018Published Online21 June 2018AcceptedKeywords: 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: 08 Apr 2021 00:40 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/64756
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