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arXiv · 1802.00719

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

Ernesto Estrada·Ehsan Hameed·Matthias Langer·Aleksandra Puchalska
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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 $s>4$.

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Ernesto Estrada, Ehsan Hameed, Matthias Langer, Aleksandra Puchalska. 2018-02-02. Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice. https://doi.org/10.1016/j.laa.2018.06.026

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