Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice
Functional Analysis
2018-07-10 v2
Abstract
In this paper we consider a generalized diffusion equation on a square lattice corresponding to Mellin transforms of the -path Laplacian. In particular, we prove that superdiffusion occurs when the parameter in the Mellin transform is in the interval and that normal diffusion prevails when .
Keywords
Cite
@article{arxiv.1802.00719,
title = {Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice},
author = {Ernesto Estrada and Ehsan Hameed and Matthias Langer and Aleksandra Puchalska},
journal= {arXiv preprint arXiv:1802.00719},
year = {2018}
}