# Diffusivity of a walk on fractures of a hypertorus

@inproceedings{Lammers2017DiffusivityOA, title={Diffusivity of a walk on fractures of a hypertorus}, author={Piet Lammers}, year={2017} }

This article studies discrete height functions on the discrete hypertorus. These are functions on the vertices of this hypertorus graph for which the derivative satisfies a specific condition on each edge. We then perform a random walk on the set of such height functions, in the spirit of Diffusivity of a random walk on random walks, a work of Boissard, Cohen, Espinasse, and Norris. The goal is to estimate the diffusivity of this random walk in the mesh limit. It turns out that each height…

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