• Corpus ID: 247155639

Diffusivity of a walk on fractures of a hypertorus

  title={Diffusivity of a walk on fractures of a hypertorus},
  author={Piet Lammers},
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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