# Large deviation and the tangent cone at infinity of a crystal lattice

@article{Kotani2006LargeDA, title={Large deviation and the tangent cone at infinity of a crystal lattice}, author={M. Kotani and Toshikazu Sunada}, journal={Mathematische Zeitschrift}, year={2006}, volume={254}, pages={837-870} }

We discuss a large deviation property of a periodic random walk on a crystal lattice in view of geometry, and relate it to a rational convex polyhedron in the first homology group of a finite graph, which, as we shall observe, has remarkable combinatorial features, and shows up also in the Gromov-Hausdorff limit of a crystal lattice.

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