Toshikazu Sunada
Green functions on a
crystal lattice
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.