TY - JOUR
T1 - Large deviation and the tangent cone at infinity of a crystal lattice
AU - Kotani, Motoko
AU - Sunada, Toshikazu
PY - 2006/12/1
Y1 - 2006/12/1
N2 - 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.
AB - 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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U2 - 10.1007/s00209-006-0951-9
DO - 10.1007/s00209-006-0951-9
M3 - Article
AN - SCOPUS:33749620061
SN - 0025-5874
VL - 254
SP - 837
EP - 870
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 4
ER -