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

被引：0
|
作者：
Motoko Kotani
Toshikazu Sunada
机构：
[1] Tohoku University,Mathematical Institute
[2] Meiji University,Department of Mathematics
来源：
Mathematische Zeitschrift | 2006年 / 254卷
关键词：
Random Walk; Crystal Lattice; Extreme Point; Tangent Cone; Large Deviation Principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：837 / 870
页数：33
相关论文
共 50 条
12345