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

页码：837 / 870

页数：33

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