Large deviation and the tangent cone at infinity of a crystal lattice
Large deviation and the tangent cone at infinity of a crystal lattice
复制标题
DOI：
10.1007/s00209-006-0951-9
复制
发表时间：
2006-03
影响因子：
0.8
通讯作者：
M. Kotani;T. Sunada
中科院分区：
文献类型：
--
作者：
M. Kotani;T. Sunada
本文从几何学的角度讨论了晶格上周期随机游动的大偏差性质，并将其与有限图的第一同调群中的有理凸多面体联系起来，正如我们将观察到的，它具有显著的组合特征，并且也表现在晶格的Gromov-Hausdorff极限中.
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.