HEAT KERNEL AND DISCRETIZATION OF RIEMANN MANIFOLDS

被引：23

作者：

COULHON, T ^{[1
]}

机构：

[1] UNIV PARIS 06,F-75252 PARIS 05,FRANCE

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1992年 / 80卷 / 03期

关键词：

D O I：

10.1007/BF02808072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One considers a bounded geometry non-compact Riemannian manifold, and the graph obtained by discretizing this manifold. One shows that the uniform decay for large time of the heat kernel on the manifold and the decay of the standard random walk on the graph are the same, in the polynomial scale. As a consequence, such a large time behaviour of the heat kernel is invariant under rough isometries.

引用

页码：289 / 300

页数：12

共 20 条

[1] THE FUNDAMENTAL GROUP AND THE SPECTRUM OF THE LAPLACIAN [J].