STOCHASTIC COMPLETENESS AND VOLUME GROWTH

被引：0
|
作者：
Baer, Christian [1 ]
Bessa, C. Pacelli [2 ]
机构：
[1] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany
[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 07期
关键词：
Riemannian manifold; Brownian motion; heat kernel; stochastic completeness; volume growth;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It was suggested in 1999 that a certain volume growth condition for geodesically complete Riemannian manifolds might imply that the manifold is stochastically complete. This is motivated by a large class of examples and by a known analogous criterion for recurrence of Brownian motion. We show that the suggested implication is not true in general. We also give counterexamples to a converse implication.
引用
收藏
页码：2629 / 2640
页数：12
相关论文
共 50 条
12345