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

页码：2629 / 2640

页数：12

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