Stochastic completeness and volume growth
- 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.
| Author details: | Christian BärORCiDGND, C. Pacelli Bessa |
|---|---|
| URL: | http://www.ams.org/proc/ |
| DOI: | https://doi.org/10.1090/S0002-9939-10-10281-0 |
| ISSN: | 0002-9939 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Proceedings of the American Mathematical Society. - ISSN 0002-9939. - 138 (2010), 7, S. 2629 - 2640 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
