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.
Verfasserangaben: | Christian BärORCiDGND, C. Pacelli Bessa |
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URL: | http://www.ams.org/proc/ |
DOI: | https://doi.org/10.1090/S0002-9939-10-10281-0 |
ISSN: | 0002-9939 |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Jahr der Erstveröffentlichung: | 2010 |
Erscheinungsjahr: | 2010 |
Datum der Freischaltung: | 25.03.2017 |
Quelle: | Proceedings of the American Mathematical Society. - ISSN 0002-9939. - 138 (2010), 7, S. 2629 - 2640 |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer Review: | Referiert |