TY  - JOUR
A1  - Bär, Christian
A1  - Bessa, C. Pacelli
T1  - Stochastic completeness and volume growth
N2  - 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.
Y1  - 2010
UR  - http://www.ams.org/proc/
U6  - https://doi.org/10.1090/S0002-9939-10-10281-0
SN  - 0002-9939
ER  -