Stochastic completeness and volume growth

Mathematics – Differential Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

11 pages, 5 figures, published version

Scientific paper

10.1090/S0002-9939-10-10281-0

It has been 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 counter-examples to a converse implication.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Stochastic completeness and volume growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stochastic completeness and volume growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic completeness and volume growth will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-193747

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.