Comparison theorems for Brownian motions on Riemannian manifolds and their applications
- Ichihara, Kanji
Publication date
February 1988
DOI Publisher
Published by Elsevier Inc. ISSN
0047-259XAbstract
AbstractA global lower estimate for the transition probability of the Brownian motion on a complete Riemannian manifold is given in the form of a comparison with the transition probability of the Brownian motion on a model. This estimate is applied to obtain the laws of the iterated logarithms in the large for Brownian motion on certain Riemannian manifolds
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