Convergence of martingales on a Riemannian manifold (Q789078)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence of martingales on a Riemannian manifold |
scientific article; zbMATH DE number 3844700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of martingales on a Riemannian manifold |
scientific article; zbMATH DE number 3844700 |
Statements
Convergence of martingales on a Riemannian manifold (English)
0 references
1983
0 references
When the scalar quadratic variation of a martingale on a Riemannian manifold is finite almost surely, then the martingale converges almost surely in the one-point compactification of the manifold. A partial converse due to Zheng Weian is also proved. No curvature conditions on the manifold are required.
0 references
Riemannian manifold
0 references
stochastic development
0 references
quadratic variation
0 references
almost sure convergence
0 references
0 references
0 references
0.9452435
0 references
0.93368167
0 references
0.9244709
0 references
0.9036926
0 references
