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The barycenter of a probability in a manifold. (Sur le barycentre d’une probabilité dans une variété.) (French) Zbl 0753.60046

Séminaire de probabilités, Lect. Notes Math. 1485, 220-233 (1991).
[For the entire collection see Zbl 0733.00018.]
The authors consider measures on a manifold and introduce the notion of iterated geodesic barycenter. This latter notion is used to obtain a convergence result for a given measure. With some restrictions on the manifold they obtain a result for the existence of a martingale with the condition of balayage.

MSC:

60G44 Martingales with continuous parameter
60G07 General theory of stochastic processes

Citations:

Zbl 0733.00018
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