Flows associated to Cameron-Martin type vector fields on path spaces over a Riemannian manifold

被引：0
作者：
Jing-xiao Zhang
机构：
[1] Renmin University of China,Center for Applied Statistics, School of Statistics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2013年 / 29卷
关键词：
flow; Cameron-Martin type vector field; path space; Riemannian manifold; 62P05; 93E20;
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摘要：
The flow on the Wiener space associated to a tangent process constructed by Cipriano and Cruzeiro, as well as by Gong and Zhang does not allow to recover Driver’s Cameron-Martin theorem on Riemannian path space. The purpose of this work is to refine the method of the modified Picard iteration used in the previous work by Gong and Zhang and to try to recapture and extend the result of Driver. In this paper, we establish the existence and uniqueness of a flow associated to a Cameron-Martin type vector field on the path space over a Riemannian manifold.
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页码：499 / 508
页数：9
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