Parallel transports associated to stochastic holonomies

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：wuzhi1979

【摘要】

：

A stochastic holonomy along a loop obtained from the OU process on the path space over acompact Riemannian manifold is computed. The result shows that the stoch

【作者】

：

CHEN Shiping(陈世平) XIANG Kainan

【机构】

：

SchoolofMathematicalSciences,ZhuzhouInstituteofTechnology

【出处】

：

中国科学：数学英文版

【发表日期】

：

2002年12期

【关键词】

：

STOCHASTIC holonomy HORIZONTAL lift PARALLEL transport. stochastic holonomy ho

【基金项目】

：

国家自然科学基金

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A stochastic holonomy along a loop obtained from the OU process on the path space over acompact Riemannian manifold is computed. The result shows that the stochastic holonomy just gives theparallel transport with respect to the Markov connection along the

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Parallel transports associated to stochastic holonomies

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