Martingales on Manifolds with Time-Dependent Connection

被引：0

作者：

Hongxin Guo

Robert Philipowski

Anton Thalmaier

机构：

[1] Wenzhou University,School of Mathematics and Information Science

[2] University of Luxembourg,Mathematics Research Unit, FSTC

来源：

Journal of Theoretical Probability | 2015年 / 28卷

关键词：

Stochastic analysis on manifolds; Time-dependent geometry; Martingales; 53C44; 58J65; 60G44; 60G48;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We define martingales on manifolds with time-dependent connection, extending in this way the theory of stochastic processes on manifolds with time-changing geometry initiated by Arnaudon et al. (C R Acad Sci Paris Ser I 346:773–778, 2008). We show that some, but not all, properties of martingales on manifolds with a fixed connection extend to this more general setting.

引用

页码：1038 / 1062

页数：24

共 13 条

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[8] Philipowski R(undefined)A stochastic approach to a priori estimates and Liouville theorems for harmonic maps undefined undefined undefined-undefined
[9] Kuwada K(undefined)undefined undefined undefined undefined-undefined
[10] Philipowski R(undefined)undefined undefined undefined undefined-undefined

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