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Stochastic calculus with respect to G-Brownian motion viewed through rough paths 被引量:2

Stochastic calculus with respect to G-Brownian motion viewed through rough paths
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摘要 We study rough path properties of stochastic integrals of Ito's type and Stratonovich's type with respect to G-Brownian motion. The roughness of G-Brownian motion is estimated and then the pathwise Norris lemma in G-framework is obtained. We study rough path properties of stochastic integrals of Ito's type and Stratonovich's type with respect to G-Brownian motion. The roughness of G-Brownian motion is estimated and then the pathwise Norris lemma in G-framework is obtained.
出处 《Science China Mathematics》 SCIE CSCD 2017年第1期1-20,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 10921101) the Programme of Introducing Talents of Discipline to Universities of China (Grant No. B12023)
关键词 rough paths roughness of G-Brownian motion Norris lemma 粗糙度估计 布朗运动 随机积分 路径 微积分 Ito型 ch型 引理
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