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Large deviations for stochastic flows and their applications 被引量:2

Large deviations for stochastic flows and their applications
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摘要 Large deviations for stochastic flow solutions to SDEs containing a small parameter are studied. The obtained results are applied to establish a Cp, r-large deviation principle for stochastic flows and for solutions to anticipating SDEs. The recent results of Millet-Nualart-Sans and Yoshida are improved and refined. Large deviations for stochastic flow solutions to SDEs containing a small parameter are studied. The obtained results are applied to establish a Cp,r,-large deviation principle for stochastic flows and for solutions to anticipating SDEs. The recent results of Millet-Nualart-Sans and Yoshida are improved and refined.
出处 《Science China Mathematics》 SCIE 2001年第8期1016-1033,共18页 中国科学:数学(英文版)
基金 the National Natural Science Foundation of China (Grant No. 19971025) 973 Project.
关键词 Large deviation Quasi-sure analysis Stochastic flows Capacity Anticipting SDE 关键词;大偏差;伪肯定的分析;随机的流动;能力;Anticipting SDE;
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  • 1Ichiro Shigekawa.Sobolev spaces of Banach-valued functions associated with a Markov process[J].Probability Theory and Related Fields.1994(3)
  • 2Nobuo Yoshida.A large deviation principle for (r,p)-capacities on the Wiener space[J].Probability Theory and Related Fields.1993(4)

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