Schilder theorem for the Brownian motion on the diffeomorphism group of the circle

Schilder theorem for the Brownian motion on the diffeomorphism group of the circle
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DOI:
10.1016/j.jfa.2004.08.006
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发表时间:
2005-07
影响因子:
1.7
通讯作者:
Jiangang Ren;Xicheng Zhang
Jiangang Ren;Xicheng Zhang
中科院分区:
数学1区
文献类型:
--
作者:
Jiangang Ren;Xicheng Zhang

文献摘要

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我们证明了一个大偏差原则与非Lipschitz系数的随机微分方程的流量。作为应用,我们建立了一个关于圆的双同态群上布朗运动的Schilder定理。
We prove a large deviation principle for flows associated to stochastic differential equations with non-Lipschitz coefficients. As an application we establish a Schilder Theorem for the Brownian motion on the group of diffeomorphisms of the circle.