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Schilder theorem for the Brownian motion on the diffeomorphism group of the circle |
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| Authors: | Jiangang Ren Xicheng Zhang |
| Institution: | a Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, P.R. China b School of Mathematics and Computational Science, Zhongshan University, Guangzhou, Guangdong 510275, P.R. China |
| Abstract: | 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. |
| Keywords: | Primary: 60H10 60F10 Secondary: 60C20 34F05 |
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