LARGE DEVIATION PRINCIPLES FOR ISOTROPIC STOCHASTIC FLOW OF HOMEOMORPHISMS ON Sd

被引：1

作者：

Xu, Tiange ^{[1
]}

Zhang, Tusheng ^{[2
,3
]}

机构：

[1] Chinese Acad Sci, Grad Univ, Sch Math, Beijing 100049, Peoples R China

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[3] Univ Oslo, CMA, N-0316 Oslo, Norway

来源：

STOCHASTICS AND DYNAMICS | 2010年 / 10卷 / 04期

关键词：

Eigenvector fields; Large deviations; Sobolev Brownian flow; weak convergence; flow of homeomorphisms; DIFFEOMORPHISM GROUP; BROWNIAN-MOTION;

D O I：

10.1142/S0219493710003042

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we obtain a large deviation principle for the flow of homeomorphisms of the stochastic differential equations on the sphere S-d associated with the critical Sobolev Brownian vector fields.

引用

页码：465 / 495

页数：31

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