Flows associated to tangent processes on the Wiener space

被引:15
作者
Cipriano, F [1 ]
Cruzeiro, AB [1 ]
机构
[1] Univ Lisbon, Grp Fis Matemat, P-1649003 Lisbon, Portugal
关键词
D O I
10.1006/jfan.1999.3418
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove, under certain regularity assumptions on the coefficients, that tangent processes (namely semimartingales d xi(tau) = a dx(tau) + b d tau where a is an antisymmetric matrix) generate flows on the classical Wiener space. Main applications of the result can be found in the study of the geometry of path spaces. (C) 1999 Academic Press.
引用
收藏
页码:310 / 331
页数:22
相关论文
共 14 条
[1]   VICINITY OF THE SOLUTIONS OF DIFFERENTIAL-EQUATIONS ON THE WIENER SPACE [J].
CRUZEIRO, AB .
JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 58 (03) :335-347
[2]   Renormalized differential geometry on path space: Structural equation, curvature [J].
Cruzeiro, AB ;
Malliavin, P .
JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 139 (01) :119-181
[4]  
CRUZEIRO AB, 1993, J FUNCT ANAL, V54, P193
[6]   Towards a Riemannian geometry on the path space over a Riemannian manifold [J].
Enchev, O ;
Stroock, DW .
JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 134 (02) :392-416
[7]   STOCHASTIC-ANALYSIS ON THE PATH SPACE OF A RIEMANNIAN MANIFOLD .1. MARKOVIAN STOCHASTIC CALCULUS [J].
FANG, SZ ;
MALLIAVIN, P .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 118 (01) :249-274
[8]  
FEYEL D, 1989, ANN I FOURIER GRENOB, V39, P879
[9]   Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold [J].
Hsu, EP .
JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 134 (02) :417-450
[10]  
LIONS TJ, 1997, J FUNCT ANAL