Quasi-invariant measures on the path space of a diffusion

被引：4

作者：

Bell, Denis ^{[1
]}

机构：

[1] Univ N Florida, Dept Math, Jacksonville, FL 32224 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.crma.2006.06.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author has previously constructed a class of admissible vector fields on the path space of an elliptic diffusion process x taking values in a closed compact manifold. In this Note the existence of flows for this class of vector fields is established and it is shown that the law of x is quasi-invariant under these flows.

引用

页码：197 / 200

页数：4

共 50 条

[41] QUASI-INVARIANT AND INVARIANT FUNCTIONALS AND MEASURES ON SYSTEMS OF TOPOLOGICAL LOOPS AND QUASIGROUPS
Ludkovsky, S. V.
SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (05) : 1186 - 1199
[42] ON THE NECESSARY AND SUFFICIENT CONDITION OF THE EXISTENCE OF QUASI-INVARIANT MEASURES
ZHANG, Y
CHINESE ANNALS OF MATHEMATICS SERIES B, 1981, 2 (02): : 217 - 224
[43] QUASI-INVARIANT MEASURES, ESCAPE RATES AND THE EFFECT OF THE HOLE
Bahsoun, Wael
Bose, Christopher
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 27 (03) : 1107 - 1121
[44] Quasi-invariant measures for a foliation and limits of leafwise averages
Schapira, B
COMPTES RENDUS MATHEMATIQUE, 2003, 336 (04) : 349 - 352
[45] THE CODIMENSION FORMULA ON QUASI-INVARIANT SUBSPACES OF THE FOCK SPACE
HOU SHENGZHAO HU JUNYUN Department of Mathematics
ChineseAnnalsofMathematics, 2003, (03) : 343 - 348
[46] Transport equations and quasi-invariant flows on the Wiener space
Fang, Shizan
Luo, Dejun
BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 134 (03): : 295 - 328
[47] The codimension formula on quasi-invariant subspaces of the Fock space
Hou, SZ
Hu, JY
CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (03) : 343 - 348
[48] On Quasi-Invariant Control
Neimark, Yu. I.
DIFFERENTIAL EQUATIONS, 2007, 43 (11) : 1524 - 1528
[49] Invariant or quasi-invariant probability measures for infinite dimensional groupsPart II: Unitarizing measures or Berezinian measures
Paul Malliavin
Japanese Journal of Mathematics, 2008, 3 : 19 - 47
[50] Quasi-invariant transformations on the path space over a manifold (vol 45, pg 409, 2002)
Xiang, KN
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (06): : 816 - 816

← 1 2 3 4 5 →