Solving stochastic differential equations on Homeo(S1)

被引:7
|
作者
Fang, SZ [1 ]
机构
[1] Univ Bourgogne, IMB, F-21078 Dijon, France
关键词
canonical Brownian motion; Girsanov transform; flow of homeomorphisms; martingale problem;
D O I
10.1016/j.jfa.2003.09.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Brownian motion with respect to the metric H-3/2 on Diff(S-1) has been constructed. It is realized on the group of homeomorphisms Homeo(S-1). In this work, we shall resolve the stochastic differential equations on Homeo(S-1) for a given drift Z. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:22 / 46
页数:25
相关论文
共 50 条
  • [1] Solving stochastic differential equations on Homeo(S1) (vol 216, pg 22, 2004)
    Fang, Shizan
    JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (02) : 721 - 721
  • [2] Random Walks on Homeo(S1)
    Dominique Malicet
    Communications in Mathematical Physics, 2017, 356 : 1083 - 1116
  • [3] On solving stochastic differential equations
    Ermakov, Sergej M.
    Pogosian, Anna A.
    MONTE CARLO METHODS AND APPLICATIONS, 2019, 25 (02): : 155 - 161
  • [4] Solving stochastic differential equations with Maple
    Cyganowski, S
    MAPLETECH, 1996, 3 (02): : 38 - 40
  • [5] Limits Theorems for Random Walks on Homeo(S1)
    Luczynska, Gabriela
    Szarek, Tomasz
    JOURNAL OF STATISTICAL PHYSICS, 2022, 187 (01)
  • [6] Solving Parker's transport equation with stochastic differential equations on GPUs
    Dunzlaff, P.
    Strauss, R. D.
    Potgieter, M. S.
    COMPUTER PHYSICS COMMUNICATIONS, 2015, 192 : 156 - 165
  • [7] On solving elliptic stochastic partial differential equations
    Babuska, I
    Chatzipantelidis, P
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (37-38) : 4093 - 4122
  • [8] Stochastic partial differential equations as a tool for solving PDF equations
    Sabel'nikov, V
    Soulard, O
    Progress in Turbulence, 2005, 101 : 107 - 110
  • [9] The use of importance sampling in solving stochastic differential equations
    Mikhailov, GA
    Marchenko, MA
    DOKLADY MATHEMATICS, 2001, 64 (02) : 169 - 172
  • [10] STOCHASTIC MODELLING FOR SOLVING BOUNDARY PARTIAL DIFFERENTIAL EQUATIONS
    Stehlik, Milan
    APLIMAT 2005 - 4TH INTERNATIONAL CONFERENCE, PT II, 2005, : 137 - 141