TRANSFORMATION OF SYMMETRIC MULTIPLICATIVE FUNCTIONALS

TRANSFORMATION OF SYMMETRIC MULTIPLICATIVE FUNCTIONALS

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摘要 In the present paper the transformation of symmetric Markov processes by symmetric martingale multiplicative functionals is studied and the corresponding Dirichlet form is formulated. In the present paper the transformation of symmetric Markov processes by symmetric martingale multiplicative functionals is studied and the corresponding Dirichlet form is formulated.

作者 AnHong YingJiangang

机构地区 CenterofNetworking Dept.ofMath.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期451-457,共7页 高校应用数学学报（英文版）（B辑）

基金 in partby the National Natural Science Founda-tion of China(1 950 1 0 36)

关键词 Markov processes Dirichlet forms multiplicative functional. Markov processes,Dirichlet forms,multiplicative functional.

分类号 O211.62 [理学—概率论与数理统计]

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参考文献1

1JINMENGWEI,YINGJIANGANG.REPRESENTATION OF SYMMETRIC SUPER-MARTINGALE MULTIPLICATIVE FUNCTIONALS[J].Chinese Annals of Mathematics,Series B,2002,23(4):469-474. 被引量：1

二级参考文献13

1Chen, Z., Fitzsimmons, P., Takeda, M., Ying, J. ＆ Zhang, T., Absolute continuity of symmetric Markov processes [R], preprint, 2001.
2Dellacherie, C., Potentiels de Green et fonctionneles additives [M], Sém. de Probabilités Ⅳ, Lecture Notes in Math., 124(1970), Springer-Verlag.
3Fitzsimmons, P. J., Absolute continuity of symmetric diffusion [J], Ann. Probab., 25:1(1997), 230-258.
4Fitzsimmons, P. J., Even and odd continuous additive functionals [A], In Dirichlet forms and stochastic processes, Proc. Internat. Conf. on Dirichlet Forms and Stochastic Processes [C] (Beijing, 1993), 139-154, de Gruyter, Berlin, 1995.
5Fitzsimmons, P. J. & Getoor, R. K., Revuz measures and time changes [J], Math. Z., 199(1988),233-256.
6Fukushima, M., Oshima, Y. & Takeda, M., Dirichlet forms and symmetric Markov processes [M], Walter de Gruyter, Berlin-New York, 1994.
7Fukushima, M. & Takeda, M., A transformation of a symmetric Markov process and the DonskerVaradhan theory [J], Osaka J. Math., 21(1984), 311-326.
8Getoor, R. K., Excessive measures [M], Birkhauser, 1990.
9Getoor, R. K. & Sharpe, M. J., Naturality, standardness, and weak duality for Markov processes [J],Z. W., 67(1984), 1-62.
10Kunita, H., Absolute continuity of Markov processes [J], Lecture Notes in Mathematics, 511(1976),44-77.

1YING JINAGANG.THE FEYNMAN-KAC FORMULA FOR SYMMETRIC MARKOV PROCESSES[J].Chinese Annals of Mathematics,Series B,1997,18(3):293-300.
2JINMENGWEI,YINGJIANGANG.REPRESENTATION OF SYMMETRIC SUPER-MARTINGALE MULTIPLICATIVE FUNCTIONALS[J].Chinese Annals of Mathematics,Series B,2002,23(4):469-474. 被引量：1
3YING JiangangDepartment of Mathematics, Zhejiang University, Hangzhou 310027, China,Istitute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.Energy functionals and killing transform[J].Chinese Science Bulletin,1997,42(19):1593-1596.
4JIN MENGWEI, YING JIANGANG Department of Mathematics, Zhejiang University, Hongzhou 310027, China. Email: .jmw@math.zju.edu.cn Department of Mathematics, Zhejiang University, Hongzhou 310027, China. Email: jying@math.zju.edu.cn.ADDITIVE FUNCTIONALS AND PERTURBATION OF SEMIGROUP[J].Chinese Annals of Mathematics,Series B,2001,22(4):503-512. 被引量：1
5YING JIANGGANG.STRONG SUBORDINATION OF SYMMETRIC DIRICHLET FORMS[J].Chinese Annals of Mathematics,Series B,1998,19(1):81-86.
6马志明.狄氏型(Dirichlet Form)简介[J].重庆师范学院学报（自然科学版）,2001,18(1):1-7. 被引量：1
7刘源.Dirichlet Form of Product of Variational Fractals[J].Tsinghua Science and Technology,2003,8(5):541-546.
8杨庆季.SOLVING SEMILINEAR DIFFERENTIAL EQUATIONS BY PROBABILISTIC METHODS[J].Acta Mathematicae Applicatae Sinica,1993,9(2):143-154.
9P.J.FITZSIMMONS.The Dirichlet Form of a Gradient-type Drift Transformation of a Symmetric Diffusion[J].Acta Mathematica Sinica,English Series,2008,24(7):1057-1066.
10Xin CHEN,Jian WANG.Intrinsic contractivity properties of Feynman-Kac semigroups for symmetric jump processes with infinite range jumps[J].Frontiers of Mathematics in China,2015,10(4):753-776. 被引量：1

Applied Mathematics(A Journal of Chinese Universities)

2002年第4期

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TRANSFORMATION OF SYMMETRIC MULTIPLICATIVE FUNCTIONALS

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