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REPRESENTATION OF SYMMETRIC SUPER-MARTINGALE MULTIPLICATIVE FUNCTIONALS 被引量:1

REPRESENTATION OF SYMMETRIC SUPER-MARTINGALE MULTIPLICATIVE FUNCTIONALS
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摘要 The authors introduce concepts of even and odd additive functionals and prove that an even martingale continuous additive functional of a symmetric Markov process vanishes identically.A representation for symmetric super-martingale multiplicative functionals are also given.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第4期469-474,共6页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 Markov processes Additive functional Multiplicative functional 对称上鞅积性泛函 Markov过程 加性泛函 表示法 跳跃 消没 Borel-σ代数
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  • 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.

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