THE FEYNMAN-KAC FORMULA FOR SYMMETRIC MARKOV PROCESSES

Citation:

Ying Jiangang.THE FEYNMAN-KAC FORMULA FOR SYMMETRIC MARKOV PROCESSES[J].Chinese Annals of Mathematics B,1997,18(3):293~300
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Authors:

Ying Jiangang;

Foundation:

the State Education Commission of China and the National Natural Science Foundation of China
Abstract: Let $X$ be an $m$-symmetric Markov process and $M$ a multiplicative functional of $X$ such that the $M$-subprocess of $X$ is also $m$-symmetric. The author characterizes the Dirichlet form associated with the subprocess in terms of that associated with $X$ and the bivariate Revuz measure of $M$.

Keywords:

Dirichlet forms, Markov processes, Feynman-Kac formula

Classification:

31C25, 60J40, 60B57
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