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arXiv 2004-10-05 DOI 10.1214/009117904000000432 0 views

Absolute continuity of symmetric Markov processes

Chen, Z. -Q. · Fitzsimmons, P. J. · Takeda, M. · Ying, J. · Zhang, T. -S.

Original · EN

We study Girsanov's theorem in the context of symmetric Markov processes, extending earlier work of Fukushima-Takeda and Fitzsimmons on Girsanov transformations of ``gradient type.'' We investigate the most general Girsanov transformation leading to another symmetric Markov process. This investigation requires an extension of the forward-backward martingale method of Lyons-Zheng, to cover the case of processes with jumps.

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