Characterizing the path-independent property of the Girsanov density for degenerated stochastic differential equations

Bo Wu; Jiang-Lun Wu

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arXiv · 1612.03691

Characterizing the path-independent property of the Girsanov density for degenerated stochastic differential equations

Bo Wu·Jiang-Lun Wu

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Abstract

In this paper, we derive a characterization theorem for the path-independent property of the density of the Girsanov transformation for {\it degenerated} stochastic differential equations (SDEs), extending the characterization theorem of \cite{twwy} for the non-degenerated SDEs. We further extends our consideration to non-Lipschitz SDEs with jumps and with degenerated diffusion coefficients, which generalizes the corresponding characterization theorem established in \cite{hqwu}.

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Bo Wu, Jiang-Lun Wu. 2016-12-12. Characterizing the path-independent property of the Girsanov density for degenerated stochastic differential equations. https://arxiv.org/abs/1612.03691

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