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Girsanov formula for $G$-Brownian motion: the degenerate case

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 نشر من قبل Guomin Liu
 تاريخ النشر 2018
  مجال البحث
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 تأليف Guomin Liu




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In this paper, we prove the Girsanov formula for $G$-Brownian motion without the non-degenerate condition. The proof is based on the perturbation method in the nonlinear setting by constructing a product space of the $G$-expectation space and a linear space that contains a standard Brownian motion. The estimates for exponential martingale of $G$-Brownian motion are important for our arguments.

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