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Zbl 0765.60038
Azéma, J.; Yor, M.
On the zeros of continuous martingales. (Sur les zéros des martingales continues.)
(French)
[A] Séminaire de probabilités XXVI, Lect. Notes Math. 1526, 248-306 (1992). ISBN 3-540-56021-1/pbk

[For the entire collection see Zbl 0754.00008.]\par The origin of this paper is the problem to characterize the class of martingales which vanish on the random set on which a given Brownian motion equals 0. One method to solve this problem is enlargement of filtration and Girsanov's theorem. The problems treated here are generalizations of the above. An important concept is ``relative martingales'', which, essentially, is a class of processes which are martingales outside some random set $H$.
[A.Gut (Uppsala)]
MSC 2000:
*60G44 Martingales with continuous parameter

Keywords: Brownian motion; Girsanov's theorem

Citations: Zbl 0754.00008

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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