Open Access
Winter 2010 Hiding a constant drift—a strong solution
Vilmos Prokaj, Walter Schachermayer
Illinois J. Math. 54(4): 1463-1480 (Winter 2010). DOI: 10.1215/ijm/1348505537

Abstract

Let $B$ be a Brownian motion. We show that there is a process $H$ predictable in the natural filtration of $B$, such that $H⋅S$ is a Brownian motion in its own filtration, where $S_t = B_t + t$. In other words, $H$ hides the constant drift. This gives a positive answer to a question posed by Marc Yor.

Citation

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Vilmos Prokaj. Walter Schachermayer. "Hiding a constant drift—a strong solution." Illinois J. Math. 54 (4) 1463 - 1480, Winter 2010. https://doi.org/10.1215/ijm/1348505537

Information

Published: Winter 2010
First available in Project Euclid: 24 September 2012

zbMATH: 1259.60056
MathSciNet: MR2981856
Digital Object Identifier: 10.1215/ijm/1348505537

Subjects:
Primary: 60G44 , 60H05 , 60J65
Secondary: 60G05 , 60H10

Rights: Copyright © 2010 University of Illinois at Urbana-Champaign

Vol.54 • No. 4 • Winter 2010
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