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Explicit semimartingale representation of Brownian motion in a wedge - MaRDI portal

Explicit semimartingale representation of Brownian motion in a wedge (Q909356)

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scientific article; zbMATH DE number 4137146
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Explicit semimartingale representation of Brownian motion in a wedge
scientific article; zbMATH DE number 4137146

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    Explicit semimartingale representation of Brownian motion in a wedge (English)
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    1990
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    \textit{R. J. Williams} [Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 161-176 (1985; Zbl 0535.60042)] showed that the reflected Brownian motion in a wedge with constant direction of reflection is a semimartingale. The author identifies the martingale part as the Brownian motion. He then describes the behaviour of the finite variation part and in doing so he verifies in the affirmative a conjecture of Williams.
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    reflected Brownian motion
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    constant direction of reflection
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