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XVII: 22, 198-204, LNM 986 (1983)
Girsanov type formula for a Lie group valued Brownian motion (Brownian motion, Stochastic differential geometry)
A formula for the change of measure of a Lie group valued Brownian motion is stated and proved. It needs a Borel correspondence between paths in the Lie algebra and paths in the group, that transforms all (continuous) semimartingales in the algebra into their stochastic exponential
Comment: For more on stochastic exponentials in Lie groups, see Hakim-Dowek-L├ępingle 2023 and Arnaudon 2612
Keywords: Changes of measure, Brownian motion in a manifold, Lie group
Nature: Original
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