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Derivative of the Wiener measure on trajectories in compact Lie groups - MaRDI portal

Derivative of the Wiener measure on trajectories in compact Lie groups (Q1889664)

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scientific article; zbMATH DE number 2121419
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Derivative of the Wiener measure on trajectories in compact Lie groups
scientific article; zbMATH DE number 2121419

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    Derivative of the Wiener measure on trajectories in compact Lie groups (English)
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    7 December 2004
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    This paper studies a `Girsanov formula' for Brownian motion with values in a compact Lie group with respect to shifts along flows which are generated by smooth vector fields. A particular feature is the explicit form of the formula. The paper is formulated in the context of the theory of differentiable measures.
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    Cameron Martin space
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    Lie algebra
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    exponential map
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    logarithmic derivative of measures
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