Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric (Q609347)
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scientific article; zbMATH DE number 5821484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric |
scientific article; zbMATH DE number 5821484 |
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Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric (English)
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30 November 2010
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The existence of the Brownian measure on Jordan curves with respect to the Weil-Petersson metric is proved. As said in the introduction, the key steps are: ``i) the use of a Kählerian diffusion on the space of Jordan curves for which the welding functionals give rise to conformal martingales; ii) the construction of a Douady-Earle type extension of vector fields from the circle to the disk''.
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Jordan curves
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conformal welding
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Weil-Petersson metric
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Douady-Earle extension
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group of diffeomorphisms
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Kähler Brownian motion
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shape representation
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0.8666017
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0.86617476
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0.86551684
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0.86425734
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0.86310464
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