Strong path convergence from Loewner driving function convergence (Q414278)
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scientific article; zbMATH DE number 6032937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong path convergence from Loewner driving function convergence |
scientific article; zbMATH DE number 6032937 |
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Strong path convergence from Loewner driving function convergence (English)
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11 May 2012
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The Loewner differential equation, provided by Loewner in 1923, relates a planar self-avoiding curve to a real-valued continuous function (the ``Loewner driving function'') via conformal mappings. The authors introduce ``uniform convergence'' as a short-hand for ``convergence in law'' with respect to the uniform metric, when speaking of random curves. The goal of the present article is to provide a more general criterion for deducing uniform convergence, which is less dependent on specific features of the model at hand.
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strong path-convergence
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Loewner driving convergence
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