SLE curves and natural parametrization (Q373585)
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scientific article; zbMATH DE number 6216116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | SLE curves and natural parametrization |
scientific article; zbMATH DE number 6216116 |
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SLE curves and natural parametrization (English)
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17 October 2013
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\textit{G. F. Lawler} and \textit{S. Sheffield} [Ann. Probab. 39, No. 5, 1896--1937 (2011; Zbl 1234.60087)] proposed a definition for a natural parametrization for the Schramm-Loewner evolution \(SLE_\kappa\) in terms of the Doob-Meyer decomposition of a path and conjectured that this definition is valid for all \(\kappa<8\), but could only establish the result for \(\kappa<4(7-\sqrt{33})\). In the paper under review it is shown that the definition is indeed valid for all \(\kappa<8\).
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Schramm-Loewner evolution
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natural parametrization
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Doob-Meyer decomposition
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local martingale
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