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15 September 2011 Optimal Hölder exponent for the SLE path
Gregory F. Lawler, Fredrik Johansson Viklund
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Duke Math. J. 159(3): 351-383 (15 September 2011). DOI: 10.1215/00127094-1433376

Abstract

We prove an upper bound on the optimal Hölder exponent for the chordal SLE path parameterized by capacity and thereby establish the optimal exponent as conjectured by Lind. We also give a new proof of the lower bound. Our proofs are based on sharp estimates of moments of the derivative of the inverse map. In particular, we improve an estimate of the second author.

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Gregory F. Lawler. Fredrik Johansson Viklund. "Optimal Hölder exponent for the SLE path." Duke Math. J. 159 (3) 351 - 383, 15 September 2011. https://doi.org/10.1215/00127094-1433376

Information

Published: 15 September 2011
First available in Project Euclid: 29 August 2011

zbMATH: 1230.60086
MathSciNet: MR2831873
Digital Object Identifier: 10.1215/00127094-1433376

Subjects:
Primary: 30C35 , 60D05
Secondary: 60K35

Rights: Copyright © 2011 Duke University Press

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Vol.159 • No. 3 • 15 September 2011
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