Optimal Holder exponent for the SLE path
arXiv:0904.1180 · 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 J. Lind. We also give a new proof of the lower bound. Our proofs are based on the 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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Cited by in corpus (11)
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