Optimal Holder exponent for the SLE path
By Fredrik Johansson, Gregory F. Lawler. 2009
65 citations recorded by the source corpus.
We prove an upper bound on the optimal H\"older 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.
Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/7fc6aa07c5089bda36569a93949438ee0e52c2b9
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In Applied Mathematics
In Mathematical Physics
- F. Viklund
- Gregory F. Lawler
- Julien Dubédat
- Wendelin Werner
- Stanislav Smirnov
- Vincent Beffara
- Dapeng Zhan
- JA. Sanchez
In Statistics and Probability
- F. Viklund
- Gregory F. Lawler
- Vincent Beffara
- Wendelin Werner
- Stanislav Smirnov
- Dapeng Zhan
- Julien Dubédat
- Scott Sheffield
Citations in the corpus
- Almost sure multifractal spectrum for the tip of an SLE curve (2009, background): “The proof in [9] and [5] uses a careful analysis of a relatively simple one-dimensional diffusion.”