Optimal Holder exponent for the SLE path
Probability
2019-12-19 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.0904.1180,
title = {Optimal Holder exponent for the SLE path},
author = {Fredrik Johansson and Gregory F. Lawler},
journal= {arXiv preprint arXiv:0904.1180},
year = {2019}
}