Almost sure multifractal spectrum for the tip of an SLE curve
Probability
2011-06-14 v2 Complex Variables
Abstract
The tip multifractal spectrum of a two-dimensional curve is one way to describe the behavior of the uniformizing conformal map of the complement near the tip. We give the tip multifractal spectrum for a Schramm-Loewner evolution (SLE) curve, we prove that the spectrum is valid with probability one, and we give applications to the scaling of harmonic measure at the tip.
Keywords
Cite
@article{arxiv.0911.3983,
title = {Almost sure multifractal spectrum for the tip of an SLE curve},
author = {Fredrik Johansson Viklund and Gregory F. Lawler},
journal= {arXiv preprint arXiv:0911.3983},
year = {2011}
}
Comments
43 pages, 2 figures