Dimension and natural parametrization for SLE curves
Probability
2007-12-20 v1 Mathematical Physics
math.MP
Abstract
Some possible definitions for the natural parametrization of SLE (Schramm-Loewner evolution) paths are proposed in terms of various limits. One of the definitions is used to give a new proof of the Hausdorff dimension of SLE paths.
Cite
@article{arxiv.0712.3263,
title = {Dimension and natural parametrization for SLE curves},
author = {Gregory F. Lawler},
journal= {arXiv preprint arXiv:0712.3263},
year = {2007}
}