Schramm-Loewner Equations Driven by Symmetric Stable Processes
Probability
2009-11-13 v2 Mathematical Physics
math.MP
Abstract
We consider shape, size and regularity of the hulls of the chordal Schramm-Loewner evolution driven by a symmetric alpha-stable process. We obtain derivative estimates, show that the complements of the hulls are Hoelder domains, prove that the hulls have Hausdorff dimension 1, and show that the trace is right-continuous with left limits almost surely.
Cite
@article{arxiv.0708.1805,
title = {Schramm-Loewner Equations Driven by Symmetric Stable Processes},
author = {Zhen-Qing Chen and Steffen Rohde},
journal= {arXiv preprint arXiv:0708.1805},
year = {2009}
}
Comments
22 pages, 4 figures