Random Curves by Conformal Welding
Complex Variables
2009-12-18 v1 Mathematical Physics
math.MP
Abstract
We construct a conformally invariant random family of closed curves in the plane by welding of random homeomorphisms of the unit circle given in terms of the exponential of Gaussian Free Field. We conjecture that our curves are locally related to SLE for .
Keywords
Cite
@article{arxiv.0912.3423,
title = {Random Curves by Conformal Welding},
author = {K. Astala and P. Jones and A. Kupiainen and E. Saksman},
journal= {arXiv preprint arXiv:0912.3423},
year = {2009}
}
Comments
5 pages