English

SLE curves and natural parametrization

Probability 2013-05-28 v2 Complex Variables

Abstract

Developing the theory of two-sided radial and chordal SLE\mathit{SLE}, we prove that the natural parametrization on SLEκ\mathit{SLE}_{\kappa} curves is well defined for all κ<8\kappa<8. Our proof uses a two-interior-point local martingale.

Cite

@article{arxiv.1006.4936,
  title  = {SLE curves and natural parametrization},
  author = {Gregory F. Lawler and Wang Zhou},
  journal= {arXiv preprint arXiv:1006.4936},
  year   = {2013}
}

Comments

Published in at http://dx.doi.org/10.1214/12-AOP742 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T15:40:52.700Z