SLE(\kappa,\rho) martingales and duality
Probability
2007-05-23 v3 Mathematical Physics
math.MP
Abstract
Various features of the two-parameter family of Schramm-Loewner evolutions SLE(\kappa,\rho) are studied. In particular, we derive certain restriction properties that lead to a ``strong duality'' conjecture, which is an identity in law between the outer boundary of a variant of the SLE(\kappa) process for \kappa \ge 4 and a variant of the SLE(16/\kappa) process.
Cite
@article{arxiv.math/0303128,
title = {SLE(\kappa,\rho) martingales and duality},
author = {Julien Dubedat},
journal= {arXiv preprint arXiv:math/0303128},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/009117904000000793 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)