Open Access
2013 From CLE($\kappa$) to SLE($\kappa,\rho$)'s
Wendelin Werner, Hao Wu
Author Affiliations +
Electron. J. Probab. 18: 1-20 (2013). DOI: 10.1214/EJP.v18-2376


We show how to connect together the loops of a simple Conformal Loop Ensemble (CLE) in order to construct samples of chordal SLE$_{\kappa}$ processes and their SLE$_{\kappa}(\rho)$ variants, and we discuss some consequences of this construction.


Download Citation

Wendelin Werner. Hao Wu. "From CLE($\kappa$) to SLE($\kappa,\rho$)'s." Electron. J. Probab. 18 1 - 20, 2013.


Accepted: 12 March 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1338.60205
MathSciNet: MR3035764
Digital Object Identifier: 10.1214/EJP.v18-2376

Primary: 60J67
Secondary: 28A80

Keywords: CLE , Conformal restriction , Hausdorff dimension , SLE

Vol.18 • 2013
Back to Top