Electronic Journal of Probability

From CLE($\kappa$) to SLE($\kappa,\rho$)'s

Wendelin Werner and Hao Wu

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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.

Article information

Electron. J. Probab., Volume 18 (2013), paper no. 36, 20 pp.

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60J67: Stochastic (Schramm-)Loewner evolution (SLE)
Secondary: 28A80: Fractals [See also 37Fxx]

SLE CLE Conformal restriction Hausdorff dimension

This work is licensed under a Creative Commons Attribution 3.0 License.


Werner, Wendelin; Wu, Hao. From CLE($\kappa$) to SLE($\kappa,\rho$)'s. Electron. J. Probab. 18 (2013), paper no. 36, 20 pp. doi:10.1214/EJP.v18-2376. https://projecteuclid.org/euclid.ejp/1465064261

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