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

  • Werner W
  • Wu H
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Abstract

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.

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Werner, W., & Wu, H. (2013). From CLE($\kappa$) to SLE($\kappa,\rho$)’s. Electronic Journal of Probability, 18(none). https://doi.org/10.1214/ejp.v18-2376

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