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We use Minkowski content (i.e., natural parametrization) of SLE to construct several types of SLE$_\kappa$ loop measures for $\kappa\in(0,8)$.
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Wendelin Werner. The conformally invariant measure on self-avoiding loops. J. Am. Math. Soc
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Dapeng Zhan. Reversibility of chordal SLE. Ann. Probab
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Gregory F. Lawler and Mohammad A. Rezaei. Minkowski content and natural parametrization for the Schramm-Loewner evolution. Annals of Probab
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Dapeng Zhan. Reversibility of whole-plane SLE. Probab. Theory Rel
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Stéphane Benoist and Julien Dubédat. An SLE 2 loop measure. Ann. I. H. Poincare-Pr
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Stéphane Benoist. Classifying conformally invariant loop measures. arXiv:1608.03950, 2016
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Laurence S. Field. Two-sided radial SLE and length-biased chordal SLE. arXiv:1601.03374, 2016
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Gregory F. Lawler and Scott Sheffield. A natural parametrization for the Schramm-Loewner evolution. Annals of Probab
2011
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Scott Sheffield and Wendelin Werner. Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Ann. Math
2012
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Laurence S. Field and Gregory F. Lawler. Reversed Radial SLE and the Brownian Loop Measure. J. Stat. Phys
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Gregory F. Lawler and Wang Zhou. SLE curves and natural parametrization. Ann. Probab
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2016
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Antti Kemppainen and Wendelin Werner. The nested simple conformal loop ensembles in the Riemann sphere. Probab. Theory Related Fields
2016
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2016
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Jason Miller and Scott Sheffield. Imaginary Geometry I: intersecting SLEs. Prob. Theory Related Fields
2016
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Jason Miller and Scott Sheffield. Imaginary Geometry III: reversibility of SLE κ
2016
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Dapeng Zhan. Ergodicity of the tip of an SLE curve. Prob. Theory Related Fields
2016
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