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arxiv: 1112.1211 · v2 · pith:GVIURERWnew · submitted 2011-12-06 · 🧮 math.PR

On conformally invariant CLE explorations

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keywords conformallyinvariantloopsheffieldboundaryconformalconstructdistance
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We study some conformally invariant dynamic ways to construct the Conformal Loop Ensembles with simple loops introduced in earlier papers by Sheffield, and by Sheffield and Werner. One outcome is a conformally invariant way to measure a distance of a CLE(4) loop to the boundary "within" the CLE(4), when one identifies all points of each loop.

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