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The conformally invariant metric on CLE$_4$ I: subsequential limits of the non-simple CLE graph metric

Kammerer, Emmanuel et al.
arXiv (All) · Papers
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complex-variablesmathematical-physicsprobability
We consider the conformal loop ensemble (CLE) with the parameter $κ=4$, the critical value at or below which the loops are simple and do not intersect each other or the domain boundary. We show that the loops of a CLE$_4$ uniquely determine a conformally invariant, local, and geodesic metric so that
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