Abstract
We construct and study the conformal loop ensembles , defined for , using branching variants of called exploration trees. The are random collections of countably many loops in a planar domain that are characterized by certain conformal invariance and Markov properties. We conjecture that they are the scaling limits of various random loop models from statistical physics, including the loop models
Citation
Scott Sheffield. "Exploration trees and conformal loop ensembles." Duke Math. J. 147 (1) 79 - 129, 15 March 2009. https://doi.org/10.1215/00127094-2009-007
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