Exploration trees and conformal loop ensembles
Sheffield, Scott
Duke Math. J., Tome 146 (2009) no. 1, p. 79-129 / Harvested from Project Euclid
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We construct and study the conformal loop ensembles $\mathrm{CLE}(\kappa)$ , defined for $8/3 \leq \kappa \leq 8$ , using branching variants of $\mathrm{SLE}(\kappa)$ called exploration trees. The $\mathrm{CLE}(\kappa)$ 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 $O(n)$ loop models
Publié le : 2009-03-15
Classification:  60D05,  82B27 
@article{1235657189,
     author = {Sheffield, Scott},
     title = {Exploration trees and conformal loop ensembles},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 79-129},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235657189}
}

Sheffield, Scott. Exploration trees and conformal loop ensembles. Duke Math. J., Tome 146 (2009) no. 1, pp.  79-129. http://gdmltest.u-ga.fr/item/1235657189/