Exploration trees and conformal loop ensembles

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dc.creatorSheffield, Scott
dc.date2006-09-06
dc.date2006-11-23
dc.date.accessioned2026-07-07T07:24:34Z
dc.date.available2026-07-07T07:24:34Z
dc.descriptionWe construct and study the conformal loop ensembles CLE(kappa), defined for all kappa between 8/3 and 8, using branching variants of SLE(kappa) called exploration trees. The conformal loop ensembles 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.
dc.description57 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0609167
dc.identifierhttp://arxiv.org/abs/math/0609167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116403
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.titleExploration trees and conformal loop ensembles
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