82 citations · 179 across the 13 of their papers we have counts for
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math.PR2006★ 82 cited
Conformal radii for conformal loop ensembles
Oded Schramm, Scott Sheffield, David B. Wilson
The conformal loop ensembles CLE(k), defined for k in [8/3, 8], are random collections of loops in a planar domain which are conjectured scaling limits of the O(n) loop models. We…
math.PR2006★ 8 cited
Exploration trees and conformal loop ensembles
Scott Sheffield
We 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 confor…
math.PR2006★ 1 cited
Contour lines of the two-dimensional discrete Gaussian free field
Oded Schramm, Scott Sheffield
We prove that the chordal contour lines of the discrete Gaussian free field converge to forms of SLE(4). Specifically, there is a constant lambda > 0 such that when h is an interpo…