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Simple conformal loop ensembles (CLE) are a class of random collection of simple non-intersecting loops that are of particular interest in the study of conformally invariant systems.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
Earlier work this paper cites.
Values of Brownian intersection exponents. II. Plane exponents
G. F. Lawler, O. Schramm, and W. Werner · 2001
Earlier work this paper cites.
Conformal restriction: the chordal case
G. Lawler, O. Schramm, and W. Werner · 2003
Earlier work this paper cites.
SLEs as boundaries of clusters of Brownian loops
W. Werner · 2003
Earlier work this paper cites.
The Brownian loop soup
G. F. Lawler and W. Werner · 2004
Earlier work this paper cites.
Some recent aspects of random conformally invariant systems
W. Werner · 2006
Earlier work this paper cites.
The conformally invariant measure on self-avoiding loops
W. Werner · 2008
Earlier work this paper cites.
Reversibility of chordal SLE
D. Zhan, · 2008
Cited alongside, same era.
SLE and the free field: partition functions and couplings
J. Dubédat · 2009
Cited alongside, same era.
Contour lines of the two-dimensional discrete Gaussian free field
O. Schramm and S. Sheffield · 2009
Cited alongside, same era.
Conformal radii for conformal loop ensembles
O. Schramm, S. Sheffield, and D. B. Wilson · 2009
Cited alongside, same era.
Exploration trees and conformal loop ensembles
S. Sheffield · 2009
Cited alongside, same era.
Random soups, carpets and fractal dimensions
Ş. Nacu and W. Werner · 2011
Cited alongside, same era.
Minkowski content and natural parameterization for the Schramm-Loewner evolution,
Universality in the 2D Ising model and conformal invariance of fermionic observables
D. Chelkak and S. Smirnov · 2012
Later among the works it cites.
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
S. Sheffield and W. Werner · 2012
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Conformal loop ensembles and the stress-energy tensor
B. Doyon · 2013
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On conformally invariant CLE explorations
W. Werner and H. Wu, · 2013
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From CLE( κ \kappa ) to SLE( κ , ρ \kappa,\rho ),
W. Werner and H. Wu, · 2013
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Convergence of Ising interfaces to Schramm’s SLEs,
D. Chelkak, H. Duminil-Copin, C. Hongler, A. Kemppainen, and S. Smirnov · 2014
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G. Lawler, and M.A. Rezaei
Cited in the paper.
Multi-point Green’s functions for SLE and an estimate of Beffara
G. F. Lawler and B. M. Werness
Cited in the paper.
J. Miller and S. Sheffield. Imaginary Geometry I. Interacting SLEs, preprint
Cited in the paper.
J. Miller and S. Sheffield. Imaginary Geometry II. Reversibility of SLE ( ρ 1 ; ρ 2 ) κ {}_{\kappa}(\rho_{1};\rho_{2}) for κ ∈ ( 0 , 4 ) \kappa\in(0,4) , preprint
Cited in the paper.
J. Miller and S. Sheffield. Imaginary Geometry III. Reversibility of SLE κ
Cited in the paper.
J. Miller and S. Sheffield. Imaginary Geometry IV: interior rays, whole-plane reversibility, and space-filling trees, preprint
Cited in the paper.