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Conformal loop ensembles are random collections of loops in a simply connected domain, whose laws are characterized by a natural conformal invariance property.
On the random-cluster model. I. Introduction and relation to other models
C. M. Fortuin and P. W. Kasteleyn · 1972
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Markov random fields
Y. A. Rozanov · 1982
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Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
R. G. Edwards and A. D. Sokal · 1988
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The fuzzy Potts model
C. Maes and K. Vande Velde · 1995
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Percolation on pre-Sierpinski carpets
T. Kumagai · 1997
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Positive correlations in the fuzzy Potts model
O. Häggström · 1999
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Continuous martingales and Brownian motion
D. Revuz and M. Yor · 1999
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Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
S. Smirnov · 2001
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Conformal restriction: the chordal case
G. Lawler, O. Schramm, and W. Werner · 2003
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Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. Lawler, O. Schramm, and W. Werner · 2004
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Conformally invariant processes in the plane
G. Lawler · 2005
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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SLE coordinate changes
O. Schramm and D. B. Wilson · 2005
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Two-dimensional critical percolation: the full scaling limit
F. Camia and C. M. Newman · 2006
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The random-cluster model
G. Grimmett · 2006
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Commutation relations for Schramm-Loewner evolutions
J. Dubédat · 2007
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The dimension of the SLE curves
V. Beffara · 2008
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Uniqueness of the critical probability for percolation in the two-dimensional Sierpiński carpet lattice
Y. Higuchi and X.-Y. Wu · 2008
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Duality of chordal SLE
D. Zhan · 2008
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Duality of Schramm-Loewner evolutions
J. Dubédat · 2009
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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.
Conformal field theory and statistical mechanics
J. Cardy · 2010
Cited alongside, same era.
Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
S. Smirnov · 2010
Cited alongside, same era.
Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times
E. Gwynne, C. Mao, and X. Sun · 2015
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E. Gwynne and X. Sun · 2015
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Scaling limits for the critical Fortuin-Kastelyn model on a random planar map III: finite volume case
E. Gwynne and X. Sun · 2015
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Smirnov’s observable for free boundary conditions, interfaces and crossing probabilities
K. Izyurov · 2015
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Conformal invariance of boundary touching loops of FK Ising model
A. Kemppainen and S. Smirnov · 2015
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S. Smirnov · 2010
Cited alongside, same era.
Duality of chordal SLE, II
D. Zhan · 2010
Cited alongside, same era.
Random soups, carpets and fractal dimensions
Ş. Nacu and W. Werner · 2011
Cited alongside, same era.
Universality in the 2D Ising model and conformal invariance of fermionic observables
D. Chelkak and S. Smirnov · 2012
Cited alongside, same era.
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
S. Sheffield and W. Werner · 2012
Cited alongside, same era.
Ising interfaces and free boundary conditions
C. Hongler and K. Kytölä · 2013
Cited alongside, same era.
Liouville quantum gravity spheres as matings of finite-diameter trees
J. Miller and S. Sheffield · 2015
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On bounded-type thin local sets of the two-dimensional Gaussian free field
J. Aru, A. Sepúlveda, and W. Werner · 2016
Closest in time.
Convergence of the topology of critical Fortuin-Kasteleyn planar maps to that of CLE κ
E. Gwynne and J. Miller · 2016
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Gaussian free field light cones and SLE ( ρ ) κ {}_{\kappa}(\rho)
J. Miller and S. Sheffield · 2016
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Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
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Imaginary geometry II: reversibility of SLE κ ( ρ 1 , ρ 2 ) {\rm SLE}_{\kappa}(\rho_{1};\rho_{2}) for κ ∈ ( 0 , 4 ) \kappa\in(0,4)
J. Miller and S. Sheffield · 2016
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Imaginary geometry III: reversibility of SLE κ
J. Miller and S. Sheffield · 2016
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Non-simple SLE curves are not determined by their range
J. Miller, S. Sheffield, and W. Werner · 2016
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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Quantum gravity and inventory accumulation
S. Sheffield · 2016
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Lecture notes, 2016
W. Werner · 2016
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Random curves, scaling limits and Loewner evolutions
A. Kemppainen and S. Smirnov · 2017
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Conformal loop ensembles on Liouville quantum gravity
J. Miller, S. Sheffield, and W. Werner · 2017
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Labeled CLE interfaces and the Gaussian free field fan
J. Miller, S. Sheffield, and W. Werner · 2017
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Connection probabilities for conformal loop ensembles
J. Miller and W. Werner · 2017
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On thin local sets of the Gaussian free field
A. Sepúlveda · 2017
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