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This article focuses on the characterization of global multiple Schramm-Loewner evolutions (SLE).
Hölder regularity and dimension bounds for random curves
Michael Aizenman and Almut Burchard · 1999
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
Oded Schramm · 2000
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
Stanislav Smirnov · 2001
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Conformal restriction: the chordal case
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2003
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Conformal invariance of planar loop-erased random walks and uniform spanning trees
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2004
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The Brownian loop soup
Gregory F. Lawler and Wendelin Werner · 2004
Earlier work this paper cites.
Multiple Schramm-Loewner evolutions and statistical mechanics martingales
Michel Bauer, Denis Bernard, and Kalle Kytölä · 2005
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Conformally invariant processes in the plane, volume 114 of Mathematical Surveys and Monographs
Gregory F. Lawler · 2005
Earlier work this paper cites.
Basic properties of SLE
Steffen Rohde and Oded Schramm · 2005
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Conformal restriction and related questions
Wendelin Werner · 2005
Earlier work this paper cites.
Towards conformal invariance of 2D lattice models
Stanislav Smirnov · 2006
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Critical percolation exploration path and
Federico Camia and Charles M. Newman · 2007
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Commutation relations for Schramm-Loewner evolutions
Julien Dubédat · 2007
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On multiple Schramm-Loewner evolutions
Kevin Graham · 2007
Earlier work this paper cites.
The configurational measure on mutually avoiding SLE paths
Michael J. Kozdron and Gregory F. Lawler · 2007
Cited alongside, same era.
Conformally invariant scaling limits: an overview and a collection of problems
Oded Schramm · 2007
Cited alongside, same era.
Intersection probabilities for a chordal SLE path and a semicircle
Tom Alberts and Michael J. Kozdron · 2008
Cited alongside, same era.
Duality of Schramm-Loewner evolutions
Julien Dubédat · 2009
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Partition functions, loop measure, and versions of SLE
Gregory F. Lawler · 2009
Cited alongside, same era.
Contour lines of the two-dimensional discrete Gaussian free field
Oded Schramm and Scott Sheffield · 2009
Cited alongside, same era.
A solution space for a system of null-state partial differential equations: Part 4
Steven M. Flores and Peter Kleban · 2015
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Pure partition functions of multiple SLEs
Kalle Kytölä and Eveliina Peltola · 2016
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Imaginary geometry I: Interacting SLEs
Jason Miller and Scott Sheffield · 2016
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Continuity of the phase transition for planar random-cluster and Potts models with
Hugo Duminil-Copin, Vladas Sidoravicius, and Vincent Tassion · 2017
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Critical Ising interfaces in multiply-connected domains
Konstantin Izyurov · 2017
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Random curves, scaling limits and Loewner evolutions
Antti Kemppainen and Stanislav Smirnov · 2017
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Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
Stanislav Smirnov · 2010
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Universality in the 2D Ising model and conformal invariance of fermionic observables
Dmitry Chelkak and Stanislav Smirnov · 2012
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Conformal loop ensembles: the Markovian characterization and the loop-soup construction
Scott Sheffield and Wendelin Werner · 2012
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The energy density in the planar Ising model
Clément Hongler and Stanislav Smirnov · 2013
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Wendelin Werner and Hao Wu · 2013
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Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler, Antti Kemppainen, and Stanislav Smirnov · 2014
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Alex Karrila · 2018
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Global and local multiple SLEs for
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Boundary correlations in planar LERW and UST
Alex Karrila, Kalle Kytölä, and Eveliina Peltola · 2020
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Non-simple SLE curves are not determined by their range
Jason Miller, Scott Sheffield, and Wendelin Werner · 2020
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Hao Wu · 2020
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