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This work is the first in a series of papers devoted to the construction and study of scaling limits of dynamical and near-critical planar percolation and related objects like invasion percolation and the Minimal Spanning Tree.
Univalent functions
Christian Pommerenke · 1975
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The incipient infinite cluster in two-dimensional percolation
Harry Kesten · 1986
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Scaling relations for 2 2 D-percolation
Harry Kesten · 1987
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Geometry of sets and measures in Euclidean spaces
Pertti Mattila · 1995
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The geometry of critical percolation and conformal invariance
M. Aizenman · 1996
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Dynamical percolation
Olle Häggström, Yuval Peres, and Jeffrey E. Steif · 1997
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Strict concavity of the intersection exponent for Brownian motion in two and three dimensions
Gregory F. Lawler · 1998
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Noise sensitivity of Boolean functions and applications to percolation
Itai Benjamini, Gil Kalai, and Oded Schramm · 1999
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Percolation
Geoffrey Grimmett · 1999
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Proof of the van den Berg-Kesten conjecture
David Reimer · 2000
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Scaling limits of loop-erased random walks and uniform spanning trees
Oded Schramm · 2000
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The birth of the infinite cluster: finite-size scaling in percolation
C. Borgs, J. T. Chayes, H. Kesten, and J. Spencer · 2001
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Values of Brownian intersection exponents. II. Plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2001
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
Stanislav Smirnov · 2001
Earlier work this paper cites.
Critical exponents for two-dimensional percolation
Stanislav Smirnov and Wendelin Werner · 2001
Earlier work this paper cites.
Analyticity of intersection exponents for planar Brownian motion
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2002
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Hausdorff dimensions for SLE 6 \rm SLE_{6}
Vincent Beffara · 2004
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Two-dimensional scaling limits via marked nonsimple loops
Federico Camia, Luiz Renato G. Fontes, and Charles M. Newman · 2006
Earlier work this paper cites.
Two-dimensional critical percolation: the full scaling limit
Federico Camia and Charles M. Newman · 2006
Cited alongside, same era.
Excursion decompositions for SLE and Watts’ crossing formula
Julien Dubédat · 2006
Cited alongside, same era.
Towards conformal invariance of 2D lattice models
Stanislav Smirnov · 2006
Cited alongside, same era.
Critical percolation exploration path and SLE 6 {\rm SLE}_{6} : a proof of convergence
Federico Camia and Charles M. Newman · 2007
Cited alongside, same era.
Commutation relations for Schramm-Loewner evolutions
Julien Dubédat · 2007
Cited alongside, same era.
Lectures on two-dimensional critical percolation
Wendelin Werner · 2007
Cited alongside, same era.
The Fourier spectrum of critical percolation
Christophe Garban, Gábor Pete, and Oded Schramm · 2010
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The scaling limit of the Minimal Spanning Tree — a preliminary report
Christophe Garban, Gábor Pete, and Oded Schramm · 2010
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Off-critical lattice models and massive SLEs
Nikolai Makarov and Stanislav Smirnov · 2010
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Quantitative noise sensitivity and exceptional times for percolation
Oded Schramm and Jeffrey Steif · 2010
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Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters
Michael Damron and Artëm Sapozhnikov · 2011
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The dimension of the SLE curves
Vincent Beffara · 2008
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Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals
Takashi Hara · 2008
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Near-critical percolation in two dimensions
Pierre Nolin · 2008
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Reversibility of chordal SLE
Dapeng Zhan · 2008
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Ising (conformal) fields and cluster area measures
Federico Camia and Charles M. Newman · 2009
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The growth exponent for planar loop-erased random walk
Robert Masson · 2009
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Oded Schramm’s contributions to noise sensitivity
Christophe Garban · 2011
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A natural parametrization for the Schramm-Loewner evolution
Gregory F. Lawler and Scott Sheffield · 2011
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On the scaling limits of planar percolation
Oded Schramm and Stanislav Smirnov · 2011
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Schramm’s proof of Watts’ formula
Scott Sheffield and David B. Wilson · 2011
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Federico Camia, Christophe Garban, and Charles M. Newman · 2012
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Alan Hammond, Gábor Pete, and Oded Schramm · 2012
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Gregory F. Lawler and Mohammad A. Rezaei · 2012
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Gregory F. Lawler and Mohammad A. Rezaei · 2012
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Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths
Gregory F. Lawler and Brigitta Vermesi · 2012
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The scaling limits of near-critical and dynamical percolation, 2013, arXiv:1305.5526 [math.PR]
Christophe Garban, Gábor Pete, and Oded Schramm · 2013
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Christophe Garban, Gábor Pete, and Oded Schramm · 2013
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SLE curves and natural parametrization
Gregory F. Lawler and Wang Zhou · 2013
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