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We consider loop-erased random walk (LERW) running between two boundary points of a square grid approximation of a planar simply connected domain.
An approximation of partial sums of independent RV’-s, and the sample DF. I
J. Komlós, P. Major, and G. Tusnády · 1975
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An approximation of partial sums of independent RV’s, and the sample DF. II
J. Komlós, P. Major, and G. Tusnády · 1976
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The asymptotic determinant of the discrete Laplacian
Richard Kenyon · 2000
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Loop-erased walks and total positivity
S. Fomin · 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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Lectures on the coupling method
T. Lindvall · 2002
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Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. F. Lawler, O. Schramm, and W. Werner · 2004
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The Brownian loop soup
G. F. Lawler and W Werner · 2004
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Estimates of random walk exit probabilities and application to loop-erased random walk
M. J. Kozdron and G. F. Lawler · 2005
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Conformally invariant processes in the plane
G. F. Lawler · 2005
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Some estimates for planar random walk and Brownian motion
C. Beneš · 2006
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Random walk loop soup
G. F. Lawler and J. Trujillo Ferreras · 2007
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The growth exponent for planar loop-erased random walk
Robert Masson · 2009
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Exponential tail bounds for loop-erased random walk in two dimensions
M. Barlow and R. Masson · 2010
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Random walk: A modern introduction
G. F. Lawler and V. Limic · 2010
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On the rate of convergence of loop-erased random walk to SLE ( 2 ) (2)
Pivotal, cluster and interface measures for critical planar percolation
C. Garban, G. Pete, and O. Schramm · 2013
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The energy density in the planar Ising model
Clément Hongler and Stanislav Smirnov · 2013
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Intersections of random walks. Reprint of the 1996 ed
G. F. Lawler · 2013
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Multi-point Green’s functions for SLE and an estimate of Beffara
G. F. Lawler and B. M. Werness · 2013
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The probability that planar loop-erased random walk uses a given edge
Gregory F. Lawler · 2014
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Conformal invariance of spin correlations in the planar Ising model
Dmitry Chelkak, Clément Hongler, and Konstantin Izyurov · 2015
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C. Beneš, F. Johansson Viklund, and M. Kozdron · 2013
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Holomorphic spinor observables in the critical ising model
D. Chelkak and K. Izyurov · 2013
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Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs
Richard W. Kenyon and David B. Wilson · 2015
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Minkowski content and natural parameterization for the Schramm-Loewner evolution
Gregory F. Lawler and Mohammad A. Rezaei · 2015
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