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We find explicit formulas for the probabilities of general boundary visit events for planar loop-erased random walks, as well as connectivity events for branches in the uniform spanning tree.
Über die partiellen Differenzengleichungen der mathematischen Physik
R. Courant, K. Friedrichs, and H. Lewy · 1928
Earlier work this paper cites.
Coincidence probabilities
S. Karlin and J. McGregor · 1959
Earlier work this paper cites.
On the vector representations of induced matroids
B. Lindström · 1973
Earlier work this paper cites.
Highest weight representations of infinite dimensional Lie algebras
V. Kac · 1980
Earlier work this paper cites.
Infinite conformal symmetry in two-dimensional quantum field theory
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
Earlier work this paper cites.
Infinite conformal symmetry of critical fluctuations in two dimensions
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
Earlier work this paper cites.
Binomial determinants, paths, and hook length formulae
I. Gessel and G. Viennot · 1985
Earlier work this paper cites.
Degenerate conformal field theories and explicit expressions for some null vectors
L. Benoit and Y. Saint-Aubin · 1988
Earlier work this paper cites.
BRST approach to minimal models
G. Felder · 1989
Earlier work this paper cites.
Braid matrices and structure constants for minimal conformal models
G. Felder, J. Fröhlich, and G. Keller · 1989
Earlier work this paper cites.
Representations of the Virasoro algebra
B. L. Feĭgin and D. B. Fuchs · 1990
Earlier work this paper cites.
Intersections of random walks
G. F. Lawler · 1991
Earlier work this paper cites.
Choosing a spanning tree for the integer lattice uniformly
R. Pemantle · 1991
Earlier work this paper cites.
Generating random spanning trees more quickly than the cover time
D. Wilson · 1996
Earlier work this paper cites.
Conformal field theory
P. Di Francesco, P. Mathieu, and D. Sénéchal · 1997
Earlier work this paper cites.
The asymptotic determinant of the discrete Laplacian
R. Kenyon · 2000
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
Earlier work this paper cites.
Loop-erased walks and total positivity
S. Fomin · 2001
Earlier work this paper cites.
SLE \mathrm{SLE} , CFT and zig-zag probabilities
M. Bauer and D. Bernard · 2003
Earlier work this paper cites.
A guide to stochastic Löwner evolution and its applications
W. Kager and B. Nienhuis · 2004
Earlier work this paper cites.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. F. Lawler, O. Schramm, and W. Werner · 2004
Earlier work this paper cites.
Multiple Schramm-Loewner evolutions and statistical mechanics martingales
M. Bauer, D. Bernard, and K. Kytölä · 2005
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Conformally invariant processes in the plane
G. F. Lawler · 2005
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Basic properties of SLE \mathrm{SLE}
S. Rohde and O. Schramm · 2005
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S. M. Flores and P. Kleban · 2015
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S. M. Flores and P. Kleban · 2015
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Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs
R. W. Kenyon and D. B. Wilson · 2015
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