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We study connection probabilities between vertices of the square lattice for the critical random-cluster (FK) model with cluster weight 2, which is related to the critical Ising model.
Theory of toeplitz determinants and the spin correlations of the two-dimensional Ising model. I
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C.M. Fortuin and P.W. Kasteleyn · 1972
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The Two-Dimensional Ising Model
Barry M. McCoy and Tai Tsun Wu · 1973
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Correlation-function identities for general planar Ising systems
J. Groeneveld, R.J. Boel, and P.W. Kasteleyn · 1978
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Infinite conformal symmetry in two-dimensional quantum field theory
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
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Infinite conformal symmetry of critical fluctuations in two dimensions
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
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Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
Robert G. Edwards and Alan D. Sokal · 1988
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Density and uniqueness in percolation
R. M. Burton and M. Keane · 1989
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Scaling and renormalization in statistical physics
John L. Cardy · 1996
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
Stanislav Smirnov · 2001
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Gregory F. Lawler · 2005
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Steffen Rohde and Oded Schramm · 2005
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A. B. Zamolodchikov · 2005
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Federico Camia and Charles M. Newman · 2009
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Oded Schramm, Scott Sheffield, and David B. Wilson · 2009
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