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The loop $O(n)$ model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin $O(n)$ model.
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B. Nienhuis · 1982
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D. Bernard and A. LeClair · 1991
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B. Nienhuis · 1991
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L. Chayes · 1998
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Percolation and number of phases in the two-dimensional Ising model
H.-O. Georgii and Y. Higuchi · 2000
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The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1 q\geq 1
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H. Duminil-Copin · 2012
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H. Duminil-Copin and S. Smirnov · 2012
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The connective constant of the honeycomb lattice equals 2 + 2 \sqrt{2+\sqrt{2}}
H. Duminil-Copin and S. Smirnov · 2012
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Discrete holomorphicity and quantized affine algebras
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S. Smirnov · 2001
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W. Kager and B. Nienhuis · 2004
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Two-dimensional critical percolation: the full scaling limit
F. Camia and C. M. Newman · 2006
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G. Grimmett · 2006
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Holomorphic parafermions in the Potts model and stochastic Loewner evolution
V. Riva and J. Cardy · 2006
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S. Smirnov · 2006
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Y. Ikhlef, R. Weston, M. Wheeler, and P. Zinn-Justin · 2013
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Convergence of Ising interfaces to Schramm’s SLE curves
D. Chelkak, H. Duminil-Copin, C. Hongler, A. Kemppainen, and S. Smirnov · 2014
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Supercritical self-avoiding walks are space-filling
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RSW and box-crossing property for planar percolation
H. Duminil-Copin and V. Tassion · 2015
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Connective constant for a weighted self-avoiding walk on ℤ 2 \mathbb{Z}^{2}
A. Glazman · 2015
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Crossing probabilities for Voronoi percolation
V. Tassion · 2016
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Exponential decay of loop lengths in the loop O ( n ) O(n) model with large n n
H. Duminil-Copin, R. Peled, W. Samotij, and Y. Spinka · 2017
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Continuity of the phase transition for planar random-cluster and Potts models with 1 ≤ q ≤ 4 1\leq q\leq 4
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Uniform Lipschitz function on the triangular lattice have logarithmic variations
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R. Peled and Y. Spinka · 2019
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H. Duminil-Copin · 2020
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