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We provide the first mathematical proof that the connective constant of the hexagonal lattice is equal to $\sqrt{2+\sqrt 2}$.
Principles of Polymer Chemistry,
P. Flory, · 1953
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Further results on the rate of convergence to the connective constant of the hypercubical lattice
J. M. Hammersley and D. J. A. Welsh, · 1962
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Exact critical point and critical exponents of O(n) models in two dimensions
B. Nienhuis, · 1982
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Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
B. Nienhuis, · 1984
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Self-avoiding walks,
N. Madras and G. Slade, · 1993
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On the scaling limit of planar self-avoiding walk
G. Lawler, O. Schramm and W. Werner, · 2004
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Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. Lawler, O. Schramm and W. Werner, · 2004
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Towards conformal invariance of 2D lattice models
S. Smirnov, · 2006
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Discretely holomorphic parafermions and integrable loop models,
J. Cardy and Y. Ikhlef, · 2009
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Universality in the 2D Ising model and conformal invariance of fermionic observables
D. Chelkak and S. Smirnov, · 2009
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Discrete complex analysis and probability
S. Smirnov, · 2010
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