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We consider Boltzmann random triangulations coupled to the Ising model on their faces, under Dobrushin boundary conditions and at the critical point of the model.
Liouville quantum gravity surfaces with boundary as matings of trees
M. Ang and E. Gwynne · 1903
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W. T. Tutte · 1962
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Chromatic solutions. II
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Combinatorial enumeration
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
S. Smirnov · 2001
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The degree distribution in bipartite planar maps: applications to the Ising model
M. Bousquet-Mélou and G. Schaeffer · 2002
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Uniform infinite planar triangulations
O. Angel and O. Schramm · 2003
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