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In [arXiv:1806.06668], we have studied the Boltzmann random triangulation of the disk coupled to an Ising model on its faces with Dobrushin boundary condition at its critical temperature.
Liouville quantum gravity surfaces with boundary as matings of trees
M. Ang and E. Gwynne · 1903
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Simple peeling of planar maps with application to site percolation
T. Budd and N. Curien · 1909
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The Two-Dimensional Ising Model
B. McCoy and T. T. Wu · 1973
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Ising model on a dynamical planar random lattice: exact solution
V. A. Kazakov · 1986
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The Ising model on a random planar lattice: the structure of the phase transition and the exact critical exponents
D. V. Boulatov and V. A. Kazakov · 1987
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Chromatic sums revisited
W. T. Tutte · 1995
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Construction of non-critical string field theory by transfer matrix formalism in dynamical triangulation
Y. Watabiki · 1995
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Quantum geometry: a statistical field theory approach
J. Ambjørn, B. Durhuus, and T. Jonsson · 1997
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The Potts- q q random matrix model: loop equations, critical exponents, and rational case
B. Eynard and G. Bonnet · 1999
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Lorentzian and Euclidean quantum gravity - analytical and numerical results
J. Ambjørn, J. Jurkiewicz, and R. Loll · 2000
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Simple conformal loop ensembles on Liouville Quantum Gravity
J. Miller, S. Sheffield, and W. Werner · 2002
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Growth and percolation on the uniform infinite planar triangulation
O. Angel · 2003
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Uniform infinite planar triangulations
O. Angel and O. Schramm · 2003
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The degree distribution in bipartite planar maps: applications to the Ising model
M. Bousquet-Mélou and G. Schaeffer · 2003
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Interfaces in the vertex-decorated Ising model on random triangulations of the disk
J. Turunen · 2003
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An overview of some stochastic stability methods
S. Foss and T. Konstantopoulos · 2004
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Graphs on surfaces and their applications
S. K. Lando and A. K. Zvonkin · 2004
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Scaling of percolation on infinite planar maps, I
O. Angel · 2005
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Mixed correlation functions in the 2-matrix model, and the Bethe ansatz
B. Eynard and N. Orantin · 2005
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Percolations on random maps I: Half-plane models
O. Angel and N. Curien · 2015
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Counting surfaces
B. Eynard · 2016
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Computing real roots of real polynomials … \dots and now for real!
A. Kobel, F. Rouillier, and M. Sagraloff · 2016
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Counting coloured planar maps: differential equations
O. Bernardi and M. Bousquet-Mélou · 2017
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Peeling random planar maps, 2017
N. Curien · 2017
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Asymptotics of bivariate analytic functions with algebraic singularities
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J. R. Sendra, F. Winkler, and S. Pérez-Díaz · 2008
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