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We investigate the critical Fortuin-Kasteleyn (cFK) random map model.
O ( n ) {\rm O}(n) vector model on a planar random lattice: spectrum of anomalous dimensions
I. K. Kostov · 1989
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Exact solution of the O ( n ) {\rm O}(n) model on a random lattice
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Quantum geometry: a statistical field theory approach
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Recurrence of distributional limits of finite planar graphs
I. Benjamini and O. Schramm · 2001
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Uniform infinite planar triangulations
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Planar maps as labeled mobiles
J. Bouttier, P. Di Francesco, and E. Guitter · 2004
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Local limit of labeled trees and expected volume growth in a random quadrangulation
P. Chassaing and B. Durhuus · 2006
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The random-cluster model
G. Grimmett · 2006
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Local structure of random quadrangulations
M. Krikun · 2006
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Bijective counting of tree-rooted maps and shuffles of parenthesis systems
O. Bernardi · 2007
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The two uniform infinite quadrangulations of the plane have the same law
L. Ménard · 2010
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Counting colored planar maps: algebraicity results
O. Bernardi and M. Bousquet-Mélou · 2011
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Quantum gravity and inventory accumulation
S. Sheffield · 2011
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A view from infinity of the uniform infinite planar quadrangulation
N. Curien, L. Ménard, and G. Miermont · 2013
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Recurrence of planar graph limits
O. Gurel-Gurevich and A. Nachmias · 2013
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Recurrence of bipartite planar maps
J. E. Björnberg and S. Ö. Stefánsson · 2014
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Aspects of random maps
G. Miermont · 2014
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Critical exponents on fortuin–kastelyn weighted planar maps
N. Berestycki, B. Laslier, and G. Ray · 2015
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I. Benjamini and N. Curien · 2012
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G. Borot, J. Bouttier, and E. Guitter · 2012
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More on the O ( n ) O(n) model on random maps via nested loops: loops with bending energy
G. Borot, J. Bouttier, and E. Guitter · 2012
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A recursive approach to the O ( n ) O(n) model on random maps via nested loops
G. Borot, J. Bouttier, and E. Guitter · 2012
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Loop models, random matrices and planar algebras
A. Guionnet, V. F. R. Jones, D. Shlyakhtenko, and P. Zinn-Justin · 2012
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N. Curien · 2015
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Scaling limits for the critical fortuin-kasteleyn model on a random planar map I: cone times
E. Gwynne, C. Mao, and X. Sun · 2015
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E. Gwynne, and X. Sun · 2015
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E. Gwynne, and X. Sun · 2015
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