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Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models of measure-endowed random surfaces.
A census of planar maps
W. T. Tutte · 1963
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Continuous state branching processes
J. Lamperti · 1967
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Planar maps are well labeled trees
R. Cori and B. Vauquelin · 1981
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Quantum geometry of bosonic strings
A. M. Polyakov · 1981
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Quantum geometry of fermionic strings
A. M. Polyakov · 1981
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Two-dimensional quantum gravity. Superconductivity at high T C T_{C}
A. Polyakov · 1990
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Lévy processes
J. Bertoin · 1996
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Conjugaison d’arbres et cartes combinatoires aléatoires
G. Schaeffer · 1998
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Spatial branching processes, random snakes and partial differential equations
J.-F. Le Gall · 1999
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Removability theorems for Sobolev functions and quasiconformal maps
P. W. Jones and S. K. Smirnov · 2000
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Random planar lattices and integrated superBrownian excursion
P. Chassaing and G. Schaeffer · 2004
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Uniform infinite planar triangulation and related time-reversed critical branching process
M. Krikun · 2005
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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Introductory lectures on fluctuations of Lévy processes with applications
A. E. Kyprianou · 2006
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Limit of normalized quadrangulations: the Brownian map
J.-F. Marckert and A. Mokkadem · 2006
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Conformal welding and Koebe’s theorem
C. J. Bishop · 2007
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Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
J.-F. Le Gall and F. Paulin · 2008
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Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
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Uniqueness and universality of the Brownian map
J.-F. Le Gall · 2013
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The Brownian map is the scaling limit of uniform random plane quadrangulations
G. Miermont · 2013
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Convergence of the topology of critical Fortuin-Kasteleyn planar maps to that of CLE κ
E. Gwynne and J. Miller · 2016
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Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2016
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2016
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Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
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J. Miller and S. Sheffield · 2016
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O. Schramm and S. Sheffield · 2013
Cited alongside, same era.
N. Curien and J.-F. Le Gall · 2014
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Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
Cited alongside, same era.
The Brownian map: a universal limit for random planar maps
J.-F. Le Gall · 2014
Cited alongside, same era.
E. Gwynne and X. Sun · 2015
Cited alongside, same era.
An axiomatic characterization of the Brownian map
J. Miller and S. Sheffield · 2015
Cited alongside, same era.
Liouville quantum gravity spheres as matings of finite-diameter trees
J. Miller and S. Sheffield · 2015
Cited alongside, same era.
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Imaginary geometry III: reversibility of SLE κ
J. Miller and S. Sheffield · 2016
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J. Miller and S. Sheffield · 2016
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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Quantum gravity and inventory accumulation
S. Sheffield · 2016
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Two perspectives of the 2D unit area quantum sphere and their equivalence
J. Aru, Y. Huang, and X. Sun · 2017
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Scaling limits for the peeling process on random maps
N. Curien and J.-F. Le Gall · 2017
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E. Gwynne and X. Sun · 2017
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Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J. Miller and S. Sheffield · 2017
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Intersections of SLE paths: the double and cut point dimension of SLE
J. Miller and H. Wu · 2017
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