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Let $M$ be the infinite spanning-tree-weighted random planar map, which is the local limit of finite random planar maps sampled with probability proportional to the number of spanning trees they admit.
L. Fredes and A. Sepulveda · 1901
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Scaling limits for planar aggregation with subcritical fluctuations
J. Norris, V. Silvestri, and A. Turner · 1902
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Bounds for distances and geodesic dimension in Liouville first passage percolation
E. Gwynne and J. Pfeffer · 1903
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Tightness of Liouville first passage percolation for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
J. Ding, J. Dubédat, A. Dunlap, and H. Falconet · 1904
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Weak LQG metrics and Liouville first passage percolation
J. Dubédat, H. Falconet, E. Gwynne, J. Pfeffer, and X. Sun · 1905
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Conformal covariance of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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Local metrics of the Gaussian free field
E. Gwynne and J. Miller · 1905
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Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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On the enumeration of tree-rooted maps
R. C. Mullin · 1967
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Extremal properties of half-spaces for spherically invariant measures
V. N. Sudakov and B. S. Cirel ′ · 1974
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The Brunn-Minkowski inequality in Gauss space
C. Borell · 1975
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One-dimensional Brownian motion and the three-dimensional Bessel process
J. W. Pitman · 1975
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Diffusion-limited aggregation, a kinetic critical phenomenon
T. A. Witten and L. M. Sander · 1981
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Diffusion-limited aggregation
T. A. Witten and L. M. Sander · 1983
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Density factorizations for Brownian motion, meander and the three-dimensional Bessel process, and applications
J.-P. Imhof · 1984
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Fractal dimension of dielectric breakdown
L. Niemeyer, L. Pietronero, and H. J. Wiesmann · 1984
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Sur le chaos multiplicatif
J.-P. Kahane · 1985
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Universality, nonuniversality, and the effects of anisotropy on diffusion-limited aggregation
P. Meakin · 1986
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How long are the arms in DLA?
H. Kesten · 1987
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Conformal spectra of polymers on a random surface
B. Duplantier and I. Kostov · 1988
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Fractal structure of 2D-quantum gravity
V. Knizhnik, A. Polyakov, and A. Zamolodchikov · 1988
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Upper bounds for the growth rate of DLA
H. Kesten · 1990
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Generating random spanning trees more quickly than the cover time
D. B. Wilson · 1996
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Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
G. Schaeffer · 1997
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Laplacian growth as one-dimensional turbulence
M. Hastings and L. Levitov · 1998
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Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments
A. Y. Zaitsev · 1998
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Diffusion-limited aggregation: A model for pattern formation
T. C. Halsey · 2000
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Diffusion-limited aggregation: A kinetic critical phenomenon?
L. M. Sander · 2000
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Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
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Uniform spanning forests
I. Benjamini, R. Lyons, Y. Peres, and O. Schramm · 2001
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Recurrence of distributional limits of finite planar graphs
I. Benjamini and O. Schramm · 2001
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Aggregation in the plane and Loewner’s equation
L. Carleson and N. Makarov · 2001
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A glimpse of the conformal structure of random planar maps
N. Curien · 2015
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Convergence of the self-avoiding walk on random quadrangulations to SLE 8/3
E. Gwynne and J. Miller · 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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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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O. Angel · 2003
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Uniform infinite planar triangulations
O. Angel and O. Schramm · 2003
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Planar maps as labeled mobiles
J. Bouttier, P. Di Francesco, and E. Guitter · 2004
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Local structure of random quadrangulations
M. Krikun · 2005
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Conformally invariant processes in the plane
G. F. Lawler · 2005
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Some remarks on Laplacian growth
S. Rohde and M. Zinsmeister · 2005
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Quantum gravity and inventory accumulation
S. Sheffield · 2016
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Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
J. Aru · 2017
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An elementary approach to Gaussian multiplicative chaos
N. Berestycki · 2017
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Upper bounds on the growth rate of Diffusion Limited Aggregation
I. Benjamini and A. Yadin · 2017
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Basic properties of the infinite critical-FK random map
L. Chen · 2017
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Convergence of percolation on uniform quadrangulations with boundary to SLE 6
E. Gwynne and J. Miller · 2017
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Random walk on random planar maps: spectral dimension, resistance, and displacement
E. Gwynne and J. Miller · 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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Stationary Harmonic Measure and DLA in the Upper half Plane
E. B. Procaccia and Y. Zhang · 2017
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Local convergence of large random triangulations coupled with an Ising model
M. Albenque, L. Ménard, and G. Schaeffer · 2018
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Natural parametrization of SLE: the Gaussian free field point of view
S. Benoist · 2018
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The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
J. Ding and E. Gwynne · 2018
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Anomalous diffusion of random walk on random planar maps
E. Gwynne and T. Hutchcroft · 2018
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One-dimensional scaling limits in a planar Laplacian random growth model
A. Sola, A. Turner, and F. Viklund · 2018
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Self-avoiding walks on the UIPQ
A. Caraceni and N. Curien · 2019
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Heat kernel for Liouville Brownian motion and Liouville graph distance
J. Ding, O. Zeitouni, and F. Zhang · 2019
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A distance exponent for Liouville quantum gravity
E. Gwynne, N. Holden, and X. Sun · 2019
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Harmonic functions on mated-CRT maps
E. Gwynne, J. Miller, and S. Sheffield · 2019
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KPZ formulas for the Liouville quantum gravity metric
E. Gwynne and J. Pfeffer · 2019
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Bipolar orientations on planar maps and SLE 12 {\rm SLE}_{12}
R. Kenyon, J. Miller, S. Sheffield, and D. B. Wilson · 2019
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A mating-of-trees approach for graph distances in random planar maps
E. Gwynne, N. Holden, and X. Sun · 2020
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