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We study simple random walk on the class of random planar maps which can be encoded by a two-dimensional random walk with i.i.d.
Bounds for distances and geodesic dimension in Liouville first passage percolation
E. Gwynne and J. Pfeffer · 1903
Earlier work this paper cites.
Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
Infinite stable Boltzmann planar maps are subdiffusive
N. Curien and C. Marzouk · 1910
Earlier work this paper cites.
Mating of trees for random planar maps and Liouville quantum gravity: a survey
E. Gwynne, N. Holden, and X. Sun · 1910
Earlier work this paper cites.
On the enumeration of tree-rooted maps
R. C. Mullin · 1967
Earlier work this paper cites.
On the enumeration of planar maps
W. T. Tutte · 1968
Earlier work this paper cites.
An approximation of partial sums of independent RV’s, and the sample DF. II
J. Komlós, P. Major, and G. Tusnády · 1976
Earlier work this paper cites.
Sur le chaos multiplicatif
J.-P. Kahane · 1985
Earlier work this paper cites.
The continuum random tree. I
D. Aldous · 1991
Earlier work this paper cites.
The continuum random tree. II. An overview
D. Aldous · 1991
Earlier work this paper cites.
The continuum random tree. III
D. Aldous · 1993
Earlier work this paper cites.
Quantum geometry and diffusion
J. Ambjørn, K. N. Anagnostopoulos, L. Jensen, T. Ichihara, and Y. Watabiki · 1998
Earlier work this paper cites.
The spectral dimension of 2D quantum gravity
J. Ambjørn, J. L. Nielsen, J. Rolf, D. Boulatov, and Y. Watabiki · 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
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
Earlier work this paper cites.
Recurrence of distributional limits of finite planar graphs
I. Benjamini and O. Schramm · 2001
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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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Random walks on mated-CRT planar maps and Liouville Brownian motion
N. Berestycki and E. Gwynne · 2003
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Circle packing: a mathematical tale
K. Stephenson · 2003
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Bijective counting of Kreweras walks and loopless triangulations
O. Bernardi · 2007
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Bijective counting of tree-rooted maps and shuffles of parenthesis systems
O. Bernardi · 2007
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Relations between scaling exponents in unimodular random graphs
J. R. Lee · 2007
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Gaussian free fields for mathematicians
S. Sheffield · 2007
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The Alexander-Orbach conjecture holds in high dimensions
G. Kozma and A. Nachmias · 2009
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Markov chains and mixing times
D. A. Levin, Y. Peres, and E. L. Wilmer · 2009
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Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
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Simple random walk on the uniform infinite planar quadrangulation: subdiffusivity via pioneer points
Basic properties of the infinite critical-FK random map
L. Chen · 2017
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Geometric and spectral properties of causal maps
N. Curien, T. Hutchcroft, and A. Nachmias · 2017
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The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E. Gwynne, J. Miller, and S. Sheffield · 2017
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Conformal growth rates and spectral geometry on distributional limits of graphs
J. R. Lee · 2017
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Schnyder woods, SLE(16), and Liouville quantum gravity
Y. Li, X. Sun, and S. S. Watson · 2017
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I. Benjamini and N. Curien · 2013
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Recurrence of planar graph limits
O. Gurel-Gurevich and A. Nachmias · 2013
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On the Riemann surface type of random planar maps
J. T. Gill and S. Rohde · 2013
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A contour line of the continuum Gaussian free field
O. Schramm and S. Sheffield · 2013
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Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
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Gaussian multiplicative chaos and applications: A review
R. Rhodes and V. Vargas · 2014
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Spectral Dimension of Liouville Quantum Gravity
R. Rhodes and V. Vargas · 2014
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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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Percolation on triangulations: a bijective path to Liouville quantum gravity
O. Bernardi, N. Holden, and X. Sun · 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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E. Gwynne, A. Kassel, J. Miller, and D. B. Wilson · 2018
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An invariance principle for ergodic scale-free random environments
E. Gwynne, J. Miller, and S. Sheffield · 2018
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Discrete Uniformizing Metrics on Distributional Limits of Sphere Packings
J. R. Lee · 2018
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Upper bounds on Liouville first-passage percolation and Watabiki’s prediction
J. Ding and S. Goswami · 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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Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
M. Biskup, J. Ding, and S. Goswami · 2020
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An almost sure KPZ relation for SLE and Brownian motion
E. Gwynne, N. Holden, and J. Miller · 2020
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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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