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Let $\gamma \in (0,2)$ and let $h$ be the random distribution on $\mathbb C$ which describes a $\gamma$-Liouville quantum gravity (LQG) cone.
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Bijective counting of tree-rooted maps and shuffles of parenthesis systems
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J.-F. Le Gall · 2007
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S. Sheffield · 2007
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KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
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B. Duplantier and S. Sheffield · 2011
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KPZ formula for log-infinitely divisible multifractal random measures
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J. Barral, X. Jin, R. Rhodes, and V. Vargas · 2013
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Uniqueness and universality of the Brownian map
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The Brownian map is the scaling limit of uniform random plane quadrangulations
G. Miermont · 2013
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A contour line of the continuum Gaussian free field
O. Schramm and S. Sheffield · 2013
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Geodesic distances in Liouville quantum gravity
J. Ambjørn and T. G. Budd · 2014
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Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
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Renormalization of critical Gaussian multiplicative chaos and KPZ relation
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
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On the heat kernel and the Dirichlet form of Liouville Brownian motion
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SLE as a mating of trees in Euclidean geometry
N. Holden and X. Sun · 2016
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Liouville heat kernel: regularity and bounds
P. Maillard, R. Rhodes, V. Vargas, and O. Zeitouni · 2016
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J. Miller and S. Sheffield · 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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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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KPZ relation does not hold for the level lines and SLE κ
J. Aru · 2015
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Diffusion in planar Liouville quantum gravity
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Invariance principles for random walks in cones
J. Duraj and V. Wachtel · 2015
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Imaginary geometry I: interacting SLEs
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First passage percolation on the exponential of two-dimensional branching random walk
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Brownian motion correlation in the peanosphere for κ > 8 \kappa>8
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Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times
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The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
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Schnyder woods, SLE(16), and Liouville quantum gravity
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Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
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Percolation on triangulations: a bijective path to Liouville quantum gravity
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Anomalous diffusion of random walk on random planar maps
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