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Let $\gamma \in (0,2)$, let $h$ be the planar Gaussian free field, and consider the $\gamma$-Liouville quantum gravity (LQG) metric associated with $h$.
Bounds for distances and geodesic dimension in Liouville first passage percolation
E. Gwynne and J. Pfeffer · 1903
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Comparison of discrete and continuum Liouville first passage percolation
M. Ang · 1904
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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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Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
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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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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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Local metrics of the Gaussian free field
E. Gwynne and J. Miller · 1905
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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity
J. Barkley and T. Budd · 1908
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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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Quantum geometry of bosonic strings
A. M. Polyakov · 1981
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Sur le chaos multiplicatif
J.-P. Kahane · 1985
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Fractal structure of 2D-quantum gravity
V. Knizhnik, A. Polyakov, and A. Zamolodchikov · 1988
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Analytic study of fractal structure of quantized surface in two-dimensional quantum gravity
Y. Watabiki · 1992
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Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
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R. J. Adler and J. E. Taylor · 2007
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S. Sheffield · 2007
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The dimension of the SLE curves
V. Beffara · 2008
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SLE and the free field: partition functions and couplings
J. Dubédat · 2009
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X. Hu, J. Miller, and Y. Peres · 2010
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P. Mörters and Y. Peres · 2010
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Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined
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Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
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Extreme nesting in the conformal loop ensemble
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Uniqueness and universality of the Brownian map
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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. Ambjörn and T. G. Budd · 2014
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Liouville quantum gravity as a mating of trees
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An elementary approach to Gaussian multiplicative chaos
N. Berestycki · 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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Subsequential scaling limits for Liouville graph distance
J. Ding and A. Dunlap · 2018
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Liouville metric of star-scale invariant fields: tails and Weyl scaling
J. Dubédat and H. Falconet · 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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Liouville first-passage percolation: Subsequential scaling limits at high temperature
J. Ding and A. Dunlap · 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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