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Discrete Liouville first passage percolation (LFPP) with parameter $\xi > 0$ is the random metric on a sub-graph of $\mathbb Z^2$ obtained by assigning each vertex $z$ a weight of $e^{\xi h(z)}$, where $h$ is the discrete Gaussian free field.
Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach
E. Gwynne, N. Holden, J. Pfeffer, and G. Remy · 1903
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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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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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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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Random surfaces and Liouville quantum gravity
E. Gwynne · 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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Regularité des trajectoires des fonctions aléatoires gaussiennes
X. Fernique · 1975
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Crossing estimates from metric graph and discrete GFF
J. Ding, M. Wirth, and H. Wu · 2001
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Scaling limits of crossing probabilities in metric graph GFF
M. Liu and H. Wu · 2004
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Brownian loops and the central charge of a Liouville random surface
M. Ang, M. Park, J. Pfeffer, and S. Sheffield · 2005
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Tightness of supercritical Liouville first passage percolation
J. Ding and E. Gwynne · 2005
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Random fields and geometry
R. J. Adler and J. E. Taylor · 2007
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Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
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J. Aru and A. Sepúlveda · 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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J. Ding and L. Li · 2018
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Percolation for level-sets of Gaussian free fields on metric graphs
J. Ding and M. Wirth · 2018
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The First Passage Sets of the 2D Gaussian Free Field: Convergence and Isomorphisms
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Topics in occupation times and Gaussian free fields
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M. Bramson, J. Ding, and O. Zeitouni · 2016
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Liouville quantum gravity on the Riemann sphere
F. David, A. Kupiainen, R. Rhodes, and V. Vargas · 2016
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Crossing probabilities for Voronoi percolation
V. Tassion · 2016
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Introduction to the Gaussian Free Field and Liouville Quantum Gravity
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J. Aru, T. Lupu, and A. Sepúlveda · 2020
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The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions
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Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric
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Uniqueness of the critical and supercritical Liouville quantum gravity metrics
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