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Let $h$ be the planar Gaussian free field and let $D_h$ be a supercritical Liouville quantum gravity (LQG) metric associated with $h$.
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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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)
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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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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KPZ formulas for the Liouville quantum gravity metric
E. Gwynne and J. Pfeffer · 1905
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Quantum geometry of bosonic strings
A. M. Polyakov · 1981
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Upper semicontinuous functions and the Stone approximation theorem
G. Beer · 1982
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Sur le chaos multiplicatif
J.-P. Kahane · 1985
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Conformal field theories coupled to 2-D gravity in the conformal gauge
F. David · 1988
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Conformal field theory and 2D quantum gravity
J. Distler and H. Kawai · 1989
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Boundary behaviour of conformal maps
C. Pommerenke · 1992
Cited alongside, same era.
Lecture notes on the Gaussian free field
W. Werner and E. Powell · 2004
Cited alongside, same era.
Tightness of supercritical Liouville first passage percolation
J. Ding and E. Gwynne · 2005
Cited alongside, same era.
The distance exponent for Liouville first passage percolation is positive
J. Ding, E. Gwynne, and A. Sepúlveda · 2005
Cited alongside, same era.
Gaussian free fields for mathematicians
S. Sheffield · 2007
Cited alongside, same era.
Geodesics in the Brownian map: Strong confluence and geometric structure
Renormalization of critical Gaussian multiplicative chaos and KPZ relation
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
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Stability of geodesics in the Brownian map
O. Angel, B. Kolesnik, and G. Miermont · 2017
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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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Harmonic functions on mated-CRT maps
E. Gwynne, J. Miller, and S. Sheffield · 2019
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The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions
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J. Miller and W. Qian · 2008
Cited alongside, same era.
Geodesics and metric ball boundaries in Liouville quantum gravity
E. Gwynne, J. Pfeffer, and S. Sheffield · 2010
Cited alongside, same era.
Geodesic networks in Liouville quantum gravity surfaces
E. Gwynne · 2010
Cited alongside, same era.
Geodesics in large planar maps and in the Brownian map
J.-F. Le Gall · 2010
Cited alongside, same era.
Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
Cited alongside, same era.
KPZ formula for log-infinitely divisible multifractal random measures
R. Rhodes and V. Vargas · 2011
Cited alongside, same era.
A contour line of the continuum Gaussian free field
O. Schramm and S. Sheffield · 2013
Cited alongside, same era.
J. Miller and W. Qian · 2020
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J. Miller and S. Sheffield · 2020
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The critical Liouville quantum gravity metric induces the Euclidean topology
J. Ding and E. Gwynne · 2021
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Geodesic stars in random geometry
J.-F. Le Gall · 2021
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An axiomatic characterization of the Brownian map
J. Miller and S. Sheffield · 2021
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Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2021
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2021
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J. Pfeffer · 2021
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Uniqueness of the critical and supercritical Liouville quantum gravity metrics
J. Ding and E. Gwynne · 2023
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