Fetching the paper…
Reading the bibliography…
Let $\gamma\in (0,2)$, let $h$ be the planar Gaussian free field, and let $D_h$ be the associated $\gamma$-Liouville quantum gravity (LQG) metric.
Bounds for distances and geodesic dimension in Liouville first passage percolation
E. Gwynne and J. Pfeffer · 1903
Earlier work this paper cites.
Comparison of discrete and continuum Liouville first passage percolation
M. Ang · 1904
Earlier work this paper cites.
Tightness of Liouville first passage percolation for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
J. Ding, J. Dubédat, A. Dunlap, and H. Falconet · 1904
Earlier work this paper cites.
Weak LQG metrics and Liouville first passage percolation
J. Dubédat, H. Falconet, E. Gwynne, J. Pfeffer, and X. Sun · 1905
Earlier work this paper cites.
Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
Conformal covariance 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.
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.
Local metrics of the Gaussian free field
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
The dimension of the boundary of a Liouville quantum gravity metric ball
E. Gwynne · 1909
Earlier work this paper cites.
Quantum geometry of bosonic strings
A. M. Polyakov · 1981
Earlier work this paper cites.
Quantum geometry of fermionic strings
A. M. Polyakov · 1981
Earlier work this paper cites.
Sur le chaos multiplicatif
J.-P. Kahane · 1985
Earlier work this paper cites.
Conformal invariance and intersections of random walks
B. Duplantier and K.-H. Kwon · 1988
Earlier work this paper cites.
Fractal structure of 2D-quantum gravity
V. Knizhnik, A. Polyakov, and A. Zamolodchikov · 1988
Earlier work this paper cites.
Analytic study of fractal structure of quantized surface in two-dimensional quantum gravity
Y. Watabiki · 1992
Earlier work this paper cites.
Values of Brownian intersection exponents. I. Half-plane exponents
G. F. Lawler, O. Schramm, and W. Werner · 2001
Earlier work this paper cites.
Values of Brownian intersection exponents. II. Plane exponents
G. F. Lawler, O. Schramm, and W. Werner · 2001
Earlier work this paper cites.
Values of Brownian intersection exponents. III. Two-sided exponents
G. F. Lawler, O. Schramm, and W. Werner · 2002
Earlier work this paper cites.
Uniform infinite planar triangulations
O. Angel and O. Schramm · 2003
Earlier work this paper cites.
Gaussian free fields for mathematicians
S. Sheffield · 2007
Cited alongside, same era.
KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
Cited alongside, same era.
Thick points of the Gaussian free field
X. Hu, J. Miller, and Y. Peres · 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.
Liouville quantum gravity on the Riemann sphere
F. David, A. Kupiainen, R. Rhodes, and V. Vargas · 2016
Later among the works it cites.
Polyakov’s formulation of 2 d 2d bosonic string theory
C. Guillarmou, R. Rhodes, and V. Vargas · 2016
Later among the works it cites.
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2016
Later among the works it cites.
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. Barral, X. Jin, R. Rhodes, and V. Vargas · 2013
Cited alongside, same era.
Uniqueness and universality of the Brownian map
J.-F. Le Gall · 2013
Cited alongside, same era.
The Brownian map is the scaling limit of uniform random plane quadrangulations
G. Miermont · 2013
Cited alongside, same era.
A contour line of the continuum Gaussian free field
O. Schramm and S. Sheffield · 2013
Cited alongside, same era.
Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
Cited alongside, same era.
Renormalization of critical Gaussian multiplicative chaos and KPZ relation
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
Cited alongside, same era.
Gaussian multiplicative chaos and applications: A review
R. Rhodes and V. Vargas · 2014
Cited alongside, same era.
J. Miller and S. Sheffield · 2016
Later among the works it cites.
J. Miller and S. Sheffield · 2016
Later among the works it cites.
Basic properties of the infinite critical-FK random map
L. Chen · 2017
Later among the works it cites.
A mating-of-trees approach for graph distances in random planar maps
E. Gwynne, N. Holden, and X. Sun · 2017
Later among the works it cites.
E. Gwynne and J. Miller · 2017
Later among the works it cites.
Random walk on random planar maps: spectral dimension, resistance, and displacement
E. Gwynne and J. Miller · 2017
Later among the works it cites.
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E. Gwynne, J. Miller, and S. Sheffield · 2017
Later among the works it cites.
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J. Miller and S. Sheffield · 2017
Later among the works it cites.
The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
J. Ding and E. Gwynne · 2018
Later among the works it cites.
Heat kernel for Liouville Brownian motion and Liouville graph distance
J. Ding, O. Zeitouni, and F. Zhang · 2018
Later among the works it cites.
Anomalous diffusion of random walk on random planar maps
E. Gwynne and T. Hutchcroft · 2018
Later among the works it cites.
The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions
J. Miller and W. Qian · 2018
Later among the works it cites.
A distance exponent for Liouville quantum gravity
E. Gwynne, N. Holden, and X. Sun · 2019
Closest in time.
Brownian disks and the Brownian snake
J.-F. Le Gall · 2019
Closest in time.