Fetching the paper…
Reading the bibliography…
A mated-CRT map is a random planar map obtained as a discretized mating of correlated continuum random trees.
On the enumeration of tree-rooted maps
R. C. Mullin · 1967
Earlier work this paper cites.
An approximation of partial sums of independent RV’s, and the sample DF. II
J. Komlós, P. Major, and G. Tusnády · 1976
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.
The continuum random tree. I
D. Aldous · 1991
Earlier work this paper cites.
The continuum random tree. II. An overview
D. Aldous · 1991
Earlier work this paper cites.
The continuum random tree. III
D. Aldous · 1993
Earlier work this paper cites.
Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments
A. Y. Zaitsev · 1998
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
Earlier work this paper cites.
Recurrence of distributional limits of finite planar graphs
I. Benjamini and O. Schramm · 2001
Earlier work this paper cites.
Circle packing: a mathematical tale
K. Stephenson · 2003
Earlier work this paper cites.
Random planar curves and Schramm-Loewner evolutions
W. Werner · 2004
Earlier work this paper cites.
Conformally invariant processes in the plane
G. F. Lawler · 2005
Earlier work this paper cites.
Basic properties of SLE
S. Rohde and O. Schramm · 2005
Earlier work this paper cites.
Bijective counting of Kreweras walks and loopless triangulations
O. Bernardi · 2007
Earlier work this paper cites.
Bijective counting of tree-rooted maps and shuffles of parenthesis systems
O. Bernardi · 2007
Earlier work this paper cites.
Gaussian free fields for mathematicians
S. Sheffield · 2007
Earlier work this paper cites.
D. Zhan · 2008
Earlier work this paper cites.
Duality of Schramm-Loewner evolutions
J. Dubédat · 2009
Earlier work this paper cites.
D. Zhan · 2010
Cited alongside, same era.
Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
Cited alongside, same era.
Recurrence of planar graph limits
O. Gurel-Gurevich and A. Nachmias · 2013
Cited alongside, same era.
On the Riemann surface type of random planar maps
J. T. Gill and S. Rohde · 2013
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 S. Sheffield · 2016
Later among the works it cites.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
Later among the works it cites.
Quantum gravity and inventory accumulation
S. Sheffield · 2016
Later among the works it cites.
An elementary approach to Gaussian multiplicative chaos
N. Berestycki · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
B. Duplantier, J. Miller, and S. Sheffield · 2014
Cited alongside, same era.
Gaussian multiplicative chaos and applications: A review
R. Rhodes and V. Vargas · 2014
Cited alongside, same era.
A glimpse of the conformal structure of random planar maps
N. Curien · 2015
Cited alongside, same era.
An almost sure KPZ relation for SLE and Brownian motion
E. Gwynne, N. Holden, and J. Miller · 2015
Cited alongside, same era.
Bipolar orientations on planar maps and SLE 12
R. Kenyon, J. Miller, S. Sheffield, and D. B. Wilson · 2015
Cited alongside, same era.
Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
J. Miller and S. Sheffield · 2015
Cited alongside, same era.
Boundaries of planar graphs, via circle packings
O. Angel, M. T. Barlow, O. Gurel-Gurevich, and A. Nachmias · 2016
Cited alongside, same era.
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.
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.
Conformal growth rates and spectral geometry on distributional limits of graphs
J. R. Lee · 2017
Later among the works it cites.
Schnyder woods, SLE(16), and Liouville quantum gravity
Y. Li, X. Sun, and S. S. Watson · 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.
Percolation on triangulations: a bijective path to Liouville quantum gravity
O. Bernardi, N. Holden, and X. Sun · 2018
Closest in time.
Anomalous diffusion of random walk on random planar maps
E. Gwynne and T. Hutchcroft · 2018
Closest in time.
E. Gwynne, A. Kassel, J. Miller, and D. B. Wilson · 2018
Closest in time.
An invariance principle for ergodic scale-free random environments
E. Gwynne, J. Miller, and S. Sheffield · 2018
Closest in time.
SLE as a mating of trees in Euclidean geometry
N. Holden and X. Sun · 2018
Closest in time.
Discrete Uniformizing Metrics on Distributional Limits of Sphere Packings
J. R. Lee · 2018
Closest in time.
A distance exponent for Liouville quantum gravity
E. Gwynne, N. Holden, and X. Sun · 2019
Closest in time.
Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 2019
Closest in time.