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We continue our study of the inventory accumulation introduced by Sheffield (2011), which encodes a random planar map decorated by a collection of loops sampled from the critical Fortuin-Kasteleyn (FK) model.
Limit distributions for sums of independent random variables
B. V. Gnedenko and A. N. Kolmogorov · 1954
Earlier work this paper cites.
Some limit theorems for sums of independent random quantities with infinite mathematical expectations
E. B. Dynkin · 1955
Earlier work this paper cites.
An invariance principle in renewal theory
J. Lamperti · 1962
Earlier work this paper cites.
On the enumeration of tree-rooted maps
R. C. Mullin · 1967
Earlier work this paper cites.
Excursions in a cone for two-dimensional Brownian motion
M. Shimura · 1985
Earlier work this paper cites.
Regular variation
N. H. Bingham, C. M. Goldie, and J. L. Teugels · 1987
Earlier work this paper cites.
O(n) model on a fluctuating planar lattice. Some exact results
M. Gaudin and I. Kostov · 1989
Earlier work this paper cites.
A bivariate local limit theorem
R. A. Doney · 1991
Earlier work this paper cites.
A limit theorem for two-dimensional random walk conditioned to stay in a cone
M. Shimura · 1991
Earlier work this paper cites.
The O(n) model on a random surface: critical points and large order behaviour
B. Eynard and J. Zinn–Justin · 1992
Earlier work this paper cites.
Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
G. Schaeffer · 1997
Earlier work this paper cites.
Bijective counting of tree-rooted maps and shuffles of parenthesis systems
O. Bernardi · 2007
Earlier work this paper cites.
Tutte polynomial, subgraphs, orientations and sandpile model: new connections via embeddings
O. Bernardi · 2008
Earlier work this paper cites.
Exploration trees and conformal loop ensembles
S. Sheffield · 2009
Earlier work this paper cites.
Probability: theory and examples
R. Durrett · 2010
Earlier work this paper cites.
G. Borot and B. Eynard · 2011
Earlier work this paper cites.
Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
Cited alongside, same era.
A central limit theorem for two-dimensional random walks in a cone
R. Garbit · 2011
Cited alongside, same era.
G. Borot, J. Bouttier, and E. Guitter · 2012
Cited alongside, same era.
More on the O ( n ) O(n) model on random maps via nested loops: loops with bending energy
G. Borot, J. Bouttier, and E. Guitter · 2012
Cited alongside, same era.
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
E. Gwynne and X. Sun · 2015
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E. Gwynne and X. Sun · 2015
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An axiomatic characterization of the Brownian map
J. Miller and S. Sheffield · 2015
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Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
J. Miller and S. Sheffield · 2015
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Liouville quantum gravity spheres as matings of finite-diameter trees
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S. Sheffield and W. Werner · 2012
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.
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J. Miller and S. Sheffield · 2013
Cited alongside, same era.
The scaling limit of uniform random plane maps, via
J. Bettinelli, E. Jacob, and G. Miermont · 2014
Cited alongside, same era.
Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
Cited alongside, same era.
Critical exponents on Fortuin–Kasteleyn weighted planar maps
N. Berestycki, B. Laslier, and G. Ray · 2015
Cited alongside, same era.
Basic properties of the infinite critical-FK random map
L. Chen · 2015
Cited alongside, same era.
J. Miller and S. Sheffield · 2015
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Private communication, 2016
G. Borot · 2016
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Imaginary geometry III: reversibility of SLE κ
J. Miller and S. Sheffield · 2016
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Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2016
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2016
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Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
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J. Miller and S. Sheffield · 2016
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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Quantum gravity and inventory accumulation
S. Sheffield · 2016
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Sandpiles and unicycles on random planar maps
X. Sun and D. B. Wilson · 2016
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Convergence of the topology of critical Fortuin-Kasteleyn planar maps to that of CLE κ
E. Gwynne and J. Miller · 2017
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