Fetching the paper…
Reading the bibliography…
We consider the abelian sandpile model and the uniform spanning unicycle on random planar maps.
A problem of arrangements
A. Dvoretzky and T. Motzkin · 1947
Earlier work this paper cites.
On the enumeration of tree-rooted maps
R. C. Mullin · 1967
Earlier work this paper cites.
Self-organized criticality
P. Bak, C. Tang, and K. Wiesenfeld · 1988
Earlier work this paper cites.
Height correlations in the abelian sandpile model
S. N. Majumdar and D. Dhar · 1991
Earlier work this paper cites.
Exact height probabilities in the abelian sandpile model
V. B. Priezzhev · 1993
Earlier work this paper cites.
Chip firing and the Tutte polynomial
C. Merino López · 1997
Earlier work this paper cites.
Random walks in the quarter-plane
G. Fayolle, R. Iasnogorodski, and V. Malyshev · 1999
Earlier work this paper cites.
Growth and percolation on the uniform infinite planar triangulation
O. Angel · 2003
Earlier work this paper cites.
Height variables in the abelian sandpile model: scaling fields and correlations
M. Jeng, G. Piroux, and P. Ruelle · 2006
Earlier work this paper cites.
Tutte polynomial, subgraphs, orientations and sandpile model: new connections via embeddings
O. Bernardi · 2008
Earlier work this paper cites.
Chip-firing and rotor-routing on directed graphs
A. E. Holroyd, L. Levine, K. Mészáros, Y. Peres, J. Propp, and D. B. Wilson · 2008
Earlier work this paper cites.
Martin boundary of a killed random walk on a quadrant
I. Ignatiouk-Robert and C. Loree · 2010
Earlier work this paper cites.
Random walk: a modern introduction
G. F. Lawler and V. Limic · 2010
Cited alongside, same era.
Coarse geometry and randomness
I. Benjamini · 2011
Cited alongside, same era.
Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
Cited alongside, same era.
The problem of predecessors on spanning trees
V. S. Poghosyan and V. B. Priezzhev · 2011
Cited alongside, same era.
Return probability for the loop-erased random walk and mean height in sandpile: a proof
V. S. Poghosyan, V. B. Priezzhev, and P. Ruelle · 2011
Cited alongside, same era.
Percolation on random triangulations and stable looptrees
N. Curien and I. Kortchemski · 2014
Later among the works it cites.
Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2014
Later among the works it cites.
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs
R. W. Kenyon and D. B. Wilson · 2014
Later among the works it cites.
The looping rate and sandpile density of planar graphs
A. Kassel and D. B. Wilson · 2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Sheffield · 2011
Cited alongside, same era.
Some exact asymptotics in the counting of walks in the quarter plane
G. Fayolle and K. Raschel · 2012
Cited alongside, same era.
Loop models, random matrices and planar algebras
A. Guionnet, V. F. R. Jones, D. Shlyakhtenko, and P. Zinn-Justin · 2012
Cited alongside, same era.
Random two-component spanning forests
A. Kassel, R. Kenyon, and W. Wu · 2012
Cited alongside, same era.
Scaling limits of random trees and planar maps
J.-F. Le Gall and G. Miermont · 2012
Cited alongside, same era.
Counting walks in a quadrant: a unified approach via boundary value problems
K. Raschel · 2012
Cited alongside, same era.
L. Levine and Y. Peres · 2014
Later among the works it cites.
Critical exponents on Fortuin–Kasteleyn weighted planar maps
N. Berestycki, B. Laslier, and G. Ray · 2015
Closest in time.
Basic properties of the infinite critical-FK random map
L. Chen · 2015
Closest in time.
D. Denisov and V. Wachtel · 2015
Closest in time.
Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map I: cone times
E. Gwynne, C. Mao, and X. Sun · 2015
Closest in time.
E. Gwynne and X. Sun · 2015
Closest in time.
Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map III: finite volume case
E. Gwynne and X. Sun · 2015
Closest in time.