Lionel Levine
Lionel Levine
Associate Professor, Cornell University
Verified email at math.cornell.edu - Homepage
Title
Cited by
Cited by
Year
Chip-firing and rotor-routing on directed graphs
AE Holroyd, L Levine, K Mészáros, Y Peres, J Propp, DB Wilson
In and out of equilibrium 2, 331-364, 2008
2032008
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
L Levine, Y Peres
Potential Analysis 30 (1), 1-27, 2009
1102009
Growth rates and explosions in sandpiles
A Fey, L Levine, Y Peres
Journal of Statistical Physics 138 (1), 143-159, 2010
822010
WHAT IS a sandpile?
L Levine, J Propp
Notices of the American Mathematical Society 57 (8), 976--979, 2010
762010
Scaling limits for internal aggregation models with multiple sources
L Levine, Y Peres
Journal d'Analyse Mathématique 111 (1), 151-219, 2010
702010
Spherical asymptotics for the rotor-router model in Z^d
L Levine, Y Peres
Indiana University Mathematics Journal 2008 57 (1), 431--450, 2008
602008
Logarithmic fluctuations for internal DLA
D Jerison, L Levine, S Sheffield
Journal of the American Mathematical Society 25, 271--301, 2012
542012
Sandpile groups and spanning trees of directed line graphs
L Levine
Journal of Combinatorial Theory, Series A 118 (2), 350-364, 2011
432011
Abelian networks: foundations and examples
B Bond, L Levine
Arxiv preprint arXiv:1309.3445, 2013
412013
Internal DLA and the Gaussian free field
D Jerison, L Levine, S Sheffield
Arxiv preprint arXiv:1101.0596, 2011
382011
Driving sandpiles to criticality and beyond
A Fey, L Levine, DB Wilson
Physical review letters 104 (14), 145703, 2010
362010
The sandpile group of a tree
L Levine
European Journal of Combinatorics 30 (4), 1026-1035, 2009
362009
Fast simulation of large-scale growth models
T Friedrich, L Levine
Random Structures & Algorithms 42, 185--213, 2013
32*2013
Apollonian structure in the Abelian sandpile
L Levine, W Pegden, CK Smart
Geometric and functional analysis 26 (1), 306-336, 2016
312016
Approach to criticality in sandpiles
A Fey, L Levine, DB Wilson
Physical Review E 82 (3), 031121, 2010
312010
The rotor-router model on regular trees
I Landau, L Levine
Journal of Combinatorial Theory, Series A 116 (2), 421-433, 2009
312009
Internal DLA in higher dimensions
D Jerison, L Levine, S Sheffield
Arxiv preprint arXiv:1012.3453, 2010
292010
The rotor-router shape is spherical
L Levine, Y Peres
The Mathematical Intelligencer 27 (3), 9-11, 2005
262005
CoEulerian graphs
M Farrell, L Levine
Proceedings of the American Mathematical Society 144 (7), 2847-2860, 2016
252016
The looping constant of Z^d
L Levine, Y Peres
Random Structures & Algorithms, 2013
19*2013
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