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We determine the distribution of the sandpile group (a.k.a.
On the determinant of $(0,\,1)$ matrices
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J. Komlós · 1968
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Orthogonal matrices over finite fields
Jessie MacWilliams · 1969
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On the density of discriminants of cubic fields. II
H. Davenport and H. Heilbronn · 1971
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Heuristics on class groups of number fields
H. Cohen and H. W. Lenstra, Jr · 1984
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Densities for ranks of certain parts of p p -class groups
Frank Gerth, III · 1987
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Extension of conjectures of Cohen and Lenstra
Frank Gerth, III · 1987
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Self-organized criticality
Per Bak, Chao Tang, and Kurt Wiesenfeld · 1988
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Eduardo Friedman and Lawrence C. Washington · 1989
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Dino J. Lorenzini · 1989
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Étude heuristique des groupes de classes des corps de nombres
Henri Cohen and Jacques Martinet · 1990
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Self-organized critical state of sandpile automaton models
Deepak Dhar · 1990
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A finite group attached to the laplacian of a graph
Dino J. Lorenzini · 1990
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Chip-firing games on graphs
Anders Björner, László Lovász, and Peter W. Shor · 1991
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Andrei Gabrielov · 1993
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Avalanches, sandpiles and tutte decomposition
Andrei Gabrielov · 1993
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The size of selmer groups for the congruent number problem, ii
D. R. Heath-Brown · 1994
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The size of selmer groups for the congruent number problem. ii
D. R. Heath-Brown · 1994
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On the probability that a random $\pm 1$-matrix is singular
Jeff Kahn, János Komlós, and Endre Szemerédi · 1995
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The lattice of integral flows and the lattice of integral cuts on a finite graph
Roland Bacher, Pierre de la Harpe, and Tatiana Nagnibeda · 1997
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Algebraic potential theory on graphs
Norman Biggs · 1997
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Chip firing and the tutte polynomial
Criel Merino López · 1997
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Chip-firing and the critical group of a graph
N. L. Biggs · 1999
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Arithmetical properties of laplacians of graphs
Dino Lorenzini · 2000
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The critical group of a directed graph
David G. Wagner · 2000
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Heuristics on tate-shafarevitch groups of elliptic curves defined over 𝕢 \mathbb{q}
Christophe Delaunay · 2001
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Jordan Ellenberg, Akshay Venkatesh, and Craig Westerland · 2009
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On the singularity probability of discrete random matrices
Jean Bourgain, Van H. Vu, and Philip Matchett Wood · 2010
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What is … \dots a sandpile?
Lionel Levine and James Propp · 2010
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On the distribution of class groups of number fields
Gunter Malle · 2010
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Singularity of random matrices over finite fields
Kenneth Maples · 2010
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The monodromy pairing and discrete logarithm on the jacobian of finite graphs
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Siegfried Bosch and Dino Lorenzini · 2002
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The density of discriminants of quartic rings and fields
Manjul Bhargava · 2005
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Random symmetric matrices are almost surely nonsingular
Kevin P. Costello, Terence Tao, and Van Vu · 2006
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Cohen–lenstra heuristics of quadratic number fields
Étienne Fouvry and Jürgen Klüners · 2006
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What are zeta functions of graphs and what are they good for?
Matthew D. Horton, H. M. Stark, and Audrey A. Terras · 2006
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On random $\pm1$ matrices: singularity and determinant
Terence Tao and Van Vu · 2006
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Farbod Shokrieh · 2010
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Jacobians of nearly complete and threshold graphs
Serguei Norine and Peter Whalen · 2011
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Invertibility of symmetric random matrices
Roman Vershynin · 2011
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On the sandpile group of the cone of a graph
Carlos A. Alfaro and Carlos E. Valencia · 2012
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Homological stability for Hurwitz spaces and the Cohen Lenstra conjecture over function fields, II
Jordan Ellenberg, Akshay Venkatesh, and Craig Westerland · 2012
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Random matrices and Cohen-Lenstra statistics for global fields with roots of unity
Derek Garton · 2012
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Inverse littlewood–offord problems and the singularity of random symmetric matrices
Hoi H. Nguyen · 2012
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Modeling the distribution of ranks, selmer groups, and shafarevich-tate groups of elliptic curves
Manjul Bhargava, Daniel M. Kane, Hendrik W. Lenstra jr., Bjorn Poonen, and Eric Rains · 2013
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A note on jacobians, tutte polynomials, and two-variable zeta functions of graphs
Julien Clancy, Timothy Leake, and Sam Payne · 2013
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Bilinear and quadratic variants on the littlewood-offord problem
Kevin P. Costello · 2013
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Integer invariants of abelian cayley graphs
Joshua E. Ducey and Deelan M. Jalil · 2013
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Cokernels of random matrices satisfy the cohen-lenstra heuristics, 2013
Kenneth Maples · 2013
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Symmetric random matrices over finite fields announcement, April 15, 2013
Kenneth Maples · 2013
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On a cohen-lenstra heuristic for jacobians of random graphs
Julien Clancy, Timothy Leake, Nathan Kaplan, Sam Payne, and Melanie Matchett Wood · 2014
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The smith and critical groups of paley graphs
David Chandler, Peter Sin, and Qing Xiang · 2014
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