59 citations · 371 across the 37 of their papers we have counts for
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math.NT2014★ 5 cited
A heuristic for the distribution of point counts for random curves over a finite field
Jeffrey D. Achter, Daniel Erman, Kiran S. Kedlaya +2
How many rational points are there on a random algebraic curve of large genus over a given finite field ? We propose a heuristic for this question motivated by a…
math.PR2014★ 15 cited
The distribution of sandpile groups of random graphs
Melanie Matchett Wood
We determine the distribution of the sandpile group (a.k.a. Jacobian) of the Erdős-Rényi random graph G(n,q) as n goes to infinity. Since any particular group appears with asymptot…
math.CO2014★ 6 cited
On a Cohen-Lenstra Heuristic for Jacobians of Random Graphs
Julien Clancy, Nathan Kaplan, Timothy Leake +2
In this paper, we make specific conjectures about the distribution of Jacobians of random graphs with their canonical duality pairings. Our conjectures are based on a Cohen-Lenstra…