61 citations · 244 across the 74 of their papers we have counts for
82 papers
Sandpile groups of random bipartite graphs and families of distributions with the same moments
Jason Fulman, Nathan Kaplan, Deepesh Singhal +1
Recently, there has been significant interest in applying the method of moments developed by Wood and others to study distributions of finite abelian groups that arise in number th…
Stein's method and the modular behavior of Eulerian numbers
Jason Fulman, Adrian Röllin
The Eulerian number A(n,k) counts permutations of n symbols with exactly k descents. Motivated by problems in cryptography, several authors have studied the proportion of permutati…
Derangements in affine classical groups and Cohen-Lenstra heuristics
Jason Fulman, Dennis Stanton
We observe that Anzanello's work on the proportion of derangements in affine classical groups over finite fields is related to symplectic and orthogonal Cohen-Lenstra type distribu…
Derangements in finite classical groups and characteristic polynomials of random matrices
Jason Fulman, Robert Guralnick
We first obtain explicit upper bounds for the proportion of elements in a finite classical group G with a given characteristic polynomial. We use this to complete the proof that th…
Fixed points of non-uniform permutations and representation theory of the symmetric group
Jason Fulman
We use representation theory of the symmetric group S_n to prove Poisson limit theorems for the distribution of fixed points for three types of non-uniform permutations. First, we…
Probabilistic Generation of Finite Almost Simple Groups
Jason Fulman, Daniele Garzoni, Robert M. Guralnick
We prove that if G is a sufficiently large finite almost simple group of Lie type, then given a fixed nontrivial element x in G and a coset of G modulo its socle, the probability t…