4 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 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…
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…