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math.CO2026
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…
math.CO2025
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…
math.CO2024
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…