3 citations · 4 across the 10 of their papers we have counts for
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Stein's Method and Random Character Ratios
Jason Fulman
Stein's method is used to prove limit theorems for random character ratios. Tools are developed for four types of structures: finite groups, Gelfand pairs, twisted Gelfand pairs, a…
An Inductive Proof of the Berry-Esseen Theorem for Character Ratios
Jason Fulman
Bolthausen used a variation of Stein's method to give an inductive proof of the Berry-Esseen theorem for sums of independent, identically distributed random variables. We modify th…
Stein's Method, Jack Measure, and the Metropolis Algorithm
Jason Fulman
The one parameter family of Jack(alpha) measures on partitions is an important discrete analog of Dyson's beta ensembles of random matrix theory. Except for special values of alpha…
A Card Shuffling Analysis of Deformations of the Plancherel Measure of the Symmetric Group
Jason Fulman
We study deformations of the Plancherel measure of the symmetric group by lifting them to the symmetric group and using combinatorics of card shuffling. The existing methods for an…
GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations
Jason Fulman
Connections between longest increasing subsequences in random permutations and eigenvalues of random matrices with complex entries have been intensely studied. This note applies pr…
Applications of Symmetric Functions to Cycle and Increasing Subsequence Structure after Shuffles (Part 2)
Jason Fulman
Using the Berele/Remmel/Kerov/Vershik variation of the Robinson-Schensted-Knuth correspondence, we study the cycle and increasing subsequence structure after various methods of shu…