3 citations · 4 across the 10 of their papers we have counts for
36 papers
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 and Minimum Parsimony Distance after Shuffles
Jason Fulman
Motivated by Bourque and Pevzner's simulation study of the parsimony method for studying genome rearrangement, Berestycki and Durrett used techniques from random graph theory to pr…
Martingales and character ratios
Jason Fulman
Some general connections between martingales and character ratios of finite groups are developed. As an application we sharpen the convergence rate in a central limit theorem for t…
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…
Card shuffling and the decomposition of tensor products
Jason Fulman
Let H be a subgroup of a finite group G. We use Markov chains to quantify how large r should be so that the decomposition of the r tensor power of the representation of G on cosets…