3 citations · 4 across the 10 of their papers we have counts for
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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…
Stein's Method and Plancherel Measure of the Symmetric Group
Jason Fulman
We initiate a Stein's method approach to the study of the Plancherel measure of the symmetric group. A new proof of Kerov's central limit theorem for character ratios of random rep…
Conjugacy Class Properties of the Extension of GL(n,q) Generated by the Inverse Tranpose Involution
Jason Fulman, Robert Guralnick
Letting tau denote the inverse transpose automorphism of GL(n,q), a formula is obtained for the number of g in GL(n,q) so that gg^{tau} is equal to a given element h. This generali…
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…