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math.CO2003
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…
math.CO2003
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…