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math.CO2005
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…
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…