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math.RT2004
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…
math.RT2003
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…
math.RT2003
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…