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math.CO2000
An Application of the Whitehouse Module to Riffle Shuffles Followed by a Cut
Jason Fulman
Using representation theoretic work on the Whitehouse module, a formula is obtained for the cycle structure of a riffle shuffle followed by a cut. This result will be merged with t…
math.CO2000
A Probabilistic Proof of the Rogers Ramanujan Identities
Jason Fulman
The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural number…