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math.CO2008★ 6 cited
Carries, Shuffling and An Amazing Matrix
Persi Diaconis, Jason Fulman
The number of ``carries'' when random integers are added forms a Markov chain [23]. We show that this Markov chain has the same transition matrix as the descent process when a…
math.CO2007
On fixed points of permutations
Persi Diaconis, Jason Fulman, Robert Guralnick
The number of fixed points of a random permutation of 1,2,...,n has a limiting Poisson distribution. We seek a generalization, looking at other actions of the symmetric group. Rest…