Mathematics – Combinatorics
Scientific paper
2008-06-22
Mathematics
Combinatorics
16 pages
Scientific paper
The number of ``carries'' when $n$ 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 deck of $n$ cards is repeatedly riffle shuffled.
This gives new results for the statistics of carries and shuffling.
Diaconis Persi
Fulman Jason
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