Adding numbers and Shuffling cards
by Persi DIACONIS
Abstract: The usual method of adding two or more integers creates 'carries' as we go along. For 'typical numbers' these carries form a Markov chain with an 'Amazing' transition matrix (Holte). This same matrix comes up in analyzing the usual method of riffle shuffling playing cards. I will explain carries, shuffling and the connection. This is joint work with Jason Fulman.
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