The mixing time of the Thorp shuffle

Mathematics – Probability

Scientific paper

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21 pages

Scientific paper

The Thorp shuffle is defined as follows. Cut the deck into two equal piles.
Drop the first card from the left pile or the right pile according to the
outcome of a fair coin flip; then drop from the other pile. Continue this way
until both piles are empty. We show that the mixing time for the Thorp shuffle
with $2^d$ cards is polynomial in $d$.

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