The Forgetfulness of Balls and Bins

Details The Forgetfulness of Balls and Bins The Forgetfulness of Balls and Bins

2010-04-29

arxiv.org/abs/1004.5373v2

Mathematics

Probability

20 pages

Scientific paper

We find the asymptotic total variation distance between two distributions on
configurations of m balls in n labeled bins: in the first, each ball is placed
in a bin uniformly at random; in the second, k balls are planted in an
arbitrary but fixed arrangement and the remaining m-k balls placed uniformly at
random.

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