The Forgetfulness of Balls and Bins
arXiv:1004.5373 · doi:10.1002/rsa.20408
Abstract
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.
20 pages