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On the exponential decay of the characteristic function of the quicksort distribution

Combinatorics 2016-05-16 v1

Abstract

We prove that the characteristic function of the quicksort distribution is exponentially decreasing at infinity. As a consequence it follows that the density of the quicksort distribution can be analytically extended to the vicinity of the real line.

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Cite

@article{arxiv.1605.04018,
  title  = {On the exponential decay of the characteristic function of the quicksort distribution},
  author = {Vytas Zacharovas},
  journal= {arXiv preprint arXiv:1605.04018},
  year   = {2016}
}

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9 pages