Probabilistic Analysis of the Dual-Pivot Quicksort "Count"

@inproceedings{Neininger2018ProbabilisticAO,
  title={Probabilistic Analysis of the Dual-Pivot Quicksort "Count"},
  author={Ralph Neininger and Jasmin Straub},
  booktitle={ANALCO},
  year={2018}
}
Recently, Aum\"uller and Dietzfelbinger proposed a version of a dual-pivot quicksort, called "Count", which is optimal among dual-pivot versions with respect to the average number of key comparisons required. In this note we provide further probabilistic analysis of "Count". We derive an exact formula for the average number of swaps needed by "Count" as well as an asymptotic formula for the variance of the number of swaps and a limit law. Also for the number of key comparisons the asymptotic… 

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