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arxiv: 1605.04018 · v1 · pith:IY7ESATEnew · submitted 2016-05-13 · 🧮 math.CO

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

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keywords distributionquicksortcharacteristicfunctionanalyticallyconsequencedecaydecreasing
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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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