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An analytic approach to the asymptotic variance of trie statistics and related structures

We develop analytic tools for the asymptotics of general trie statistics, which are particularly advantageous for clarifying the asymptotic variance. Many concrete examples are discussed for which new Fourier expansions are given. The tools are also useful for other splitting processes with an underlying binomial distribution. We specially highlight Philippe Flajolet's contribution in the analysis of these random structures.

preprint2013arXivOpen access
Michael FuchsHsien-Kuei HwangVytas Zacharovas
math.COData Structures and Algorithms
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Open access3 authors2 topics
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Michael FuchsHsien-Kuei HwangVytas Zacharovas

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