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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 aregiven. The tools are also useful for other splitting processes with anunderlying binomial distribution. We specially highlight Philippe Flajolet'scontribution in the analysis of these random structures.

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