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• W2143292512 abstract "We consider words over the alphabet [k] = {1, 2, . . . , k}, k ≥ 2. For a fixed nonnegative integer p, a p-succession in a word w 1 w 2 . . . w n consists of two consecutive letters of the form (w i , w i + p), i = 1, 2, . . . , n − 1. We analyze words with respect to a given number of contained p-successions. First we find the mean and variance of the number of p-successions. We then determine the distribution of the number of p-successions in words of length n as n (and possibly k) tends to infinity; a simple instance of a phase transition (Gaussian-Poisson-degenerate) is encountered. Finally, we also investigate successions in compositions of integers." @default.
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• W2143292512 date "2012-01-26" @default.
• W2143292512 modified "2023-10-07" @default.
• W2143292512 title "Successions in Words and Compositions" @default.
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• W2143292512 doi "https://doi.org/10.1007/s00026-012-0131-z" @default.
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