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• W2952699457 abstract "Let $LA_{n}(tau)$ be the length of the longest alternating subsequence of a uniform random permutation $tauin[n]$. Classical probabilistic arguments are used to rederive the asymptotic mean, variance and limiting law of $LA_{n}(tau)$. Our methodology is robust enough to tackle similar problems for finite alphabet random words or even Markovian sequences in which case our results are mainly original. A sketch of how some cases of pattern restricted permutations can also be tackled with probabilistic methods is finally presented." @default.
• W2952699457 created "2019-06-27" @default.
• W2952699457 creator A5052658531 @default.
• W2952699457 creator A5060004072 @default.
• W2952699457 date "2010-05-11" @default.
• W2952699457 modified "2023-09-27" @default.
• W2952699457 title "A probabilistic approach to the asymptotics of the length of the longest alternating subsequence" @default.
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• W2952699457 hasPublicationYear "2010" @default.
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