The Variance and the Asymptotic Distribution of the Length of Longest $k$-alternating Subsequences
We obtain an explicit formula for the variance of the number of $k$-peaks in a uniformly random permutation. This is then used to obtain an asymptotic formula for the variance of the length of longest $k$-alternating subsequence in random permutations. Also a central limit is proved for the latter s...
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| 主要な著者: | , , |
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| フォーマット: | Artigo |
| 言語: | Inglês |
| 出版事項: |
Discrete Mathematics & Theoretical Computer Science
2023-05-01
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| シリーズ: | Discrete Mathematics & Theoretical Computer Science |
| 主題: | |
| オンライン･アクセス: | http://dmtcs.episciences.org/10296/pdf |
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