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Distribution of Increasing ℓ-sequences in a Random Permutation

✍ Scribed by Brad C. Johnson


Book ID
110301324
Publisher
Springer US
Year
2001
Tongue
English
Weight
135 KB
Volume
3
Category
Article
ISSN
1387-5841

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📜 SIMILAR VOLUMES


On Increasing Subsequences of Random Per
✍ Jeong Han Kim 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 292 KB

Let L n be the length of a longest increasing subsequence in a random permutation of [1, ..., n]. It is known that the expected value of L n is asymptotically equal to 2 -n as n gets large. This note derives upper bound on the probability that L n &2 -n exceeds certain quantities. In particular, we