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Value Concentration of Additive Functions on Random Permutations

✍ Scribed by E. Manstavičius


Book ID
111553941
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
79 KB
Volume
79
Category
Article
ISSN
0167-8019

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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