Asymptotic behavior of the length of the longest increasing subsequences of random walks
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چکیده
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Longest Increasing Subsequences of Random Colored Permutations
We compute the limit distribution for the (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power of that for usual random permutations computed recently by Baik, Deift, and Johansson (math.CO/9810105). In the two–colored case our method provides a different proof of a similar result by Tracy and Widom about t...
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On longest increasing subsequences in random permutations
The expected value of L n , the length of the longest increasing subsequence of a random permutation of f1; : : : ; ng, has been studied extensively. This paper presents the results of both Monte Carlo and exact computations that explore the ner structure of the distribution of L n. The results suggested that several of the conjectures that had been made about L n were incorrect, and led to new...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2020
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.101.032102