Longest increasing subsequences of random colored permutations

Alexei Borodin

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arXiv · math/9902001

Longest increasing subsequences of random colored permutations

Alexei Borodin

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Abstract

We compute the limit distribution for (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 two--colored case our method provides a different proof of a similar result by Tracy and Widom about longest increasing subsequences of signed permutations (math.CO/9811154). Our main idea is to reduce the `colored' problem to the case of usual random permutations using certain combinatorial results and elementary probabilistic arguments.

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Alexei Borodin. 1999-02-02. Longest increasing subsequences of random colored permutations. https://arxiv.org/abs/math/9902001

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