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COMBINATORICS
1998
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13 years 4 months ago
Increasing Subsequences and the Classical Groups
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
Eric M. Rains
COMBINATORICS
2002
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13 years 4 months ago
Longest Increasing Subsequences in Pattern-Restricted Permutations
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf