Regev’s Theorem via Rectangles
نویسنده
چکیده
For any fixed integer d≥ 1, let ud(N) denote the number of permutations in the symmetric group S(N)which have no decreasing subsequence of length d+1.Regev determined the asymptotic form of ud(N) in the N→ ∞ limit; his argument relies on Selberg’s integral formula. In this article we give an elementary derivation of Regev’s formula via an asymptotic bijection with standard Young tableaux of rectangular shape.
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