Asymptotics of the Number of k-words With An l-descent
نویسنده
چکیده
The number of words w = w 1 w n , 1 w i k, standard and semi-standard Young tableaux. When n ! 1, the asymptotics of the number of such words is calculated.
منابع مشابه
ASYMPTOTICS OF THE NUMBER OF k-WORDS WITH AN `-DESCENT
The number of words w = w1 · · ·wn, 1 ≤ wi ≤ k, for which there are 1 ≤ i1 < · · · < i` ≤ n and wi1 > · · · > wi` , is given, by the Schensted-Knuth correspondence, in terms of standard and semi-standard Young tableaux. When n → ∞, the asymptotics of the number of such words is calculated. Work partially supported by N.S.F. Grant No. DMS-94-01197.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 5 شماره
صفحات -
تاریخ انتشار 1998