On the number of step functions with restrictions

被引：0
|
作者：
Ahlswede, R.
Blinovsky, V.
机构：
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] Inst Problems Informat Transmiss RAS, Moscow 127994, Russia
来源：
THEORY OF PROBABILITY AND ITS APPLICATIONS | 2006年 / 50卷 / 04期
关键词：
large deviations; random walk; Young diagram;
D O I：
10.1137/S0040585X97981974
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We obtain an asymptotic formula for the number of scaled step functions with restrictions on the length and height of steps (shapes of Young diagrams) of a given area in the neighborhood of a given curve. This allows us to find the asymptotics of the whole number of such functions and find the limit shape - the curve of concentration of the step functions.
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页码：537 / 560
页数：24
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