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.

引用

页码：537 / 560

页数：24

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