RANDOM STRICT PARTITIONS AND DETERMINANTAL POINT PROCESSES

被引：3

作者：

Petrov, Leonid ^{[1
]}

机构：

[1] Kharkevich Inst Informat Transmiss Problems, Dobrushin Math Lab, Moscow 127994, Russia

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2010年 / 15卷

关键词：

random strict partitions; determinantal point process; Macdonald kernel; HARMONIC-ANALYSIS; INFINITE;

D O I：

10.1214/ECP.v15-1542

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 present new examples of determinantal point processes with infinitely many particles. The particles live on the half-lattice {1, 2,...} or on the open half-line (0, +infinity). The main result is the computation of the correlation kernels. They have integrable form and are expressed through the Euler gamma function ( the lattice case) and the classical Whittaker functions ( the continuous case). Our processes are obtained via a limit transition from a model of random strict partitions introduced by Borodin ( 1997) in connection with the problem of harmonic analysis for projective characters of the infinite symmetric group.

引用

页码：162 / 175

页数：14