STATISTICS OF EXTREME SPACINGS IN DETERMINANTAL RANDOM POINT PROCESSES

被引：10
|
作者：
Soshnikov, Alexander [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
MOSCOW MATHEMATICAL JOURNAL | 2005年 / 5卷 / 03期
关键词：
Determinantal random point processes; cluster functions; Poisson statistics;
D O I：
10.17323/1609-4514-2005-5-3-705-719
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study determinantal translation-invariant random point processes on the real line. Under some technical assumptions on the correlation kernel, we prove that the smallest nearest spacings in a large interval have Poisson statistics as the length of the interval goes to infinity.
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页码：705 / 719
页数：15
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