Correlations between zeros of a random polynomial

被引：37

作者：

Bleher, P

Di, XJ

机构：

[1] Department of Mathematical Sciences, Indiana Univ.-Purdue Univ. I., Indianapolis

来源：

JOURNAL OF STATISTICAL PHYSICS | 1997年 / 88卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

real random polynomials; correlations between zeros; scaling limit; determinants of block matrices;

D O I：

10.1007/BF02508472

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain exact analytical expressions for correlations between real zeros of the Kac random polynomial. We show that the zeros in the interval (-1, 1) are asymptotically independent of the zeros outside of this interval, and that the straightened zeros have the same limil-translation-invariant correlations. Then we calculate the correlations between the straightened zeros of the O(1) random polynomial.

引用

页码：269 / 305

页数：37

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