Correlations between zeros of a random polynomial
数学物理
2015-06-26 v2 介观与纳米尺度物理
math.MP
概率论
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 are asymptotically independent of the zeros outside of this interval, and that the straightened zeros have the same limit translation invariant correlations. Then we calculate the correlations between the straightened zeros of the SO(2) random polynomial.
引用
@article{arxiv.math-ph/0201012,
title = {Correlations between zeros of a random polynomial},
author = {Pavel Bleher and Xiaojun Di},
journal= {arXiv preprint arXiv:math-ph/0201012},
year = {2015}
}
备注
31 pages, 2 figures; a revised version of the J. Stat. Phys. paper