Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials
Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials
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DOI：
10.1016/j.crma.2015.09.016
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发表时间：
2015-12-01
影响因子：
0.8
通讯作者：
Dalmao, Federico
中科院分区：
文献类型：
--
作者：
Dalmao, Federico
在本文中，我们找到了Kostlan-Shub-Smale随机多项式根数方差的渐近主项，并证明了当次数趋于无穷大时该根数的中心极限定理。(C)2015年，科学院。由Elsevier Masson SAS出版。All rights reserved.
In this note, we find the asymptotic main term of the variance of the number of roots of Kostlan-Shub-Smale random polynomials and prove a central limit theorem for this number of roots as the degree goes to infinity. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.