Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions
Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions
复制标题
高斯随机函数零集的空间分布和连通分量数的渐近定律
DOI：
10.15407/mag12.03.205
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Sodin
中科院分区：
文献类型：
--
作者：
F. Nazarov;M. Sodin
研究了多个真实的变量光滑高斯随机函数的零集的空间分布和连通分支数的渐近规律。主要的例子是各种高斯系综的实值多项式（代数或三角）的大程度上的球或环面，并在欧几里德空间限制到大域的平移不变光滑高斯函数。
We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on the sphere or torus, and translation-invariant smooth Gaussian functions on the Euclidean space restricted to large domains.
影响因子：
1.5
作者：
Y. Fyodorov;A. Lerário;Erik Lundberg
通讯作者：
Y. Fyodorov;A. Lerário;Erik Lundberg