Statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
Statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
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DOI：
10.1103/physrevd.101.043532
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发表时间：
2020-01
影响因子：
5
通讯作者：
T. Matsubara
中科院分区：
文献类型：
--
作者：
T. Matsubara
给出了弱非高斯随机场峰统计量的解析表达式。具体地说，峰的丰度和空间相关性是用公式表示的，这些公式实际上只能用一维积分来评估。我们假设非高斯性足够弱，可以用双谱的线性项表示。这些公式在N维空间中正式给出，并在N=1,2,3时显式给出。本文计算了宇宙密度场和弱透镜场中峰值统计的一些例子，假设弱非高斯性是由重力引起的。本文的公式适用于许多宇宙学领域的统计分析。
Analytic expressions for the statistics of peaks of random fields with weak non-Gaussianity are provided. Specifically, the abundance and spatial correlation of peaks are represented by formulas which can be evaluated only by virtually one-dimensional integrals. We assume the non-Gaussianity is weak enough such that it is represented by linear terms of the bispectrum. The formulas are formally given in $N$-dimensional space, and explicitly given in the case of $N=1,2,3$. Some examples of peak statistics in cosmological fields are calculated for the cosmic density field and weak lensing field, assuming the weak non-Gaussianity is induced by gravity. The formulas of this paper would find a fit in many applications to statistical analyses of cosmological fields.