论文标题
弱非高斯随机场的峰值的统计数据：双度和三维中双光谱的影响
The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
论文作者
论文摘要
提供了弱非高斯峰值峰值峰值的分析表达式。具体而言，峰的丰度和空间相关性由公式表示，该公式只能通过一维积分来评估。我们假设非高斯足够弱，以至于它由双光谱的线性术语表示。该公式在$ n $维空间中正式给出，并在$ n = 1,2,3 $的情况下明确给出。假设弱的非高斯性是由重力引起的，则计算宇宙学场中峰值统计学的一些示例。本文的公式将在许多应用中对宇宙学领域的统计分析有所了解。
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.
