从金融学到宇宙学：大尺度结构的Copula
From Finance to Cosmology: The Copula of Large-Scale Structure
摘要：
任何多变量分布都可以被唯一地分解为边缘（1点）分布和一个称为copula的函数，它包含了分布之间相关性的所有信息。Copula函数为分析大尺度结构中的密度场提供了一种新的方法。我们推导出经验的2点Copula的演化暗物质密度场。我们发现，这个经验copula是很好的近似高斯copula。我们考虑的可能性，充分的n点Copula也是高斯和描述这个假设的一些后果。未来的研究方向进行了讨论。
英文摘要：
Any multivariate distribution can be uniquely decomposed into marginal (1-point) distributions, and a function called the copula, which contains all of the information on correlations between the distributions. The copula provides an important new methodology for analyzing the density field in large-scale structure. We derive the empirical 2-point copula for the evolved dark matter density field. We find that this empirical copula is well-approximated by a Gaussian copula. We consider the possibility that the full n-point copula is also Gaussian and describe some of the consequences of this hypothesis. Future directions for investigation are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
