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三点相关函数研究进展
引用本文:侯永辉,邹华.三点相关函数研究进展[J].天文学进展,2006,24(2):142-159.
作者姓名:侯永辉  邹华
作者单位:1. 中国科学技术大学,天体物理中心,合肥,230026;中国科学院,上海天文台,上海,200030
2. 河海大学,理学院,南京,210098
基金项目:国家自然科学基金资助项目(105730155)
摘    要:三点相关函数或傅里叶空间的重谱(bispectrum)是研究由引力不稳定性演化产生的大尺度结构非高斯性质的最低阶统计量。介绍了相关函数的基本理论知识;结合观测和数值模拟的测量结果,以及暗晕模型预言的三点相关函数,阐述了三点相关函数及其傅里叶变换的重谱的研究进展。

关 键 词:天体物理学  三点相关函数  综述  大尺度结构  统计性质
文章编号:1000-8349(2006)02-0142-18
收稿时间:10 11 2005 12:00AM
修稿时间:2005-10-112005-11-16

The Progress of the Three-point Correlation Function
HOU Yong-hui,ZOU Hua.The Progress of the Three-point Correlation Function[J].Progress In Astronomy,2006,24(2):142-159.
Authors:HOU Yong-hui  ZOU Hua
Institution:1. Centre for Astrophysics, University of Science and Technology of China, Hefei 230026, China; 2. College of Science Hohai University, Nanjing 210098, China; 3. Shanghai Astronomical 0bservatory, Chinese Academy of Sciences, Shanghai 200030, China
Abstract:Three-point correlation function (3PCF) and its Fourier counter part, bispectrum, are the lowest statistics that quantify the non-Gaussian behavior of the large scale structure induced by the gravitational instability. In the present paper, the basic theory of the threepoint correlation function and its Fourier counter part, bispectrum, are introduced firstly, then the results of 3PCF and bispectrum measured from the galaxies survey and simulations and predicted by the halo model are summarized.
Keywords:astrophysics  three-point correlation function  review  large-scale structure  statistic
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