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FRACTAL CORRELATIONS IN THE CfA2-SOUTH REDSHIFT SURVEY

机译:CfA2浅析浅析调查中的分形相关

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摘要

We report our analysis of the properties of galaxy clustering for a new redshift sample of galaxies, the CfA2- South catalog, using statistical methods that do not rely on the assumption of homogeneity. We find that, up to ~20 h~(-1) Mpc, which is the largest scale to which correlation properties can be reliably inferred, the galaxy clustering is scale invariant and characterized by a fractal dimension D = 1.9 ± 0.1. Further, there is no statistical evidence for homogeneity at any of the larger scales (up to ~150 h~(-1) Mpc) probed more weakly by the caialog. These results mean that characteristic "correlation lengths" for the clustering of galaxies derived using standard methods of analysis are not meaningful. Further, the results are very consistent with those obtained from many other catalogs using the methods adopted here, which show the D ≈ 2 fractal continuing to beyond 100 h~(-1) Mpc. The incompleteness of the relevant data conjectured by various authors to give rise to such behavior is therefore proved to have no significant effect (up to 20 h~(-1) Mpc) on the measured correlations.
机译:我们使用不依赖同质性假设的统计方法,报告了对一个新的红移星系样本CfA2-South目录的星系聚类属性的分析。我们发现,直到〜20 h〜(-1)Mpc,这是可以可靠地推断出相关属性的最大尺度,星系聚类是尺度不变的,其分形维数D = 1.9±0.1。此外,也没有统计证据证明由caialog探测到的任何较大规模(最高〜150 h〜(-1)Mpc)的均质性。这些结果意味着使用标准分析方法得出的星系聚类的特征“相关长度”是没有意义的。此外,结果与使用此处采用的方法从许多其他目录获得的结果非常一致,结果表明D≈2分形持续超过100 h〜(-1)Mpc。因此,各种作者推测的相关数据的不完全性导致这种行为被证明对测得的相关性没有显着影响(最高20 h〜(-1)Mpc)。

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