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arXiv 1406.5899astro-ph.CO
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星系红移巡天中的空间密度涨落和选择效应

Spatial density fluctuations and selection effects in galaxy redshift surveys

Francesco Sylos Labini, Daniil Tekhanovich, Yurij V. Baryshev

摘要:

观测宇宙学的主要问题之一是确定星系相关性的可靠测量范围。这对应于确定关联函数的形状、其随红移的可能演化以及大尺度结构的大小和振幅。不同的选择效应,不可避免地进入任何观察,在相关性的测量中引入了重要的限制。在星系红移巡天的背景下,观测技术和策略以及数据分析中使用的隐含假设可能会导致选择效应。一般来说,所有这些影响都考虑到使用成对计数算法来测量两点相关性。我们回顾这些方法,强调它们是基于先验假设,即星系分布是空间均匀的给定样本内。我们发现,当数据不满足这一假设时,相关分析的结果会受到有限尺寸效应的影响,为了量化这些效应,我们引入了一种新的方法,该方法基于计算沿微小圆柱的星系计数梯度。我们表明,通过使用人工均匀和不均匀的点分布,这种方法是确定红移依赖的选择效应,并解开它们从大尺度密度波动的存在。然后,我们将这种新方法应用到几个红移目录,我们发现的证据表明,星系分布,在这些样本中的选择效应是足够小的,其特征在于幂律相关指数$γ=0.9$高达$20$ Mpc/h,其次是斜率的变化,在[20,100] Mpc/h的范围内,对应于幂律指数$γ=0.25$。当前数据无法阐明在$\sim 100$ Mpc/h下是否发生空间不均匀性交叉。

英文摘要:

One of the main problems of observational cosmology is to determine the range in which a reliable measurement of galaxy correlations is possible. This corresponds to determine the shape of the correlation function, its possible evolution with redshift and the size and amplitude of large scale structures. Different selection effects, inevitably entering in any observation, introduce important constraints in the measurement of correlations. In the context of galaxy redshift surveys selection effects can be caused by observational techniques and strategies and by implicit assumptions used in the data analysis. Generally all these effects are taken into account by using pair-counting algorithms to measure two-point correlations. We review these methods stressing that they are based on the a-priori assumption that galaxy distribution is spatially homogeneous inside a given sample. We show that, when this assumption is not satisfied by the data, results of the correlation analysis are affected by finite size effects.In order to quantify these effects, we introduce a new method based on the computation of the gradient of galaxy counts along tiny cylinders. We show, by using artificial homogeneous and inhomogeneous point distributions, that this method is to identify redshift dependent selection effects and to disentangle them from the presence of large scale density fluctuations. We then apply this new method to several redshift catalogs and we find evidences that galaxy distribution, in those samples where selection effects are small enough, is characterized by power-law correlations with exponent $γ=0.9$ up to $20$ Mpc/h followed by a change of slope that, in the range [20,100] Mpc/h, corresponds to a power-law exponent $γ=0.25$. Whether a crossover to spatial unformity occurs at $\sim 100$ Mpc/h cannot be clarified by the present data.

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