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arXiv 1104.0884astro-ph.CO
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从SDSS DR7调查资料看Galerkin的非均匀分布

The Non-Uniform Distribution of Galaxies from Data of the SDSS DR7 Survey

A. O. Verevkin, Yu. L. Bukhmastova, Yu. V. Baryshev

摘要:

我们已经分析了星系的空间分布从斯隆数字巡天星系红移(SDSS DR 7)的发布,应用完全关联函数(条件密度),两点条件密度(圆柱),径向密度方法。我们的分析表明,当标度长度为0.5-30 Mpc/h时,条件密度具有幂律形式,幂律对应于分形维数D = 2.2+-0.2;当标度长度超过30 Mpc/h时,条件密度进入基本平坦的状态,这与星系均匀分布的预期一致。然而,在应用圆柱体方法的分析中,D = 2.0+-0.3的幂律特征持续到70 Mpc/h的标度长度。径向密度方法揭示了星系在200 Mpc/h尺度上的空间分布的不均匀性,密度对比度为2,证实了星系分布在300 Mpc/h时的平移不变性是违反的,SDSS星系的采样深度为600 Mpc/h。

英文摘要:

We have analyzed the spatial distribution of galaxies from the release of the Sloan Digital Sky Survey of galactic redshifts (SDSS DR7), applying the complete correlation function (conditional density), two-point conditional density (cylinder), and radial density methods. Our analysis demonstrates that the conditional density has a power-law form for scales lengths 0.5-30 Mpc/h, with the power-law corresponding to the fractal dimension D = 2.2+-0.2; for scale lengths in excess of 30 Mpc/h, it enters an essentially flat regime, as is expected for a uniform distribution of galaxies. However, in the analysis applying the cylinder method, the power-law character with D = 2.0+-0.3 persists to scale lengths of 70 Mpc/h. The radial density method reveals inhomogeneities in the spatial distribution of galaxies on scales of 200 Mpc/h with a density contrast of two, confirming that translation invariance is violated in the distribution of galaxies to 300 Mpc/h, with the sampling depth of the SDSS galaxies being 600 Mpc/h.

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