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arXiv 2102.09010astro-ph.CO
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星系大尺度分布中分形的观测证据

Observational evidence of fractality in the large-scale distribution of galaxies

T. Canavesi, T. E. Tapia

摘要:

利用从SDSS NASA/AMES增值星系表(AMES-VAGC)中提取的133991个分布在天空区域的星系样本$100^{\circ} <α<270^{\circ}$和$7^{\circ}<δ<65^{\circ}$,我们用两种不同的方法估计了分维。首先,使用一种算法来估计关联维数。第二种方法,在一个新的方法中,从数据中创建一个图,并纯粹从连接信息中估计图的维度。在这两种方法中,我们发现了一个维度$D\approx 2$的规模低于20兆秒差距,这与以前的作品。这一结果显示了星系分布在一定尺度上的不均匀性。

英文摘要:

Using a sample of 133 991 galaxies distributed in the sky region $100^{\circ} <α<270^{\circ}$ and $7^{\circ}<δ<65^{\circ}$, extracted from the SDSS NASA/AMES Value Added Galaxy Catalog (AMES-VAGC), we estimate the fractal dimension using two different methods. First, using an algorithm to estimate the correlation dimension. The second method, in a novel approach, creates a graph from the data and estimates the graph dimension purely from connectivity information. In both methods we found a dimension $D\approx 2$ in scales below 20 Mpc, which agrees with previous works. This result shows the non-homogeneity of galaxies distribution at certain scales.

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