论文标题

银河条是否取决于环境?:银河动物园2的信息理论分析2

Do galactic bars depend on environment?: An information theoretic analysis of Galaxy Zoo 2

论文作者

Sarkar, Suman, Pandey, Biswajit, Bhattacharjee, Snehasish

论文摘要

我们使用信息理论框架来分析来自Galaxy Zoo 2项目的数据,并研究螺旋星系中的棒及其环境之间存在统计学意义的相关性。我们测量星系的限制度及其环境之间的相互信息在有限的样品($ M_R \ leq -21 $)中,并将其与数据集进行比较(i)(i)条形/平均分类是随机的,并且(ii)星系的空间分布在不同的长度尺度上散布。我们使用t检验来评估共同信息差异的统计学意义,并发现形态学分类的随机化和空间分布的改组都不会以统计学意义的方式改变共同信息。由于数据集的有限和离散性,因此可以完全通过模拟泊松分布来解释,因此由于数据集的有限和离散性而产生了非零的共同信息。我们还分别比较了被禁止的星系和未挂牌星系的累积分布函数,这是其局部密度的函数。使用Kolmogorov-Smirnov测试,我们发现即使在$ 75 \%$置信度的价格下,零假设也无法拒绝。我们的分析表明,环境在形成中不发挥重要作用,这在很大程度上取决于宿主星系的内部过程。

We use an information theoretic framework to analyze data from the Galaxy Zoo 2 project and study if there are any statistically significant correlations between the presence of bars in spiral galaxies and their environment. We measure the mutual information between the barredness of galaxies and their environments in a volume limited sample ($M_r \leq -21$) and compare it with the same in datasets where (i) the bar/unbar classifications are randomized and (ii) the spatial distribution of galaxies are shuffled on different length scales. We assess the statistical significance of the differences in the mutual information using a t-test and find that both randomization of morphological classifications and shuffling of spatial distribution do not alter the mutual information in a statistically significant way. The non-zero mutual information between barredness and environment arises due to the finite and discrete nature of the dataset which can be entirely explained by mock Poisson distributions. We also separately compare the cumulative distribution functions of the barred and unbarred galaxies as a function of their local density. Using a Kolmogorov-Smirnov test, we find that the null hypothesis can not be rejected even at $75\%$ confidence level. Our analysis indicates that environments do not play a significant role in the formation of a bar, which is largely determined by the internal processes of the host galaxy.

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