Most massive haloes with Gumbel statistics

Most massive haloes with Gumbel statistics
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最大质量光环的甘贝尔统计

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
C. Pichon
C. Pichon
中科院分区:
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文献类型:
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作者:
Olaf Davis;J. Devriendt;S. Colombi;J. Silk;C. Pichon

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我们提出了一个分析计算的极端值统计暗物质晕-也就是说,最大质量的晕在宇宙的某些区域内的特定形状和大小的概率分布。我们的计算利用了相关函数的细胞计数形式主义,以及来自Sheth-Tormen质量函数的晕偏置。我们证明了权力的方法对球形区域,比较结果的测量在一个大的宇宙学暗物质模拟和实现良好的协议。特别好的拟合得到的最大质量的最可能的值和高质量的分布,相关的约束宇宙学的观测最大质量的集群。
We present an analytical calculation of the extreme value statistics for dark matter halos - that is, the probability distribution of the most massive halo within some region of the universe of specified shape and size. Our calculation makes use of the counts-in-cells formalism for the correlation functions, and the halo bias derived from the Sheth-Tormen mass function. We demonstrate the power of the method on spherical regions, comparing the results to measurements in a large cosmological dark matter simulation and achieving good agreement. Particularly good fits are obtained for the most likely value of the maximum mass and for the high-mass tail of the distribution, relevant in constraining cosmologies by observations of most massive clusters.