Most massive haloes with Gumbel statistics
Most massive haloes with Gumbel statistics
复制标题
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
中科院分区:
文献类型:
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作者:
Olaf Davis;J. Devriendt;S. Colombi;J. Silk;C. Pichon
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.