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Most massive halos with Gumbel Statistics

Abstract:
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.
Publication status:
Published

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Publisher copy:
10.1111/j.1365-2966.2011.18286.x

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Journal:
Monthly Notices of the Royal Astronomical Society More from this journal
Volume:
413
Issue:
3
Pages:
2087-2092
Publication date:
2011-01-14
DOI:
EISSN:
1365-2966
ISSN:
0035-8711


Language:
English
Keywords:
Pubs id:
pubs:146665
UUID:
uuid:c5eaa8f0-7c78-4761-b8f2-3aab4d522708
Local pid:
pubs:146665
Source identifiers:
146665
Deposit date:
2012-12-19

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