Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 413, Issue 3, Pages 2087-2092Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-2966.2011.18286.x
Keywords
methods: analytical; methods: statistical; dark matter; large-scale structure of Universe
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Funding
- Oxford Martin School
- Adrian Beecroft
- STFC
- Astrophysics department of the University of Oxford
- STFC [ST/H002456/1, ST/H008896/1, ST/F003110/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/H008896/1, ST/F003110/1, ST/H002456/1] Funding Source: researchfish
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We present an analytical calculation of the extreme value statistics for dark matter haloes - i.e., 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.
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