Journal article
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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Authors
- 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
Terms of use
- Copyright date:
- 2011
- Notes:
- Accepted to MNRAS
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