Most massive haloes with Gumbel statistics
Article first published online: 16 MAR 2011
© 2011 The Authors Monthly Notices of the Royal Astronomical Society © 2011 RAS
Monthly Notices of the Royal Astronomical Society
Volume 413, Issue 3, pages 2087–2092, May 2011
How to Cite
Davis, O., Devriendt, J., Colombi, S., Silk, J. and Pichon, C. (2011), Most massive haloes with Gumbel statistics. Monthly Notices of the Royal Astronomical Society, 413: 2087–2092. doi: 10.1111/j.1365-2966.2011.18286.x
- Issue published online: 11 MAY 2011
- Article first published online: 16 MAR 2011
- Accepted 2011 January 2. Received 2010 December 10; in original form 2010 October 17
- methods: analytical;
- methods: statistical;
- dark matter;
- large-scale structure of Universe
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.