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.
Cite
@article{arxiv.1101.2896,
title = {Most massive halos with Gumbel Statistics},
author = {Olaf Davis and Julien Devriendt and Stéphane Colombi and Joe Silk and Christophe Pichon},
journal= {arXiv preprint arXiv:1101.2896},
year = {2015}
}
Comments
Accepted to MNRAS