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We discuss the different definitions of the mass of a halo in common use and how one may convert between them. Using N-body simulations we show that mass estimates based on spherical averages are much more tightly correlated with each other…

Astrophysics · Physics 2009-08-18 Martin White

We use the Millennium Simulation series to investigate the mass and redshift dependence of the concentration of equilibrium cold dark matter (CDM) halos. We extend earlier work on the relation between halo mass profiles and assembly…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Aaron D. Ludlow , Julio F. Navarro , Raul E. Angulo , Michael Boylan-Kolchin , Volker Springel , Carlos Frenk , Simon D. M. White

In this paper, I use the extension of the excursion set model of Sheth & Tormen (2002) and the barrier shape obtained in Del Popolo & Gambera (1998) to calculate the unconditional halo mass function, and the conditional mass function in…

Astrophysics · Physics 2016-08-16 A. Del Popolo

We present an analytic formula for the supercluster mass function which is constructed by modifying the extended Zel'dovich model for the halo mass function. The formula has two characteristic parameters whose best-fit values are determined…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Seunghwan Lim , Jounghun Lee

(Abridged) We study predictions for galaxy cluster observables that can test the statistics of dark matter halo shapes expected in a flat LCDM universe. We present a simple analytical model for the prediction of cluster-scale X-ray…

Context. The clustering of dark-matter halos depends primarily on halo mass. However, at fixed halo mass, numerical simulations have revealed multiple secondary dependencies. This so-called secondary halo bias has important implications for…

Astrophysics of Galaxies · Physics 2025-08-13 Yigon Kim , Antonio D. Montero-Dorta , Rory Smith , Jong-Ho Shinn

Galaxy group masses are important to relate these systems with the dark matter halo hosts. However, deriving accurate mass estimates is particularly challenging for low-mass galaxy groups. Moreover, calibration of bservational mass-proxies…

We use a large dark matter simulation of a LambdaCDM model to investigate the clustering and environmental dependence of the number of substructures in a halo. Focusing on redshift z=1, we find that the halo occupation distribution is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Rupert Croft , Tiziana Di Matteo , Nishikanta Khandai , Volker Springel , Anirban Jana , Jeffrey Gardner

We perform an ensemble of $N$-body simulations with $2048^3$ particles for 101 flat $w$CDM cosmological models sampled based on a maximin-distance Sliced Latin Hypercube Design. By using the halo catalogs extracted at multiple redshifts in…

The dark matter halo mass function (HMF) is a characteristic property of cosmological structure formation models, quantifying the number density of dark matter haloes per unit mass in the Universe. A key goal of current and planned large…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-01 Steven Murray , Chris Power , Aaron Robotham

We present a new theory for the hierarchical clustering of dark matter (DM) halos based on stochastic differential equations, that constitutes a change of perspective with respect to existing frameworks (e.g., the excursion set approach);…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Andrea Lapi , Luigi Danese

We study the occupation statistics of galaxies in dark matter haloes using galaxy groups identified from the 2-degree Field Galaxy Redshift Survey with the halo-based group finder of Yang et al. The occupation distribution is considered…

Astrophysics · Physics 2009-11-10 Xiaohu Yang , H. J. Mo , Y. P. Jing , Frank C. van den Bosch

In this paper we describe the Bayesian link between the cosmological mass function and the distribution of times at which isolated halos of a given mass exist. By assuming that clumps of dark matter undergo monotonic growth on the…

Astrophysics · Physics 2015-06-24 W. J. Percival , L. Miller , J. A. Peacock

I compare various semi-analytic models for the bias of dark matter halos with halo clustering properties observed in recent numerical simulations. The best fitting model is one based on the collapse of ellipsoidal perturbations proposed by…

Astrophysics · Physics 2016-08-30 James Robinson

We use the IllustrisTNG300-ODM simulation to investigate the spin bias of low-mass halos and its connection to the strong clustering of ultra-diffuse galaxies (UDGs) reported by Zhang et al. (2025). By comparing two halo spin…

Astrophysics of Galaxies · Physics 2026-05-14 Qinglin Ma , Cheng Li , Yangyao Chen , Houjun Mo

Recently there has been a lot of attention focussed on a virialized halo-based approach to understanding the properties of the matter and galaxy power spectrum. A key ingredient in this model is the number and distribution of galaxies…

Astrophysics · Physics 2009-10-31 Martin White , Lars Hernquist , Volker Springel

In this work we propose a novel method for testing the validity of the fiducial LCDM cosmology by measuring the cumulative distribution function of the most massive haloes in a sample of subvolumes of identical size tiled on the sky at a…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-14 J. -C. Waizmann , S. Ettori , L. Moscardini

Halo models provide a simple and computationally inexpensive way to investigate the connection between galaxies and their dark matter haloes. However, these models rely on the assumption that the role of baryons can be easily parametrized…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Gillian D. Beltz-Mohrmann , Andreas A. Berlind , Adam O. Szewciw

We present a new prescription for the halo mass function (HMF) built upon the Evolution Mapping framework. This approach provides a physical motivation to parametrise the non-universality of the HMF in terms of the recent history of…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-24 Andrea Fiorilli , Andrés N. Ruiz , Ariel G. Sanchez , Matteo Esposito

We build a simple analytical model for the bias of dark matter halos that applies to objects defined by an arbitrary density threshold, $200\leq\deltas\leq 1600$, and that provides accurate predictions from low-mass to high-mass halos. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Patrick Valageas