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We study the formation of dark matter halos in the concordance LCDM model over a wide range of redshifts, from z=20 to the present. Our primary focus is the halo mass function, a key probe of cosmology. By performing a large suite of…

Astrophysics · Physics 2008-11-26 Zarija Lukic , Katrin Heitmann , Salman Habib , Sergei Bashinsky , Paul M. Ricker

We use an array of high-resolution N-body simulations to determine the mass function of dark matter haloes at redshifts 10-30. We develop a new method for compensating for the effects of finite simulation volume that allows us to find an…

Astrophysics · Physics 2008-11-26 Darren Reed , Richard Bower , Carlos Frenk , Adrian Jenkins , Tom Theuns

We use a high resolution $\Lambda$CDM numerical simulation to calculate the mass function of dark matter haloes down to the scale of dwarf galaxies, back to a redshift of fifteen, in a 50 $h^{-1}$Mpc volume containing 80 million particles.…

We study the evolution of the mass function of dark matter halos in the concordance LCDM model at high redshift. We employ overlapping (multiple-realization) numerical simulations to cover a wide range of halo masses,…

Astrophysics · Physics 2009-11-11 Katrin Heitmann , Zarija Lukic , Salman Habib , Paul M. Ricker

We present an empirical method to measure the halo mass function (HMF) of galaxies. We determine the relation between the \hi\ line-width from single-dish observations and the dark matter halo mass ($M_{200}$) inferred from rotation curve…

Astrophysics of Galaxies · Physics 2020-01-08 Pengfei Li , Federico Lelli , Stacy McGaugh , Marcel S. Pawlowski , Martin A. Zwaan , James Schombert

We measure the mass function of dark matter halos in a large set of collisionless cosmological simulations of flat LCDM cosmology and investigate its evolution at z<~2. Halos are identified as isolated density peaks, and their masses are…

Aims. The main purpose of this work is to provide a method to derive tabulated observational constraints on the halo mass function (HMF) by studying the magnification bias effect on high-redshift submillimeter galaxies. Under the assumption…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-09 M. M. Cueli , L. Bonavera , J. González-Nuevo , A. Lapi

In a recent study by Euclid collaboration, the halo mass function (HMF) has been fitted with accuracy better than $1\%$ for the $\Lambda$CDM model. Several parameters were introduced and fitted against N-body simulations, assuming the usual…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Ronaldo C. Batista

Modern cosmological inference increasingly relies on differentiable models to enable efficient, gradient-based parameter estimation and uncertainty quantification. Here, we present a novel approach for predicting the abundance of dark…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Jim Buisman , Florian List , Oliver Hahn

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

Accurate theoretical prediction for halo mass function across a broad cosmological space is crucial for the forthcoming China Space Station Telescope (CSST) observations, which will capture cosmological information from multiple probes,…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-18 Zhao Chen , Yu Yu

Sheth-Tormen mass function has been widely used to quantify the abundance of dark matter halos. It is a significant improvement over the Press-Schechter mass function as it uses ellipsoidal collapse in place of spherical collapse. Both of…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-05 Swati Gavas , J S Bagla , Nishikanta Khandai , Girish Kulkarni

We combine data from a number of N-body simulations to predict the abundance of dark halos in Cold Dark Matter universes over more than 4 orders of magnitude in mass. A comparison of different simulations suggests that the dominant…

Aims. The main goal of this paper is to derive observational constraints on the halo mass fuction (HMF) by performing a tomographic analysis of the magnification bias signal on a sample of background submillimeter galaxies. The results can…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-15 M. M. Cueli , L. Bonavera , J. Gonzalez-Nuevo , D. Crespo , J. M. Casas , A. Lapi

The universality of the halo mass function is investigated in the context of dark energy cosmologies. This widely used approximation assumes that the mass function can be expressed as a function of the matter density omega_m and the rms…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 J. Courtin , Y. Rasera , J. -M. Alimi , P. -S. Corasaniti , V. Boucher , A. Fuzfa

We study the halo mass function (HMF) in modified gravity (MG) models using a set of large $N$-body simulations -- the ELEPHANT suite. We consider two popular beyond-general relativity scenarios: the Hu-Sawicki chameleon $f(R)$ model and…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-22 Suhani Gupta , Wojciech A. Hellwing , Maciej Bilicki , Jorge Enrique García-Farieta

In this paper we investigate how the halo mass function evolves with redshift, based on a suite of very large (with N_p = 3072^3 - 6000^3 particles) cosmological N-body simulations. Our halo catalogue data spans a redshift range of z =…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 William A. Watson , Ilian T. Iliev , Anson D'Aloisio , Alexander Knebe , Paul R. Shapiro , Gustavo Yepes

We study halo mass functions with high-resolution $N$-body simulations under a $\Lambda$CDM cosmology. Our simulations adopt the cosmological model that is consistent with recent measurements of the cosmic microwave backgrounds with the…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Masato Shirasaki , Tomoaki Ishiyama , Shin'ichiro Ando

Press-Schechter theory gives a simple, approximate functional form of the mass function of dark matter haloes. Sheth and Tormen (ST) refined this mass function to give an improved analytical fit to results of N-body simulations. These forms…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-21 J. S. Bagla , Nishikanta Khandai , Girish Kulkarni

The distribution of galaxies, halo abundance, and peculiar velocities are influenced by non-linear gravitational interactions, making the study of non-linear evolution crucial for accurate cosmological predictions. We explore these aspects…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 Swati Gavas
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