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Aims. We aim to study the stochastic evolution of the smoothed overdensity $\delta$ at scale $S$ of the form $\delta(S) = \int_{0}^S K(S,u)\mathrm{d}W(u)$, where $K$ is a kernel and $\mathrm{d}W$ is the usual Wiener process. Methods. For a…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-23 Nicos Hiotelis , Antonino Del Popolo

The halo mass function, encoding the comoving number density of dark matter halos of a given mass, plays a key role in understanding the formation and evolution of galaxies. As such, it is a key goal of current and future deep optical…

Astrophysics of Galaxies · Physics 2018-03-14 Steven G. Murray , Aaron S. G. Robotham , Chris Power

We revisit the derivation of the mass function and the bias of dark matter halos for non-Gaussian initial conditions. We use a steepest-descent approach to point out that exact results can be obtained for the high-mass tail of the halo mass…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 P. Valageas

On the one hand, the large scale structure of matter is arguably scale invariant, and, on the other hand, halos and voids are recognized as prominent features of that structure. To unify both approaches, we propose to model the dark matter…

Astrophysics · Physics 2008-11-26 Jose Gaite

In this work we review the theory of the spherical collapse model and critically analyse the aspects of the numerical implementation of its fundamental equations. By extending a recent work by Herrera et al. 2017, we show how different…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-21 Francesco Pace , Sven Meyer , Matthias Bartelmann

Fuzzy dark matter (FDM) or wave dark matter is an alternative theory designed to solve the small-scale problems faced by the standard cold dark matter proposal for the primary material component of the universe. It is made up of ultra-light…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Mihir Kulkarni , Jeremiah P. Ostriker

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

The mass distribution of dark matter halos is a sensitive probe of primordial non-Gaussianity (NG). We derive an analytical formula of the halo mass function by perturbatively computing excursion set path-integrals for a non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-15 Ixandra Achitouv , Pier Stefano Corasaniti

We study the mass, velocity dispersion, and anisotropy profiles of $\Lambda$CDM halos using a suite of N-body simulations of unprecedented numerical resolution (the {\it Aquarius Project}). Our analysis confirms a number of results claimed…

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 present our determination of the nuclear supermassive black hole (SMBH) mass function for spiral galaxies in the Local Universe, established from a volume-limited sample consisting of a statistically complete collection of the brightest…

We present a new theoretical framework for the halo mass function (HMF) that accurately predicts the abundance of dark matter haloes across an exceptionally wide range in mass and redshift. Building on a generalised Press & Schechter model…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Elena Fernández-García , Juan E. Betancort-Rijo , Francisco Prada , Tomoaki Ishiyama , Anatoly Klypin , José Ruedas

Simulations of cold dark matter make robust predictions about the slope and normalization of the dark matter halo and subhalo mass functions on small scales. Recent observational advances utilizing strong gravitational lensing have…

Astrophysics of Galaxies · Physics 2020-02-12 Andrew J. Benson

The baryon content of high-density regions in the universe is relevant to two critical unanswered questions: the workings of nurture effects on galaxies and the whereabouts of the missing baryons. In this paper, we analyze the distribution…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 A. Faltenbacher , A. Finoguenov , N. Drory

The lensing signal around galaxy clusters can, in principle, be used to test detailed predictions for their average mass profile from numerical simulations. However, the intrinsic shape of the profiles can be smeared out when a sample that…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Keiichi Umetsu , Benedikt Diemer

Dark matter haloes are biased tracers of the underlying dark matter distribution. We use a simple model to provide a relation between the abundance of dark matter haloes and their spatial distribution on large scales. Our model shows that…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , Giuseppe Tormen

We study the spherical collapse of an over-density of a barotropic fluid with linear equation of state in a cosmological background. Fully relativistic simulations are performed by using the Baumgarte-Shibata-Shapiro-Nakamura formalism…

General Relativity and Quantum Cosmology · Physics 2021-04-15 François Staelens , Jérémy Rekier , André Füzfa

We present a simple, semi-analytical model to compute the mass functions of dark matter subhaloes. The masses of subhaloes at their time of accretion are obtained from a standard merger tree. During the subsequent evolution, the subhaloes…

Astrophysics · Physics 2009-02-24 Frank C. van den Bosch , G. Tormen , C. Giocoli

We investigate the mass profile of LambdaCDM halos using a suite of numerical simulations spanning five decades in halo mass, from dwarf galaxies to rich galaxy clusters. Our analysis confirms the proposal of Navarro, Frenk & White (NFW)…

We construct an analytic formalism for the mass function of cold dark matter halos, assuming that there is a break in the hierarchical merging process. According to this {\it broken-hierarchy} scenario, due to the inherent nature of the…

Astrophysics · Physics 2007-05-23 Jounghun Lee
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