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We compute the effect of primordial non-Gaussianity on the halo mass function, using excursion set theory. In the presence of non-Gaussianity the stochastic evolution of the smoothed density field, as a function of the smoothing scale, is…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Michele Maggiore , Antonio Riotto

The fractional Brownian motion with index $\alpha$ is introduced to construct the fractional excursion set model. A new mass function with single parameter $\alpha$ is derived within the formalism, of which the Press-Schechter mass function…

Astrophysics · Physics 2009-11-11 Jun Pan

We present "sheet+release" simulations that reliably follow the evolution of dark matter structure at and below the dark matter free-streaming scale, where instabilities in traditional N-body simulations create a large population of…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Jens Stücker , Raul E. Angulo , Oliver Hahn , Simon D. M. White

$N$-body cosmological simulations are an essential tool to understand the observed distribution of galaxies. We use the MultiDark simulation suite, run with the Planck cosmological parameters, to revisit the mass and velocity functions. At…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-16 Johan Comparat , Francisco Prada , Gustavo Yepes , Anatoly Klypin

Aims. The predictions of the ellipticity of the dark matter halos from models of structure formation are notoriously difficult to test with observations. A direct measurement would give important constraints on the formation of galaxies,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Xinzhong Er , Peter Schneider

We measure the clustering of dark matter halos in a large set of collisionless cosmological simulations of the flat LCDM cosmology. Halos are identified using the spherical overdensity algorithm, which finds the mass around isolated peaks…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Jeremy L. Tinker , Brant E. Robertson , Andrey V. Kravtsov , Anatoly Klypin , Michael S. Warren , Gustavo Yepes , Stefan Gottlober

Nonspherical collapse is modelled, under the Zeldovich approximation, by six-dimensional random walks of the initial deformation tensor field. The collapse boundary adopted here is a slightly-modified version of that proposed by Chiueh and…

Astrophysics · Physics 2009-11-07 Lihwai Lin , Tzihong Chiueh , Jounghun Lee

We present an analytic model for the splashback mass function of dark matter halos, which is parameterized by a single coefficient and constructed in the framework of the generalized excursion set theory and the self-similar spherical…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Suho Ryu , Jounghun Lee

We present a pedagogical review of the halo model, a flexible framework that can describe the distribution of matter and its tracers on non-linear scales for both conventional and exotic cosmological models. We start with the premise that…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Marika Asgari , Alexander J. Mead , Catherine Heymans

We study the use of parallax microlensing to separate the effects of the mass function of dark massive halo objects (MHOs or `machos') on the one hand and their spatial distribution and kinematics on the other. This disentanglement is…

Astrophysics · Physics 2007-05-23 D. Markovic

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 provide a quantitative analysis of the halo model in the context of massive neutrino cosmologies. We discuss all the ingredients necessary to model the non-linear matter and cold dark matter power spectra and compare with the results of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Elena Massara , Francisco Villaescusa-Navarro , Matteo Viel

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

The abundance of dark matter haloes is one of the key probes of the growth of structure and expansion history of the Universe. Theoretical predictions for this quantity usually assume that, when expressed in a certain form, it depends only…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Lurdes Ondaro-Mallea , Raul E. Angulo , Matteo Zennaro , Sergio Contreras , Giovanni Aricò

The predicted mass function of dark matter halos is essential in connecting observed galaxy cluster counts and models of galaxy clustering to the properties of the primordial density field. We determine the mass function in the concordance…

Astrophysics · Physics 2011-02-11 Michael S. Warren , Kevork Abazajian , Daniel E. Holz , Luis Teodoro

We describe a model of dark matter halo abundances and clustering which combines the two most widely used approaches to this problem: that based on peaks and the other based on excursion sets. Our approach can be thought of as addressing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Aseem Paranjape , Ravi K. Sheth

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…

We revisit the study of the mass functions and the bias of dark matter halos. Focusing on the limit of rare massive halos, we point out that exact analytical results can be obtained for the large-mass tail of the halo mass function. This is…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-22 P. Valageas

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 present an algorithm for generating merger histories of dark matter haloes. The algorithm is based on the excursion set approach with moving barriers whose shape is motivated by the ellipsoidal collapse model of halo formation. In…

Astrophysics · Physics 2009-01-03 Jorge Moreno , Carlo Giocoli , Ravi K. Sheth