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We discuss an analytic approach for modeling structure formation in sheets, filaments and knots. This is accomplished by combining models of triaxial collapse with the excursion set approach: sheets are defined as objects which have…

Astrophysics · Physics 2009-07-07 Jiajian Shen , Tom Abel , H. J. Mo , Ravi Sheth

Recently, we provided a simple but accurate formula which closely approximates the first crossing distribution associated with random walks having correlated steps. The approximation is accurate for the wide range of barrier shapes of…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-09 Marcello Musso , Ravi K. Sheth

Understanding the universal accretion history of dark matter halos is the first step towards determining the origin of their structure. We use the extended Press-Schechter formalism to derive the halo mass accretion history from the growth…

Astrophysics of Galaxies · Physics 2015-08-04 Camila A. Correa , J. Stuart B. Wyithe , Joop Schaye , Alan R. Duffy

We investigate the dependence of the mass function of dark-matter haloes on their environment within the cosmic web of large-scale structure. A dependence of the halo mass function on large-scale mean density is a standard element of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 David Alonso , Elizabeth Eardley , John A. Peacock

We develop a self-consistent and accurate halo model by partitioning matter according to the depletion radii of haloes. Unlike conventional models that define haloes with the virial radius while relying on a separate exclusion radius or…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-20 Yifeng Zhou , Jiaxin Han

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

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

Dark matter halos destined to fall into a more massive host differ from typical field halos of the same mass even before infall. In cosmological simulations, we find that the progenitor mass functions of these "future subhalos" are…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 M. Sten Delos , Andrew Benson

I calculate the mass function evolution in a $\Lambda$CDM model by means of the excursion set model and an improved version of the barrier shape obtained in Del Popolo & Gambera (1998), which implicitly takes account of the total angular…

Astrophysics · Physics 2008-11-26 A. Del Popolo

We use the Extended-Press-Schechter (EPS) formalism to study halo assembly histories in a standard $\Lambda$CDM cosmology. A large ensemble of Monte Carlo random walks provides the {\it entire} halo membership histories of a representative…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 R. E. Angulo , S. D. M. White

The first dark matter halos form by direct collapse from peaks in the matter density field, and evidence from numerical simulations and other analyses suggests that the dense inner regions of these objects largely persist today. These halos…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 M. Sten Delos , Margie Bruff , Adrienne L. Erickcek

For an $n$-element subset $U$ of $\mathbb{Z}^2$, select $x$ from $U$ according to harmonic measure from infinity, remove $x$ from $U$, and start a random walk from $x$. If the walk leaves from $y$ when it first enters $U$, add $y$ to $U$.…

Probability · Mathematics 2021-10-27 Jacob Calvert , Shirshendu Ganguly , Alan Hammond

We analyse modelling techniques for the large-scale structure formed in scalar-tensor theories of constant Brans-Dicke parameter which match the concordance model background expansion history and produce a chameleon suppression of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-14 Lucas Lombriser , Kazuya Koyama , Baojiu Li

We have made a detailed comparison of the results of large N-body simulations with the analytical description of the merging histories of dark matter halos presented in Lacey & Cole 1993, which is based on an extension of the Press-…

Astrophysics · Physics 2015-06-24 Cedric Lacey , Shaun Cole

The abundance of massive dark matter halos hosting galaxy clusters provides an important test of the masses of relic neutrino species. The dominant effect of neutrino mass is to lower the typical amplitude of density perturbations that…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-03 Marilena LoVerde

The dark matter halo mass function is a key repository of cosmological information over a wide range of mass scales, from individual galaxies to galaxy clusters. N-body simulations have established that the friends-of-friends (FOF) mass…

Astrophysics · Physics 2009-06-23 Zarija Lukić , Darren Reed , Salman Habib , Katrin Heitmann

We describe an algorithm for identifying ellipsoidal haloes in numerical simulations, and quantify how the resulting estimates of halo mass and shape differ with respect to spherical halo finders. Haloes become more prolate when fit with…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-19 Giulia Despali , Giuseppe Tormen , Ravi K. Sheth

It has been shown some years ago that dark matter haloes outskirts are characterized by very steep density profiles in a very small radial range. This feature has been interpreted as a pile up of at a similar location of different particle…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-29 Antonino Del Popolo , Morgan Le Delliou

In the standard model of cosmic structure formation, dark matter haloes form by gravitational instability. The process is hierarchical: smaller systems collapse earlier, and later merge to form larger haloes. The galaxy clusters, hosted by…

Astrophysics · Physics 2009-11-13 Carlo Giocoli , Lidia Pieri , Giuseppe Tormen

This paper presents a stochastic approach to the clustering evolution of dark matter haloes in the Universe. Haloes, identified by a Press-Schechter-type algorithm in Lagrangian space, are described in terms of `counting fields', acting as…

Astrophysics · Physics 2009-10-30 P. Catelan , F. Lucchin , S. Matarrese , C. Porciani
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