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The excursion set theory of halo formation is modified by adopting the fractional Brownian motion, to account for possible correlation between merging steps. We worked out analytically the conditional mass function, halo merging rate and…

Astrophysics · Physics 2009-11-13 Jun Pan , Yougang Wang , Xuelei Chen , Luis Teodoro

Galaxy clusters and cosmic voids, the most extreme objects of our Universe in terms of mass and size, trace two opposite sides of the large-scale matter density field. By studying their abundance as a function of their mass and radius,…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-18 Davide Pelliciari , Sofia Contarini , Federico Marulli , Lauro Moscardini , Carlo Giocoli , Giorgio Francesco Lesci , Klaus Dolag

We review the field of collisionless numerical simulations for the large-scale structure of the Universe. We start by providing the main set of equations solved by these simulations and their connection with General Relativity. We then…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Raul E. Angulo , Oliver Hahn

We study a model of crowd motion following a gradient vector field, with possibly additional interaction terms such as attraction/repulsion, and we present a numerical scheme for its solution through a Lagrangian discretization. The density…

Numerical Analysis · Mathematics 2020-05-01 Hugo Leclerc , Quentin Mérigot , Filippo Santambrogio , Federico Stra

We conduct a thorough study into the feasibility of measuring large-scale correlated proper motions of galaxies with astrometric surveys. We introduce a harmonic formalism for analysing proper motions and their correlation functions on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-14 Alex Hall

We propose a new definition of cosmic voids based on methods of Lagrangian orbit reconstruction as well as an algorithm to find them in actual data called DIVA. Our technique is intended to yield results which can be modeled sufficiently…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Guilhem Lavaux , Benjamin D. Wandelt

We present precise measurements of the assembly bias of dark matter halos, i.e. the dependence of halo bias on other properties than the mass, using curved "separate universe" N-body simulations which effectively incorporate an…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Titouan Lazeyras , Marcello Musso , Fabian Schmidt

We investigate the origin of halo assembly bias, the dependence of halo clustering on assembly history. We relate halo assembly to peak properties measured in the Lagrangian space of the initial linear Gaussian random density field, and…

Astrophysics · Physics 2010-05-25 Neal Dalal , Martin White , J. Richard Bond , Alexander Shirokov

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

The average matter density within the turnaround scale, which demarcates where galaxies shift from clustering around a structure to joining the expansion of the Universe, is an important cosmological probe. However, a measurement of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-02 Giorgos Korkidis , Vasiliki Pavlidou

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

A suggested solution to the dark energy problem is the void model, where accelerated expansion is replaced by Hubble-scale inhomogeneity. In these models, density perturbations grow on a radially inhomogeneous background. This large scale…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-22 Sean February , Chris Clarkson , Roy Maartens

Understanding $\textit{galaxy bias}$ -- that is the statistical relation between matter and galaxies -- is of key importance for extracting cosmological information from galaxy surveys. While the bias function $f$ -- that is the probability…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-05 Jens Stücker , Marcos Pellejero-Ibáñez , Rodrigo Voivodic , Raul E. Angulo

A recently-proposed algorithm identifies voids in simulations as the regions associated with halos when the initial overdensity field is negated. We apply this method to the real Universe by running a suite of constrained simulations of the…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Harry Desmond , Maxwell L. Hutt , Julien Devriendt , Adrianne Slyz

We delineate the conditions under which the consistency relation for the non-Gaussian bias and the universality of the halo mass function hold in the context of microscopic Lagrangian descriptions of halos. The former is valid provided that…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Vincent Desjacques , Donghui Jeong , Fabian Schmidt

Recently, we determined a lower bound for the Milky Way mass in a point mass approximation. This result was obtained for most general spherically symmetric phase-space distribution functions consistent with a measured radial velocity…

Astrophysics of Galaxies · Physics 2016-11-04 Szymon Sikora , Łukasz Bratek , Joanna Jałocha , Marek Kutschera

By using a suite of large box-size N-body simulations that incorporate massive neutrinos as an extra set of particles, we investigate the impact of neutrino masses on the spatial distribution of dark matter haloes and galaxies. We compute…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 Francisco Villaescusa-Navarro , Federico Marulli , Matteo Viel , Enzo Branchini , Emanuele Castorina , Emiliano Sefusatti , Shun Saito

We present the UNIT $N$-body cosmological simulations project, designed to provide precise predictions for nonlinear statistics of the galaxy distribution. We focus on characterizing statistics relevant to emission line and luminous red…

The multiplicity function (MF) of groups and clusters of galaxies is determined using galaxy catalogues extracted from a set of Digitized Palomar Sky Survey (DPOSS) plates. The two different types of structures (of low and high richness)…

Astrophysics · Physics 2009-11-07 E. Puddu , E. De Filippis , G. Longo , S. Andreon , R. R. Gal

We study the large-scale bias parameter of cosmic voids with primordial non-Gaussian (PNG) initial conditions of the local type. In this scenario, the dark matter halo bias exhibits a characteristic scale dependence on large scales, which…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-03 Kwan Chuen Chan , Nico Hamaus , Matteo Biagetti