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The peak-background split argument is commonly used to relate the abundance of dark matter halos to their spatial clustering. Testing this argument requires an accurate determination of the halo mass function. We present a Maximum…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Marc Manera , Ravi K Sheth , Roman Scoccimarro

We derive a general expression for the large-scale halo bias, in theories with a scale-dependent linear growth, using the excursion set formalism. Such theories include modified gravity models, and models in which the dark energy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-22 Kyle Parfrey , Lam Hui , Ravi K. Sheth

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

A dark matter halo is commonly defined as a spherical overdensity of matter with respect to a reference density, such as the critical density or the mean matter density of the Universe. Such definitions can lead to a spurious…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-12 Benedikt Diemer , Surhud More , Andrey Kravtsov

The initial shear field plays a central role in the formation of large-scale structures, and in shaping the geometry, morphology, and topology of the cosmic web. We discuss a recent theoretical framework for the shear tensor, termed the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-06 Graziano Rossi

Nonlinear evolution can sometimes be modelled by a deterministic mapping from initial to final of the local smoothed overdensity. Perturbation theory methods base on this deterministic and local mapping and ignore the 'cloud-in-cloud'…

Astrophysics · Physics 2008-03-18 T. Y. Lam , R. K. Sheth

We present a new theory for the hierarchical clustering of dark matter (DM) halos based on stochastic differential equations, that constitutes a change of perspective with respect to existing frameworks (e.g., the excursion set approach);…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Andrea Lapi , Luigi Danese

We investigate the impact of early-time initial conditions on nonlinear structure formation and evolution within the framework of the semi-analytical Excursion Set Theory (EST). Our analysis reveals that adding a Gaussian bump to the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-17 Hamed Kameli , Shant Baghram

If one wants to represent the galaxy number density at some point in terms of only the mass density at the same point, there appears the stochasticity in such a relation, which is referred to as ``stochastic bias''. The stochasticity is…

Astrophysics · Physics 2009-10-31 Takahiko Matsubara

We investigate the influence of the initial proto-galaxies over-densities and masses on their evolution, to understand whether the internal properties of the proto-galactic haloes are sufficient to account for the varied properties of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Emiliano Merlin , Cesare Chiosi , Lorenzo Piovan , Tommaso Grassi , Umberto Buonomo , Francesco La Barbera

The connection between dark matter halos and galactic baryons is often not well-constrained nor well-resolved in cosmological hydrodynamical simulations. Thus, Halo Occupation Distribution (HOD) models that assign galaxies to halos based on…

Astrophysics of Galaxies · Physics 2015-10-21 Stephanie Tonnesen , Renyue Cen

We estimate halo spins for HI-rich galaxies in the Arecibo Legacy Fast Alfa Survey using a semi-analytic approach, examining the relationship between halo spin and stellar surface density. Our findings reveal an inverse correlation in both…

Astrophysics of Galaxies · Physics 2024-11-28 Yu Rong , Zichen Hua , Huijie Hu

Comparing clustering of differently biased tracers of the dark matter distribution offers the opportunity to reduce the cosmic variance error in the measurement of certain cosmological parameters. We develop a formalism that includes bias…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-08 H. Gil-Marín , C. Wagner , L. Verde , R. Jimenez , A. F. Heavens

We present a stochastic model based on the Monte Carlo technique to study the inhomogeneous chemical evolution of the Galactic halo. In particular, we consider the local enrichment and subsequent mixing of the interstellar gas resulting…

Astrophysics · Physics 2009-10-31 Claudia Travaglio , Daniele Galli , Andreas Burkert

Secondary halo bias, commonly known as 'assembly bias,' is the dependence of halo clustering on a halo property other than mass. This prediction of the Lambda-Cold Dark Matter cosmology is essential to modelling the galaxy distribution to…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-30 Yao-Yuan Mao , Andrew R. Zentner , Risa H. Wechsler

A model of the gravitationally evolved dark matter distribution, in the Eulerian space, is developed. It is a simple extension of the excursion set model that is commonly used to estimate the mass function of collapsed dark matter haloes.…

Astrophysics · Physics 2009-10-30 Ravi K. Sheth

We establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-05 Enric Juan , Eduard Salvador-Solé , Guillem Domènech , Alberto Manrique

The halo occupation distribution (HOD) describes the bias between galaxies and dark matter by specifying (a) the probability P(N|M) that a halo of virial mass M contains N galaxies of a particular class and (b) the relative distributions of…

We compute the critical density of collapse for spherically symmetric overdensities in a class of f(R) modified gravity models. For the first time we evolve the Einstein, scalar field and non-linear fluid equations, making the minimal…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-26 Michael Kopp , Stephen A. Appleby , Ixandra Achitouv , Jochen Weller

Protohalos, primordial regions in the initial cosmic density field that evolve into dark matter halos, are crucial for understanding cosmic structure formation. Motivated by the potential to reconstruct protohalo positions and shapes from…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-12 Farnik Nikakhtar , Daisuke Nagai , Marcello Musso , Ravi K. Sheth