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We discuss in the framework of the excursion set formalism a recent discovery from N-body simulations that the clustering of haloes of given mass depends on their formation history. We review why the standard implementation of this…

Astrophysics · Physics 2008-11-26 H. B. Sandvik , O. Moeller , J. Lee , S. D. M. White

In the Excursion Set approach, halo abundances and clustering are closely related. This relation is exploited in many modern methods which seek to constrain cosmological parameters on the basis of the observed spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-23 Aseem Paranjape , Ravi K. Sheth

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

Halo bias links the statistical properties of the spatial distribution of dark matter halos to those of the underlying dark matter field, providing insights into clustering properties in both general relativity (GR) and modified-gravity…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-20 Jorge Enrique García-Farieta , Antonio D. Montero-Dorta , Andrés Balaguera-Antolínez

We determine the error introduced in a joint halo model analysis of galaxy-galaxy lensing and galaxy clustering observables when adopting the standard approximation of linear halo bias. Considering the Kilo-Degree Survey, we forecast that…

We study scaling behaviour of statistics of voids in the context of the halo model of nonlinear large-scale structure. The halo model allows us to understand why the observed galaxy void probability obeys hierarchical scaling, even though…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 J. N. Fry , S. Colombi

Clustering of dark matter halos has been shown to depend on halo properties beyond mass such as halo concentration, a phenomenon referred to as halo assembly bias. Standard halo occupation models (HOD) in large scale structure studies…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-05 Mohammadjavad Vakili , ChangHoon Hahn

We derive an analytic formula of genus for dark matter halos assuming that the primordial mass density field obeys the random-Gaussian statistics. In particular, we for the first time take account of the nonlinear nature of the halo…

Astrophysics · Physics 2009-11-06 Chiaki Hikage , Atsushi Taruya , Yasushi Suto

Using dark matter simulations we show how halo bias is determined by local density and not by halo mass. This is not totally surprising, as according to the peak-background split model, local density is the property that constraints bias at…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Arnau Pujol , Kai Hoffmann , Noelia Jiménez , Enrique Gaztañaga

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 develop the formalism to include substructure in the halo model of clustering. Real halos are not likely to be perfectly smooth, but have substructure which has so far been neglected in the halo model -- our formalism allows one to…

Astrophysics · Physics 2009-11-07 Ravi K. Sheth , Bhuvnesh Jain

We use the halo model formalism to provide expressions for cluster abundances and bias, as well as estimates for the correlation matrix between these observables. Off-diagonal elements due to scatter in the mass tracer scaling with mass are…

Astrophysics · Physics 2011-05-12 Eduardo Rozo , Scott Dodelson , Joshua A. Frieman

We develop a novel approach in exploring the joint dependence of halo bias on multiple halo properties using Gaussian process regression. Using a $\Lambda$CDM $N$-body simulation, we carry out a comprehensive study of the joint bias…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Jiaxin Han , Yin Li , Yipeng Jing , Takahiro Nishimichi , Wenting Wang , Chunyan Jiang

Context. The clustering of dark-matter halos depends primarily on halo mass. However, at fixed halo mass, numerical simulations have revealed multiple secondary dependencies. This so-called secondary halo bias has important implications for…

Astrophysics of Galaxies · Physics 2025-08-13 Yigon Kim , Antonio D. Montero-Dorta , Rory Smith , Jong-Ho Shinn

We combine the physics of the ellipsoidal collapse model with the excursion set theory to study the shapes of dark matter halos. In particular, we develop an analytic approximation to the nonlinear evolution that is more accurate than the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Graziano Rossi , Ravi K. Sheth , Giuseppe Tormen

Marked statistics allow sensitive tests of how galaxy properties correlate with environment, as well as of how correlations between galaxy properties are affected by environment. A halo-model description of marked correlations is developed,…

Astrophysics · Physics 2009-11-16 Ravi K. Sheth

Dark-matter halos show a universal density profile with a scaling such that less massive systems are typically denser. This mass-density relation is well described by a proportionality between the characteristic density of halos and the…

Astrophysics · Physics 2009-10-31 A. Raig , G. Gonzalez-Casado , E. Salvador-Sole

Dark matter halo clustering depends not only on halo mass, but also on other properties such as concentration and shape. This phenomenon is known broadly as assembly bias. We explore the dependence of assembly bias on halo definition,…

The way in which the large-scale cosmic environment affects galactic properties is not yet understood. Dark matter halos, which embed galaxies, initially evolve following linear theory. Their subsequent evolution is driven by non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-20 Anatole Storck , Corentin Cadiou , Oscar Agertz , Daniela Galárraga-Espinosa

We use the Gigaparsec WiggleZ (GiggleZ) simulations to characterise galaxy bias and its scale dependence for a range of redshifts and halo masses in a standard $\Lambda$LCDM cosmology. Assuming bias converges to a scale independent form at…