# Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes

@article{Sheth2001EllipsoidalCA, title={Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes}, author={Ravi K. Sheth and H. J. Mo Giuseppe Tormen}, journal={Monthly Notices of the Royal Astronomical Society}, year={2001}, volume={323}, pages={1-12} }

The Press–Schechter, excursion set approach allows one to make predictions about the shape and evolution of the mass function of bound objects. The approach combines the assumption that objects collapse spherically with the assumption that the initial density fluctuations were Gaussian and small. The predicted mass function is reasonably accurate, although it has fewer high-mass and more low-mass objects than are seen in simulations of hierarchical clustering. We show that the discrepancy…

## 1,302 Citations

### Non-linear matter power spectrum without screening dynamics modelling in f(R) gravity

- Physics
- 2020

Halo model is a physically intuitive method for modelling the non-linear power spectrum, especially for the alternatives to the standard ΛCDM models. In this paper, we examine the Sheth–Tormen…

### Nonlinear structure formation in Bound Dark Energy

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2020

We study nonlinear structure formation in the Bound Dark Energy model (BDE), where dark energy (DE) corresponds to a light scalar meson particle ϕ dynamically formed at a condensation energy scale…

### From micro to Macro: Particle Physics, Gravity and Cosmology

- Physics
- 2019

In this thesis we review the particle content of our Universe and its cosmic evolution and show some new physics searches in these two areas. In Part I we present bounds on the energy scale of new…

### Probing dark matter structure down to 107 solar masses: flux ratio statistics in gravitational lenses with line-of-sight haloes

- PhysicsMonthly Notices of the Royal Astronomical Society
- 2019

Strong lensing provides a powerful means of investigating the nature of dark matter as it probes dark matter structure on sub-galactic scales. We present an extension of a forward modelling…

### Compact star forming galaxies as the progenitors of compact quiescent galaxies: Clustering result

- Physics
- 2017

### THE CHANDRA COSMOS LEGACY SURVEY: CLUSTERING OF X-RAY-SELECTED AGNs AT 2.9 ≤ z ≤ 5.5 USING PHOTOMETRIC REDSHIFT PROBABILITY DISTRIBUTION FUNCTIONS

- Physics
- 2016

We present the measurement of the projected and redshift-space two-point correlation function (2pcf) of the new catalog of Chandra COSMOS-Legacy active galactic nucleus (AGN) at 2.9 ≤ z ≤ 5.5 ( 〈 L…

### A New Statistical Model for Population III Supernova Rates: Discriminating Between ΛCDM and WDM Cosmologies

- Physics
- 2016

With new observational facilities becoming available soon, discovering and characterising supernovae from the first stars will open up alternative observational windows to the end of the cosmic dark…

### Velocity and mass bias in the distribution of dark matter haloes

- Physics
- 2014

The non-linear, scale-dependent bias in the mass distribution of galaxies and the underlying dark matter is a key systematic affecting the extraction of cosmological parameters from galaxy…

### The locations of halo formation and the peaks formalism

- Physics
- 2014

We investigate the problem of predicting the halo mass function from the properties of the Lagrangian density field. We focus on a perturbation spectrum with a small-scale cut-off (as in warm dark…

## References

SHOWING 1-10 OF 39 REFERENCES

### The statistics of peaks of Gaussian random fields

- Physics
- 1986

A set of new mathematical results on the theory of Gaussian random fields is presented, and the application of such calculations in cosmology to treat questions of structure formation from…

### Clustering of galaxies in a hierarchical universe - I. Methods and results at z=0

- Physics
- 1999

We introduce a new technique for following the formation and evolution of galaxies in cosmological N-body simulations. Dissipationless simulations are used to track the formation and merging of dark…

### Excursion set mass functions for hierarchical Gaussian fluctuations

- Physics
- 1991

Most schemes for determining the mass function of virialized objects from the statistics of the initial density perturbation field suffer from the «cloud-in-cloud» problem of miscounting the number…

### Large scale bias and the peak background split

- Physics
- 1999

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…

### The Cosmological Mass Distribution Function in the Zeldovich Approximation

- Physics
- 1997

An analytic approximation of the mass function for gravitationally bound objects is presented. Based on the Zeldovich approximation, we extend the Press-Schechter formalism to a nonspherical…

### Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation

- Physics
- 1974

### The forest of merger history trees associated with the formation of dark matter haloes

- Computer Science
- 1999

A simple, efficient algorithm is described that allows one to construct Monte Carlo realizations of merger histories of dark matter haloes using the excursion set model for the conditional and unconditional halo mass functions.

### An analytic model for the spatial clustering of dark matter haloes

- Physics
- 1996

We develop a simple analytic model for the gravitational clustering of dark matter haloes to understand how their spatial distribution is biased relative to that of the mass. The statistical…

### Biasing and the distribution of dark matter haloes

- Physics
- 1999

In hierarchical models of gravitational clustering, virialized haloes are biased tracers of the matter distribution. As discussed by Mo & White, this bias is non-linear and stochastic. They developed…