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 …

The last decades witnessed a renewal of interest in the Burgers equation. Much activities
focused on extensions of the original one-dimensional pressureless model introduced in the …

LARGE-SCALE structure in the distribution of galaxies is thought to have evolved through
gravitational instabilities from small density fluctuations in the (largely homogeneous) early …

The cosmic web is the largest scale manifestation of the anisotropic gravitational collapse of
matter. It represents the transitional stage between linear and non-linear structures and …

The cosmic web is one of the most striking features of the distribution of galaxies and dark
matter on the largest scales in the Universe. It is composed of dense regions packed full of …

This paper deals with the time evolution in the matter era of perturbations in Friedman-
Lemaitre models with arbitrary density parameter $\Omega $, with either a zero …

▪ Abstract Cosmic structure has formed as a result of gravitational amplification of primordial
density fluctuations together with the action of other physical processes (adiabatic gas …

Sophisticated analysis of modern large-scale structure surveys requires mock catalogues.
Mock catalogues are used to optimize survey design, test reduction and analysis pipelines …

Abstract Work initiated by Zeldovich (Astron. & Astrophys. 5, 84, 1970) and the Russian
school indicates that the formation of large-scale structures in the Universe can be analyzed …

The properties of the probability distribution function of the cosmological continuous density
field are studied. We present further developments and compare dynamically motivated …