We review the quantitative science that can be and has been done with redshift and peculiar
velocity surveys of galaxies in the nearby universe. After a brief background setting the …

The aim of this review article is to give a comprehensive description of the scaling properties
detected for the distribution of cosmic structures, like galaxies and galaxy clusters. I will also …

We calculate the correlation hierarchy that first emerges from a Gaussian field, with a given
initial spectrum, owing to the nonlinearities of the dynamics in an expanding universe. The …

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

We derive the volume-averaged 2, 3, 4, and 5-point correlation functions from the moments
of the Count probability distribution function of a redshift survey of IRAS galaxies, and find …

We investigate the formation of large-scale structure by gravitational instability from
Gaussian and non-Gaussian initial conditions, using cosmological N-body simulations. Our …

Most models for the statistical connection between galaxies and their haloes ignore the
possibility that galaxy properties may be correlated with halo properties other than halo …

We study finite volume effects on the count probability distribution function PN (l) and the
averaged Q-body correlations ξ_Q_^ bar^(2<= Q<= 5). These statistics are computed for …

We study the errors brought by finite volume effects and dilution effects on the practical
determination of the count probability distribution function P_N (n, L), which is the probability …

We calculate the void probability function (VPF) in simulations of Lyα emitters (LAEs) across
a wide redshift range (z= 3.1, 4.5, 5.7, 6.6). The VPF measures the zero-point correlation …