This review presents a comprehensive overview of galaxy bias, that is, the statistical relation
between the distribution of galaxies and matter. We focus on large scales where cosmic …

This is a review of models of inflation and of their predictions for the primordial non-
Gaussianity in the density perturbations which are thought to be at the origin of structures in …

We discuss the use of a lognormal (LN) random field as a model for the distribution of matter
in the Universe. We find a number of reasons why this should be a plausible approximation …

Over the last decade, statisticians have developed new statistical tools in the field of spatial
point processes. At the same time, observational efforts have yielded a huge amount of new …

We present a novel approach to quantifying the morphology of cosmic microwave
background (CMB) anisotropy maps. As morphological descriptors, we use shape …

Topological defects are produced during phase transitions in the very early Universe. They
arise in most unified theories of strong, weak and electromagnetic interactions. This article …

The observed abundance of high-redshift galaxies and clusters contains precious
information about the properties of the initial perturbations. We present a method to compute …

We discuss various analytical approximation methods for following the evolution of
cosmological density perturbations into the strong (ie nonlinear) clustering regime. We start …

Correlated adiabatic and isocurvature perturbation modes are produced during inflation
through an oscillation mechanism when extra scalar degrees of freedom, other than the …

We investigate the accuracy of various analytic approximations for following the evolution of
cosmological density fluctuations into the non-linear regime. We compare the results of the …