We review the effect of the formation of nonlinear structures on the expansion rate, spatial
curvature, and light propagation in the universe, focusing on the possibility that this effect …

Parameter estimation with non-Gaussian stochastic fields is a common challenge in
astrophysics and cosmology. In this paper, we advocate performing this task using the …

The effective evolution of an inhomogeneous universe model in any theory of gravitation
may be described in terms of spatially averaged variables. In Einstein's theory, restricting …

Since the discovery of the accelerated expansion of the present universe, significant
theoretical developments have been made in the area of modified gravity. In the meantime …

Shortly after its discovery, General Relativity (GR) was applied to predict the behavior of our
Universe on the largest scales, and later became the foundation of modern cosmology. Its …

Galaxy redshift surveys have achieved significant progress over the last couple of decades.
Those surveys tell us in the most straightforward way what our local Universe looks like …

We derive analytical formulae for the Minkowski functionals of the cosmic microwave
background (CMB) and large-scale structure (LSS) from primordial non-Gaussianity. These …

We present a chrono-cosmography project, aiming at the inference of the four dimensional
formation history of the observed large scale structure from its origin to the present epoch. To …

The studies of disordered heterogeneous media and galaxy cosmology share a common
goal: analyzing the disordered distribution of particles and/or building blocks at microscales …

We present measurements of the Minkowski functionals extracted from the SDSS-III BOSS
catalogs. After defining the Minkowski functionals, we describe how an unbiased …