Primordial non-Gaussianity is a potentially powerful discriminant of the physical
mechanisms that generate the cosmological fluctuations observed today. Any detection of …

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

Primordial non‐Gaussianity is a potentially powerful discriminant of the physical
mechanisms that generated the cosmological fluctuations observed today. Any detection of …

We present two large cosmological N-body simulations, called Horizon Run 2 (HR2) and
Horizon Run 3 (HR3), made using 6000^ 3= 216 billions and 7210^ 3= 374 billion particles …

This study presents a numerical analysis of the topology of a set of cosmologically
interesting 3D Gaussian random fields in terms of their Betti numbers β0, β1, and β2. We …

The formalism to compute the geometrical and topological one-point statistics of mildly non-
Gaussian two-dimensional and three-dimensional (3D) cosmological fields is developed …

In support of the new III survey, which will measure the baryon oscillation scale using the
luminous red galaxies (LRGs), we have run the largest N-body simulation to date using …

We present the results of a study of the morphology and galaxy content of the Sloan Great
Wall (SGW), the richest galaxy system in the nearby universe. We use the luminosity density …

These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the
authors' 2007 Springer monograph “Random Fields and Geometry.” While not as exhaustive …

Context. The formation and evolution of the cosmic web is governed by the gravitational
attraction of dark matter and antigravity of dark energy (cosmological constant). In the cosmic …