94 citations · 117 across the 2 of their papers we have counts for
6 papers
Non-Gaussian statistics of critical sets in 2 and 3D: Peaks, voids, saddles, genus and skeleton
Christophe Gay, Christophe Pichon, Dmitri Pogosyan
The formalism to compute the geometrical and topological one-point statistics of mildly non-Gaussian 2D and 3D cosmological fields is developed. Leveraging the isotropy of the targ…
Non Gaussian extrema counts for CMB maps
Dmitri Pogosyan, Christophe Pichon, Christophe Gay
In the context of the geometrical analysis of weakly non Gaussian CMB maps, the 2D differential extrema counts as functions of the excursion set threshold is derived from the full…
The Skeleton: Connecting Large Scale Structures to Galaxy Formation
Christophe Pichon, Christophe Gay, Dmitry Pogosyan +5
We report on two quantitative, morphological estimators of the filamentary structure of the Cosmic Web, the so-called global and local skeletons. The first, based on a global study…
On the filamentary environment of galaxies
C. Gay, C. Pichon, D. Le Borgne +3
The correlation between the large-scale distribution of galaxies and their spectroscopic properties at z=1.5 is investigated using the Horizon MareNostrum cosmological run. We have…
The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D
Dmitri Pogosyan, Christophe Gay, Christophe Pichon
The full moments expansion of the joint probability distribution of an isotropic random field, its gradient and invariants of the Hessian is presented in 2 and 3D. It allows for ex…
The Local Theory of the Cosmic Skeleton
D. Pogosyan, C. Pichon, C. Gay +4
The local theory of the critical lines of 2D and 3D Gaussian fields that underline the cosmic structures is presented. In the context of cosmological matter distribution the subset…