An extensive update to a classic text Stochastic geometry and spatial statistics play a
fundamental role in many modern branches of physics, materials sciences, engineering …

Spatial point processes are mathematical models used to describe and analyse the
geometrical structure of patterns formed by objects that are irregularly or randomly …

We present DisPerSE, a novel approach to the coherent multiscale identification of all types
of astrophysical structures, in particular the filaments, in the large-scale distribution of the …

The cosmic web is the largest scale manifestation of the anisotropic gravitational collapse of
matter. It represents the transitional stage between linear and non-linear structures and …

The main feature of the spatial large-scale galaxy distribution is its intricate network of
galaxy filaments. This network is spanned by the galaxy locations that can be interpreted as …

We investigate the alignment of the spin of dark matter haloes relative (i) to the surrounding
large-scale filamentary structure, and (ii) to the tidal tensor eigenvectors using the Horizon …

The recently introduced discrete persistent structure extractor (DisPerSE, Sousbie, Paper I)
is implemented on realistic 3D cosmological simulations and observed redshift catalogues; it …

We introduce the NEXUS algorithm for the identification of cosmic web environments:
clusters, filaments, walls and voids. This is a multiscale and automatic morphological …

We analyse the structure and connectivity of the distinct morphologies that define the cosmic
web. With the help of our multiscale morphology filter (MMF), we dissect the matter …

The MMF technique is used to segment the cosmic web as seen in a cosmological N-body
simulation into wall-like and filament-like structures. We find that the spins and shapes of …