Nexus of the Cosmic Web
  One of the important unknowns of current cosmology concerns the effects of
the large scale distribution of matter on the formation and evolution of dark
matter haloes and galaxies. One main difficulty in answering this question lies
in the absence of a robust and natural way of identifying the large scale
environments and their characteristics. This work summarizes the NEXUS+
formalism which extends and improves our multiscale scale-space MMF method. The
new algorithm is very successful in tracing the Cosmic Web components, mainly
due to its novel filtering of the density in logarithmic space. The method, due
to its multiscale and hierarchical character, has the advantage of detecting
all the cosmic structures, either prominent or tenuous, without preference for
a certain size or shape. The resulting filamentary and wall networks can easily
be characterized by their direction, thickness, mass density and density
profile. These additional environmental properties allows to us to investigate
not only the effect of environment on haloes, but also how it correlates with
the environment characteristics.
