Smooth halos in the cosmic web
  Dark matter halos can be defined as smooth distributions of dark matter
placed in a non-smooth cosmic web structure. This definition of halos demands a
precise definition of smoothness and a characterization of the manner in which
the transition from smooth halos to the cosmic web takes place. We introduce
entropic measures of smoothness, related to measures of inequality previously
used in economy and with the advantage of being connected with standard methods
of multifractal analysis already used for characterizing the cosmic web
structure in cold dark matter N-body simulations. These entropic measures
provide us with a quantitative description of the transition from the small
scales portrayed as a distribution of halos to the larger scales portrayed as a
cosmic web and, therefore, allow us to assign definite sizes to halos. However,
these "smoothness sizes" have no direct relation to the virial radii. Finally,
we discuss the influence of N-body discreteness parameters on smoothness.
