Cored density profiles in the DARKexp model
  The DARKexp model represents a novel and promising attempt to solve a long
standing problem of statistical mechanics, that of explaining from first
principles the quasi--stationary states at the end of the collisionless
gravitational collapse. The model, which yields good fits to observation and
simulation data on several scales, was originally conceived to provide a
theoretical basis for the $1/r$ cusp of the Navarro--Frenk--White profile. In
this note we show that it also allows for cored density profiles that, when
viewed in three dimensions, in the $r\to0$ limit have the conical shape
characteristic of the Burkert profile. It remains to be established whether
both cusps and cores, or only one of the two types, are allowed beyond the
asymptotic analysis of this work.
