  The Widom-Rowlinson model is an equilibrium model for point particles in
Euclidean space. It has a repulsive interaction between particles of different
colors, and shows a phase-transition at high intensity. Natural versions of the
model can moreover be formulated in different geometries: in particular as a
lattice system or a mean-field system. We will discuss recent results on
dynamical Gibbs-non Gibbs transitions in this context. Main issues will be the
possibility or impossibility of an immediate loss of the Gibbs property, and of
full-measure discontinuities of the time-evolved models.
