  One of the open questions in the field of optical rogue waves is the
relevance of the number of spatial dimensions in which waves propagate. Here we
review recent results on extreme events obtained in 0, 1 and 2 spatial
dimensions in the specific context of forced oscillatory media. We show that
some dynamical scenarii can be relevant from 0 to 2D while others can take
place only in sufficiently large number of spatial dimensions.
