  Equidistribution of the orbits of points, subvarieties or of periodic points
in complex dynamics is a fundamental problem. It is often related to strong
ergodic properties of the dynamical system and to a deep understanding of
analytic cycles, or more generally positive closed currents, of arbitrary
dimension and degree. The later topic includes the study of the potentials and
super-potentials of positive closed currents, their intersection with or
without dimension excess. In this paper, we will survey some results and tools
developed during the last two decades. Related concepts, new techniques and
open problems will be presented.
