  We introduce a notion of super-potential for positive closed currents of
bidegree (p,p) on projective spaces. This gives a calculus on positive closed
currents of arbitrary bidegree. We define in particular the intersection of
such currents and the pull-back operator by meromorphic maps. One of the main
tools is the introduction of structural discs in the space of positive closed
currents which gives a "geometry" on that space. We apply the theory of
super-potentials to construct Green currents for rational maps and to study
equidistribution problems for holomorphic endomorphisms and for polynomial
automorphisms.
