Equidistribution of small points of the p-adic topology

Abstract.

In their proof of Bogomolov's conjecture, Ullmo and Zhang
made use of the remarkable fact that algebraic points of small
height on an abelian variety are equidistributed for the
complex topology.
In my talk, I will first recall these results and then
describe analogous theorems for the p-adic topology,
where analytic spaces introduced by V. Berkovich play a crucial rC4le.