A better proof of the Goldman-Parker conjecture.
A flat plane that is not the limit of periodic flat planes.
A model for the universal space for proper actions of a hyperbolic group.
A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space.
Actions de groupes sur les arbres
Amenable hyperbolic groups
We give a complete characterization of the locally compact groups that are non elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover give a description of all Gromov-hyperbolic locally compact groups with a cocompact amenable subgroup: modulo a compact normal subgroup, these turn out to be either rank one simple Lie groups, or automorphism groups of semiregular trees acting doubly...
An algebraic characterization of quasi-Möbius homeomorphisms. (Une caractérisation algébrique des homéomorphismes quasi-Möbius.)