Measured foliations on nonorientable surfaces
Minimal sets of foliations on complex projective spaces
Mise en position optimale de tores par rapport à un flot d'Anosov.
Most automorphisms of a hyperbolic group have very simple dynamics
Multivalued Lyapunov functions for homeomorphisms of the 2-torus
Let F be a homeomorphism of 𝕋² = ℝ²/ℤ² isotopic to the identity and f a lift to the universal covering space ℝ². We suppose that κ ∈ H¹(𝕋²,ℝ) is a cohomology class which is positive on the rotation set of f. We prove the existence of a smooth Lyapunov function of f whose derivative lifts a non-vanishing smooth closed form on 𝕋² whose cohomology class is κ.