Unique Ergodicity of Harmonic Currents On Singular Foliations of {mathbb{P}^2}

Let F{mathcal{F}} be a holomorphic foliation of mathbbP²{mathbb{P}^2} by Riemann surfaces. Assume all the singular points of F{mathcal{F}} are hyperbolic. If F{mathcal{F}} has no algebraic leaf, then there is a unique positive harmonic (1, 1) current T of mass one, directed by F{mathcal{F}}. This implies strong ergodic properties for the foliation F{mathcal{F}}. We also study the harmonic flow associated to the current T.