Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
arXiv:1311.3267 · doi:10.1017/etds.2014.59
Abstract
In this paper we define a notion of Gibbs measure for the geodesic flow tangent to a foliation with negatively curved leaves and associated to a particular potential H. We prove that there is a canonical bijective correspondence between these measures and Garnett's harmonic measures.
Final version, to appear in Ergodic Theory and Dynamical Systems