Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
Dynamical Systems
2019-02-20 v2
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.
Keywords
Cite
@article{arxiv.1311.3267,
title = {Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves},
author = {Sébastien Alvarez},
journal= {arXiv preprint arXiv:1311.3267},
year = {2019}
}
Comments
Final version, to appear in Ergodic Theory and Dynamical Systems