A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces
Dynamical Systems
2007-10-11 v2 Probability
Abstract
We prove that a probability measure on a compact non-singular lamination by hyperbolic Riemann surfaces is harmonic if and only if it is the projection of a measure on the unit tangent bundle such that it is invariant under both the geodesic and the horocycle flows.
Cite
@article{arxiv.math/0611235,
title = {A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces},
author = {Yuri Bakhtin and Matilde Martinez},
journal= {arXiv preprint arXiv:math/0611235},
year = {2007}
}