A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces

@article{Bakhtin2006ACO,
  title={A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces},
  author={Yuri Bakhtin and Matilde Mart{\'i}nez},
  journal={Annales De L Institut Henri Poincare-probabilites Et Statistiques},
  year={2006},
  volume={44},
  pages={1078-1089}
}
  • Yuri Bakhtin, M. Martínez
  • Published 8 November 2006
  • Mathematics
  • Annales De L Institut Henri Poincare-probabilites Et Statistiques
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. 
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