A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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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