arXiv:math/0611235 Abstract

arXiv:math/0611235 [math.DS]Abstract References Reviews Resources

A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces

Published 2006-11-08, updated 2007-10-11Version 2

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.

Categories: math.DS, math.PR

Subjects: 37D40, 58J65

Keywords: hyperbolic riemann surfaces, harmonic measures, characterization, compact non-singular lamination, unit tangent bundle

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