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arxiv: 1311.3267 · v2 · pith:6GYGLE77new · submitted 2013-11-13 · 🧮 math.DS

Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves

classification 🧮 math.DS
keywords measurescurvedflowgeodesicharmonicleavesnegativelyassociated
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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.

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