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arXiv · 1311.3267

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

Sébastien Alvarez
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Abstract

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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Sébastien Alvarez. 2013-11-13. Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves. https://doi.org/10.1017/etds.2014.59

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