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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2016

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

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Résumé

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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Dates et versions

hal-01413451 , version 1 (09-12-2016)

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Sébastien Alvarez. Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves. Ergodic Theory and Dynamical Systems, 2016, 36 (2), pp.355 - 374. ⟨10.1017/etds.2014.59⟩. ⟨hal-01413451⟩
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