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

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.
Keywords : Curvature Laminations
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Article dans une revue
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, 36 (2), pp.355 - 374. 〈10.1017/etds.2014.59〉
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01413451
Contributeur : Imb - Université de Bourgogne <>
Soumis le : vendredi 9 décembre 2016 - 17:42:51
Dernière modification le : samedi 24 mars 2018 - 01:05:25

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

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