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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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 : mardi 13 décembre 2016 - 09:30:19

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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 (02), pp.355 - 374. <https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitleharmonic-measures-and-the-foliated-geodesic-flow-for-foliations-with-negatively-curved-leavesdiv/DB3F581E70FDD3C52F7CD9BF051CC6C7>. <10.1017/etds.2014.59>. <hal-01413451>

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