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

Published online by Cambridge University Press:  05 August 2014

SÉBASTIEN ALVAREZ
SÉBASTIEN ALVAREZ*
Affiliation:
Institut de Mathématiques de Bourgogne, CNRS-UMR 5584, Université de Bourgogne, 21078 Dijon Cedex, France email [email protected]
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 2 , April 2016 , pp. 355 - 374
Copyright
© Cambridge University Press, 2014 

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