Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
Vadim A. Kaimanovich (1994)
Journal für die reine und angewandte Mathematik
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Vadim A. Kaimanovich (1994)
Journal für die reine und angewandte Mathematik
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Vadim A. Kaimanovich (1990)
Annales de l'I.H.P. Physique théorique
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Ursula Hamenstädt (1994-1995)
Séminaire de théorie spectrale et géométrie
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François Ledrappier (2008)
Annales de l’institut Fourier
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We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
Marco Brunella (1994)
Annales de l'institut Fourier
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We prove that a foliation on with hyperbolic singularities and with “many" parabolic leaves (i.e. leaves without Green functions) is in fact a linear foliation. This is done in two steps: first we prove that there exists an algebraic leaf, using the technique of harmonic measures, then we show that the holonomy of this leaf is linearizable, from which the result follows easily.
Dennis Sullivan (1979)
Publications Mathématiques de l'IHÉS
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Nathanaël Enriquez, Jacques Franchi, Yves Le Jan (2001)
Séminaire de probabilités de Strasbourg
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