Geodesic
Harmonic measures on negatively curved manifolds
[Mesures harmoniques sur les variétés de courbure négative]
Benoist, Yves1 ; Hulin, Dominique1
1 CNRS & Université Paris-Sud 91405 Orsay (France)
Annales de l'Institut Fourier, Riemannian Geometry. Past, Present and Future an homage to Marcel Berger December 6–9, 2017, IHES, Bures-sur-Yvette, Tome 69 (2019) no. 7, pp. 2951-2971.

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We prove that the harmonic measures on the spheres of a pinched Hadamard manifold admit uniform upper and lower bounds.

Nous prouvons que les mesures harmoniques sur les sphères des variétés Hadamard pincées admettent des bornes supérieures et infériueures uniformes.

Publié le :
DOI : 10.5802/aif.3342
Classification : 53C43, 53C24, 53C35, 58E20
Keywords: Harmonic function, Harmonic measure, Green function, Hadamard manifold, Negative curvature
Mots-clés : Fonctions harmoniques, Mesure harmonique, Fonction de Green, Variétés de Hadamard, Courbure négative

Benoist, Yves 1 ; Hulin, Dominique 1

1 CNRS & Université Paris-Sud 91405 Orsay (France)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     journal = {Annales de l'Institut Fourier},
     pages = {2951--2971},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Benoist, Yves; Hulin, Dominique. Harmonic measures on negatively curved manifolds. Annales de l'Institut Fourier, Riemannian Geometry. Past, Present and Future an homage to Marcel Berger December 6–9, 2017, IHES, Bures-sur-Yvette, Tome 69 (2019) no. 7, pp. 2951-2971. doi : 10.5802/aif.3342. http://geodesic.mathdoc.fr/articles/10.5802/aif.3342/

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