no. 7
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, Tome 69 (2019) no. 7, pp. 2951-2971.

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

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

Publié le :
DOI : 10.5802/aif.3342
Classification : 53C43, 53C24, 53C35, 58E20
Keywords: Harmonic function, Harmonic measure, Green function, Hadamard manifold, Negative curvature
Mot 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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Benoist, Yves; Hulin, Dominique. Harmonic measures on negatively curved manifolds. Annales de l'Institut Fourier, Tome 69 (2019) no. 7, pp. 2951-2971. doi : 10.5802/aif.3342. https://aif.centre-mersenne.org/articles/10.5802/aif.3342/

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