Harmonic measures on negatively curved manifolds

DOI10.5802/AIF.3342zbMath1454.53057OpenAlexW3037837606MaRDI QIDQ2213338

Yves Benoist, Dominique Hulin

Publication date: 30 November 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.3342

zbMATH Keywords

harmonic functionharmonic measureGreen functionnegative curvatureHadamard manifold

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35)

Related Items (6)

Central limit theorem of Brownian motions in pinched negative curvature ⋮ Harmonic quasi-isometric maps. III: Quotients of Hadamard manifolds ⋮ Restricted mean value property on Riemannian manifolds ⋮ Large deviations for random walks on Gromov-hyperbolic spaces ⋮ Harmonic quasi-isometric maps into Gromov hyperbolic \(\operatorname{CAT}(0)\)-spaces ⋮ Harmonic quasi-isometric maps. II: Negatively curved manifolds

Cites Work

• Unnamed Item
• Positive harmonic functions on complete manifolds of negative curvature
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• Complete manifolds with positive spectrum. II.
• Harmonic quasi-isometric maps between rank one symmetric spaces
• Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds
• Harmonic functions on complete riemannian manifolds

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