An explicit description of harmonic measure

DOI10.1007/BF02571241zbMath0687.53040MaRDI QIDQ1263099

Ursula Hamenstädt

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174174

zbMATH Keywords

harmonic measurestable foliationunit tangent bundle

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Central limit theorem of Brownian motions in pinched negative curvature ⋮ A Heat Kernel Characterization of Asymptotic Harmonicity ⋮ Harmonic measures for compact negatively curved manifolds ⋮ Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes ⋮ Local limit theorem in negative curvature ⋮ Logarithm laws for equilibrium states in negative curvature ⋮ Entropies for Negatively Curved Manifolds ⋮ Harmonic 1-forms on the stable foliation ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

Cites Work

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• Harmonic measures and Bowen-Margulis measures
• Positive harmonic functions on complete manifolds of negative curvature
• Geometry of horospheres
• Certain measures associated with U-flows on compact manifolds
• A new description of the Bowen—Margulis measure
• Differential equations on riemannian manifolds and their geometric applications
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds

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