The limiting angle of certain riemannian brownian motions

DOI10.1002/cpa.3160380608zbMath0615.58044OpenAlexW2071492571WikidataQ115406200 ScholiaQ115406200MaRDI QIDQ4722899

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Publication date: 1985

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160380608

zbMATH Keywords

Dirichlet problemBrownian motion

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (12)

Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature ⋮ Stochastic differential geometry: An introduction ⋮ Martin compactification of a complete surface with negative curvature ⋮ The Dirichlet problem at infinity on Hadamard manifolds ⋮ New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds ⋮ Brownian motion and Dirichlet problems at infinity ⋮ Exit probability estimates for martingales in geodesic balls, using curvature ⋮ Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces ⋮ Liouville theorem and coupling on negatively curved Riemannian manifolds. ⋮ Limiting angle of Brownian motion in certain two-dimensional Cartan-Hadamard manifolds ⋮ The nonsolvability of the Dirichlet problem on negatively curved manifolds ⋮ Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds

Cites Work

• Function theory on manifolds which possess a pole
• Positive harmonic functions on complete manifolds of negative curvature
• Visibility manifolds

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