Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature

DOI10.4171/RMI/150zbMath0804.58056MaRDI QIDQ1325218

Alano Ancona

Publication date: 12 January 1995

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39456

zbMATH Keywords

Brownian motionRiemannian manifoldsbehaviour at infinity

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Harmonic maps, etc. (58E20)

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Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds ⋮ Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature ⋮ A Survey of Complex Hyperbolic Kleinian Groups ⋮ Dirichlet problem at infinity for \(\mathcal A\) -harmonic functions ⋮ Martin compactification of a complete surface with negative curvature ⋮ On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold ⋮ Weak topology on CAT(0) spaces ⋮ Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds ⋮ Brownian motion and Dirichlet problems at infinity ⋮ Convexity at infinity and bounded harmonic functions ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Some results on the convex hull of finitely many convex sets ⋮ Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces ⋮ Brownian motion and the Dirichlet problem at infinity on two-dimensional Cartan-Hadamard manifolds ⋮ Geometric and Martin boundaries of a Cartan-Hadamard surface ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation ⋮ Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems ⋮ The nonsolvability of the Dirichlet problem on negatively curved manifolds ⋮ Relativistic diffusion in Gödel's universe

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