Weak convergence of laws of stochastic processes on Riemannian manifolds

DOI10.1007/s004400000093zbMath0983.58017MaRDI QIDQ5936993

Yukio Ogura

Publication date: 14 April 2002

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Skorokhod topologyDirichlet formconvergence of manifoldssymmetric continuous diffusions

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Functional limit theorems; invariance principles (60F17)

Related Items

Convergence of Riemannian manifolds and Laplace operators. I ⋮ Spectral convergence of Riemannian manifolds ⋮ Limits of random differential equations on manifolds ⋮ Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance ⋮ Convergence of Riemannian manifolds and Laplace operators. II ⋮ Convergence of Brownian motions on metric measure spaces under Riemannian curvature-dimension conditions