On the Conservativeness of the Brownian Motion on a Riemannian Manifold

DOI10.1112/blms/23.1.86zbMath0748.60070OpenAlexW1971144778WikidataQ115257600 ScholiaQ115257600MaRDI QIDQ3978867

Masayoshi Takeda

Publication date: 25 June 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/23.1.86

zbMATH Keywords

Brownian motioncomplete Riemannian manifold

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (10)

Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers ⋮ Absolute continuity of symmetric diffusions ⋮ On conservation of probability and the Feller property ⋮ Nonexplosion criteria for relativistic diffusions ⋮ Volume growth and escape rate of Brownian motion on a complete Riemannian manifold ⋮ Conservation property of symmetric jump processes ⋮ Conservativeness criteria for generalized Dirichlet forms ⋮ Volume growth and escape rate of symmetric diffusion processes ⋮ The limits of stochastic integrals of differential forms ⋮ Escape rate of symmetric jump-diffusion processes

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