Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers

DOI10.1007/BF01049807zbMath0864.58061arXiv1911.07881OpenAlexW2114780346MaRDI QIDQ1338324

Xue-Mei Li

Publication date: 6 July 1997

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07881

zbMATH Keywords

diffusioncompactificationBrownian motionRiemannian manifoldheat semigroupbehaviour at infinity

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) PDEs with randomness, stochastic partial differential equations (35R60) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary theory for Markov processes (60J50)

Related Items (5)

Random perturbation to the geodesic equation ⋮ Observability and nonlinear filtering ⋮ A necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations

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• Stochastic flows and the C₀-diffusion property
• On the Conservativeness of the Brownian Motion on a Riemannian Manifold
• Behavior of diffusion semi-groups at infinity

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