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Vector fields on mapping spaces and related Dirichlet forms and diffusions

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Publication:1378321
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zbMath0893.31009MaRDI QIDQ1378321

K. David Elworthy, Zhi-Ming Ma

Publication date: 16 August 1998

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet formsdiffusion processesFinsler manifoldsCaratheodory metric


Mathematics Subject Classification ID

Dirichlet forms (31C25) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)


Related Items (6)

Admissible vector fields and related diffusions on infinite-dimensional manifolds ⋮ Itô maps and analysis on path spaces ⋮ Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms ⋮ An \(L^{2}\) theory for differential forms on path spaces. I ⋮ Functional inequality on path space over a non-compact Riemannian manifold ⋮ Stochastic Cohomology of the Frame Bundle of the Loop Space




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