Flows associated to Cameron-Martin type vector fields on path spaces over a Riemannian manifold

DOI10.1007/s10255-013-0245-zzbMath1405.58017OpenAlexW2109240723WikidataQ115384958 ScholiaQ115384958MaRDI QIDQ385182

Jing-Xiao Zhang

Publication date: 2 December 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0245-z

zbMATH Keywords

Riemannian manifoldpath spaceflowCameron-Martin type vector field

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

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• Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• The Lie bracket of adapted vector fields on Wiener spaces
• Flows associated to tangent processes on the Wiener space
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• A class of vector fields on path spaces
• Renormalized differential geometry on path space: Structural equation, curvature
• Towards a Riemannian geometry on the path space over a Riemannian manifold
• Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold
• Flows associated to adapted vector fields on the Wiener space

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