Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups

zbMath0865.60046arXiv1911.09739MaRDI QIDQ4717479

Yves Le Jan, Xue-Mei Li, K. David Elworthy

Publication date: 7 July 1997

Full work available at URL: https://arxiv.org/abs/1911.09739

zbMATH Keywords

stochastic flowsintegration by parts formulaequasi-invariance property of measures

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (5)

Admissible vector fields and related diffusions on infinite-dimensional manifolds ⋮ Itô maps and analysis on path spaces ⋮ Stochastic processes on geometric loop groups, diffeomorphism groups of connected manifolds, and associated unitary representations ⋮ An \(L^{2}\) theory for differential forms on path spaces. I ⋮ Finite dimensional approximations to Wiener measure and path integral formulas on manifolds

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