SOME FAMILIES OF q-VECTOR FIELDS ON PATH SPACES

DOI10.1142/S0219025703001213zbMath1073.58012arXiv1911.08239MaRDI QIDQ4661839

Xue-Mei Li, K. David Elworthy

Publication date: 30 March 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08239

zbMATH Keywords

heat equationMalliavin calculusdifferential formsRiemannian manifoldspath spaceBismut formulaintegration by parts

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic integrals (60H05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Manifolds of mappings (58D15)

Related Items (2)

Itô maps and analysis on path spaces ⋮ An \(L^{2}\) theory for differential forms on path spaces. I

Cites Work

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• Path integral formulae for heat kernels and their derivatives
• Formulae for the derivatives of heat semigroups
• De Rham-Hodge-Kodaira operator on loop groups
• On the geometry of diffusion operators and stochastic flows
• Bisimut type formulae for differential forms
• Heat equation derivative formulas for vector bundles

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