Stochastic analysis on product manifolds: Dirichlet operators on differential forms

DOI10.1006/jfan.2000.3629zbMath0970.58020OpenAlexW2070545787MaRDI QIDQ1585974

Alexei Daletskii, Sergio A. Albeverio, Yuri G. Kondratiev

Publication date: 10 October 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3629

zbMATH Keywords

Gibbs measuresDirichlet operatorsBochner Laplacianstochastic analysis on manifoldsde Rham Laplacian

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Infinite-dimensional manifolds (58B99)

Related Items (10)

The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold ⋮ \(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ Stochastic differential equations in a scale of Hilbert spaces. Global solutions ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Correlation at low temperature. I: Exponential decay ⋮ Stochastic differential equations on product loop manifolds. ⋮ Stochastic differential equations in a scale of Hilbert spaces ⋮ STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS ⋮ Stochastic equivariant cohomologies and cyclic cohomology

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