A class of processes on the path space over a compact Riemannian manifold with unbounded diffusion

DOI10.1090/S0002-9947-04-03439-7zbMath1052.60062OpenAlexW1533740400WikidataQ115289100 ScholiaQ115289100MaRDI QIDQ4813826

Jörg-Uwe Löbus

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03439-7

zbMATH Keywords

generatordiffusion processDirichlet formunbounded diffusioncarré-du-champ operatorlocal second momentpath space over a compact Riemannian manifold

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (7)

QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES ⋮ Infinite dimensional Ornstein-Uhlenbeck processes with unbounded diffusion - Approximation, quadratic variation, and Itô formula ⋮ Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms ⋮ Poincaré inequality on the path space of Poisson point processes ⋮ Quasi-regular Dirichlet forms on Riemannian path and loop spaces ⋮ Stochastic heat equations for infinite strings with values in a manifold ⋮ A class of infinite dimensional stochastic processes with unbounded diffusion

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