Finite dimensional approximation of Riemannian path space geometry.
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Publication:1421846
DOI10.1016/S0022-1236(02)00095-2zbMath1041.58013OpenAlexW2022179512MaRDI QIDQ1421846
Ana Bela Cruzeiro, Xicheng Zhang
Publication date: 3 February 2004
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00095-2
Ornstein-Uhlenbeck processheat semigroupintegration by partsMarkovian connectionhorizontal liftfinite dimensional approximationsinterwinning formula
Related Items (3)
An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space ⋮ Stochastic calculus of variations and Harnack inequality on Riemannian path spaces
Cites Work
- The Ornstein-Uhlenbeck process over the space of Riemannian paths and the martingale problem
- Large deviations and the Malliavin calculus
- De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
- Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
- L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel
- Introduction to the theory of (non-symmetric) Dirichlet forms
- A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
- On some estimates in quasi sure limit theorem for SDE's
- Finite dimensional approximations to Wiener measure and path integral formulas on manifolds
- Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
- \(L^ p\) contraction semigroups for vector valued functions
- Diffusions on path and loop spaces: existence, finite dimensional approximation and Hölder continuity
- A probabilistic Weitzenböck formula on Riemannian path space
- Frame bundle of Riemannian path space and Ricci tensor in adapted differential geometry
- Renormalized differential geometry on path space: Structural equation, curvature
- Projection of the infinitesimal generator of a diffusion
- Stochastic calculus of variations and Harnack inequality on Riemannian path spaces
- Twisted sheets
- Towards a Riemannian geometry on the path space over a Riemannian manifold
- On a Generalization of a Stochastic Integral
- Finite dimensional approximation of diffusion processes on infinite dimensional spaces
- Weak Levi-Civita connection for the damped metric on the Riemannian path space and vanishing of Ricci tensor in adapted differential geometry
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