A class of integration by parts formulae in stochastic analysis I
From MaRDI portal
Publication:5687093
zbMath0881.60052arXiv1911.09733MaRDI QIDQ5687093
Publication date: 26 January 1998
Full work available at URL: https://arxiv.org/abs/1911.09733
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic integrals (60H05)
Related Items
Admissible vector fields and related diffusions on infinite-dimensional manifolds ⋮ Analysis on free Riemannian path spaces ⋮ Stochastic anticipative calculus on the path space over a compact Riemannian manifold ⋮ Integration by parts for heat kernel measures revisited ⋮ Logarithmic heat kernel estimates without curvature restrictions ⋮ Absence of spectral gaps on a class of loop spaces ⋮ Differential structure and flow equations on rough path space ⋮ Stochastic heat equations for infinite strings with values in a manifold ⋮ A concrete estimate for the weak Poincaré inequality on loop space ⋮ Divergence theorems in path space ⋮ Heat equation derivative formulas for vector bundles ⋮ Integration by parts formula and logarithmic Sobolev inequality on the path space over loop groups ⋮ Finite dimensional approximations to Wiener measure and path integral formulas on manifolds