SMOLYANOV–WEIZSÄCKER SURFACE MEASURES GENERATED BY DIFFUSIONS ON THE SET OF TRAJECTORIES IN RIEMANNIAN MANIFOLDS
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Publication:3520349
DOI10.1142/S0219025708002951zbMath1151.58020WikidataQ115245783 ScholiaQ115245783MaRDI QIDQ3520349
Publication date: 26 August 2008
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Diffusion processes and stochastic analysis on manifolds (58J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)
Related Items (7)
An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ Two types of surface measures on trajectories in Riemannian submanifolds of Euclidean spaces ⋮ LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS ⋮ LAGRANGIAN FEYNMAN FORMULAS FOR SECOND-ORDER PARABOLIC EQUATIONS IN BOUNDED AND UNBOUNDED DOMAINS ⋮ Feynman approximation to integrals with respect to Brownian sheet on Lie groups ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES ⋮ Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization
Cites Work
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- Integration on loop groups. I: Quasi invariant measures
- Finite dimensional approximations to Wiener measure and path integral formulas on manifolds
- The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold.
- SURFACE INTEGRALS IN A BANACH SPACE
- THE SMOLYANOV SURFACE MEASURE ON TRAJECTORIES IN A RIEMANNIAN MANIFOLD
- Fluctuations and Irreversible Processes
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