THE SMOLYANOV SURFACE MEASURE ON TRAJECTORIES IN A RIEMANNIAN MANIFOLD

DOI10.1142/S0219025704001712zbMath1058.58016WikidataQ115245785 ScholiaQ115245785MaRDI QIDQ4822549

Nadezda A. Sidorova

Publication date: 25 October 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldsstochastic analysis on manifoldssurface measuresBrownian Motion

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Convergence of probability measures (60B10)

Related Items (9)

Dynamics of particles with anisotropic mass depending on time and position ⋮ Function integrals corresponding to a solution of the Cauchy-Dirichlet problem for the heat equation in a domain of a Riemannian manifold ⋮ Chernoff's theorem and discrete time approximations of Brownian motion on manifolds ⋮ Unbounded random operators and Feynman formulae ⋮ SMOLYANOV–WEIZSÄCKER SURFACE MEASURES GENERATED BY DIFFUSIONS ON THE SET OF TRAJECTORIES IN RIEMANNIAN MANIFOLDS ⋮ Two types of surface measures on trajectories in Riemannian submanifolds of Euclidean spaces ⋮ Chernoff's theorem on one-parametric semigroups ⋮ Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES

Cites Work

• The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold.
• Brownian motion on an embedded manifold as the limit of Brownian motions with reflection in its tubular neighborhoods.
• SURFACE INTEGRALS IN A BANACH SPACE
• Realizing holonomic constraints in classical and quantum mechanics

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