On the intersection number of the path of a diffusion and chains

DOI10.3792/pjaa.55.23zbMath0478.58031OpenAlexW2078745704MaRDI QIDQ1161193

Shojiro Manabe

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.23

zbMATH Keywords

Brownian motionpath of a diffusion on a manifoldstochastic version of the intersection numberwinding around a fixed point

Mathematics Subject Classification ID

Brownian motion (60J65) Degree, winding number (55M25) Diffusion processes (60J60) de Rham theory in global analysis (58A12) Diffusion processes and stochastic analysis on manifolds (58J65) Differential forms in global analysis (58A10)

Related Items (2)

Asymptotic windings of Brownian motion around the windings in a compact Riemannian variety of dimension 3 ⋮ Asymptotic singular windings of ergodic diffusions

Cites Work

• Integral of differential forms along the path of diffusion processes
• Potential operator of a recurrent strong Feller process in the strict sense and boundary value problem
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