Brownian motion and the heat semigroup on the path space of a compact Lie group

DOI10.2140/pjm.1993.161.233zbMath0788.60017OpenAlexW2078206486WikidataQ115230738 ScholiaQ115230738MaRDI QIDQ1318489

Jay B. Epperson, Terry Lohrenz

Publication date: 27 March 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.161.233

zbMATH Keywords

Brownian motioncompact connected Lie groupabstract Wiener space

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Construction of diffusions on current groups ⋮ HEAT KERNEL MEASURE ON LOOP AND PATH GROUPS ⋮ A Cameron-Martin Type Quasi-Invariance Theorem for Pinned Brownian Motion on a Compact Riemannian Manifold ⋮ Feynman approximation to integrals with respect to Brownian sheet on Lie groups

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