Equivalence of heat kernel measure and pinned Wiener measure on loop groups

DOI10.1016/S0764-4442(00)01725-0zbMath0964.22009MaRDI QIDQ2704630

Shigeki Aida, Bruce K. Driver

Publication date: 7 March 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

loop groupsheat kernel measurecompact Lie groupspinned Wiener measure

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Related Items (9)

Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups ⋮ Stochastic differential equations on product loop manifolds. ⋮ From the heat measure to the pinned Wiener measure on loop groups ⋮ Small-time Gaussian behavior of symmetric diffusion semigroups ⋮ The existence of geodesics in Wasserstein spaces over path groups and loop groups ⋮ An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroups ⋮ Poincaré inequality for weighted first order Sobolev spaces on loop spaces ⋮ A Poincaré inequality on loop spaces ⋮ Convergence of finite dimensional distributions of heat kernel measures on loop groups

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