Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups

DOI10.1214/aop/1008956690zbMath1018.60059OpenAlexW1482007403MaRDI QIDQ1872204

Bruce K. Driver, Vikram K. Srimurthy

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1008956690

zbMATH Keywords

heat kernel measuresloop groupsabsolute continuitypinned Wiener measure

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items

Hamilton-Jacobi semi-groups in infinite dimensional spaces, A Duistermaat-Heckman type formula for the based loop group, From the heat measure to the pinned Wiener measure on loop groups, Small-time Gaussian behavior of symmetric diffusion semigroups, Surface integrals in Riemannian spaces and Feynman formulas, The Taylor map on complex path groups, 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, Construction of Levi processes on path spaces of Lie groups, Riemannian distance, Rademacher theorem and transportation cost inequality on loop groups., Convergence of finite dimensional distributions of heat kernel measures on loop groups, Optimal transport maps on infinite dimensional spaces

Cites Work

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