Finite dimensional approximation of Riemannian path space geometry.

DOI10.1016/S0022-1236(02)00095-2zbMath1041.58013OpenAlexW2022179512MaRDI QIDQ1421846

Ana Bela Cruzeiro, Xicheng Zhang

Publication date: 3 February 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00095-2

zbMATH Keywords

Ornstein-Uhlenbeck processheat semigroupintegration by partsMarkovian connectionhorizontal liftfinite dimensional approximationsinterwinning formula

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Manifolds of mappings (58D15)

Related Items (3)

An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space ⋮ Stochastic calculus of variations and Harnack inequality on Riemannian path spaces

Cites Work

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• \(L^ p\) contraction semigroups for vector valued functions
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• Weak Levi-Civita connection for the damped metric on the Riemannian path space and vanishing of Ricci tensor in adapted differential geometry
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