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Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space - MaRDI portal

Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space (Q707284)

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scientific article; zbMATH DE number 2132868
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Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space
scientific article; zbMATH DE number 2132868

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    Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space (English)
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    9 February 2005
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    The author considers \textit{J. R. Norris}' Brownian sheet on a manifold [J. Funct. Anal. 132, No. 2, 273--334 (1995; Zbl 0848.60055)], and interprets its construction in terms of some horizontal lift of an Ornstein-Uhlenbeck process on a path space.
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    Horizontal lift
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    Ornstein-Uhlenbeck process
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    Riemannian path space
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    Heat semigroup
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