Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
65
From page
206
To page
270
Abstract
In this paper, we construct a finite dimensional approximation for the geometry on the path space over a compact Riemannian manifold. This approximation allows to construct the horizontal lift of the Ornstein–Uhlenbeck process on the path space through the Markovian connection. We also prove a representation formula for the heat semigroup on (adapted) vector fields as well as a commutation formula for its derivative.
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
709231
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