A stochastic integral representation is obtained for unitary operators induced by a class of flows of diffeomorphisms of a smooth manifold which are driven by stochastic processes with stationary and independent increments. 1994 Academic Press, Inc.
✦ LIBER ✦
Stochastic Parallel Transport along Lévy Flows of Diffeomorphisms
✍ Scribed by David Applebaum; Serge Cohen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 198 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Intrinsic stochastic calculus on manifolds for processes with jumps is used to prove global existence, uniqueness, and isometry for parallel transport of tangent vectors along the paths induced by a stochastic flow of diffeomorphisms driven by a Levy process.
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