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.
Unitary Actions of Levy Flows of Diffeomorphisms
β Scribed by D. Applebaum
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 399 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0047-259X
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β¦ Synopsis
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.
π SIMILAR VOLUMES
Let M be a smooth manifold and Diff 0 (M) the group of all smooth diffeomorphisms on M with compact support. Our main subject in this paper concerns the existence of certain quasi-invariant measures on groups of diffeomorphisms, and the denseness of C . -vectors for a given unitary representation U
## Abstract The method of coadjoint orbits is developed for the group of real analytic germs of diffeomorphisms Ο with Ο(0) = 0 and Οβ²(0) = 1. The form of all infinite dimensional coadjoint orbits is described. Classes __U__ of unitary representations are constructed. In the case __n__ = 2 these re