Lindsay, J. Martin (2010) How to differentiate a quantum stochastic cocycle. Communications on Stochastic Analysis, 4 (4). pp. 641-660. ISSN 0973-9599
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Abstract
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator cocycles on a Hilbert space and shows how holomorphic assumptions yield cocycles enjoying an infinitesimal characterisation which goes beyond the scope of quantum stochastic differential equations.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Communications on Stochastic Analysis |
| Additional Information: | 17 pages, as preprint |
| Uncontrolled Keywords: | Noncommutative probability ; quantum stochastic cocycle ; E_0-semigroup ; CCR flow ; holomorphic semigroup. |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 34521 |
| Deposited By: | Professor J. Martin Lindsay |
| Deposited On: | 22 Nov 2010 09:22 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 17:38 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/34521 |
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