How to differentiate a quantum stochastic cocycle.

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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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: Journal Article
Journal or Publication Title: Communications on Stochastic Analysis
Additional Information: 17 pages, as preprint
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
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: 23 Feb 2020 01:21

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