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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: 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: 07 Jan 2015 15:40
    Identification Number:

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