Lancaster EPrints

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

[img]
Preview
PDF (HowToDiffForLancasterE-printsFinalVersion2010xi20.pdf)
Download (434Kb) | Preview

    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: 09 Oct 2013 13:14
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/34521

    Actions (login required)

    View Item