Multiparameter Quantum Stochastic Processes

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    We extend the non-commutative constructions outlined in Ref.1–3 to the general
    n parameter case, these being integrals over an n - dimensional parameter
    space, employing martingales as integrand. We extend previous results in type
    one,1,4 type two1,5 stochastic integrals and introduce new integrals for the Clifford
    sheet. These stochastic integrals are orthogonal, centred L2 - martingales,
    obeying isometry properties. We develop the construction to consider general
    martingale representations for the Clifford sheet.
    Original languageEnglish
    Title of host publicationQuantum Probability and Related Topics
    Subtitle of host publicationProceedings of the 30th Conference (QP-PQ: Quantum Probability & White Noise Analysis)
    EditorsRolando Rebolledo, Miguel Orsz
    PublisherWorld Scientific Publishing
    Number of pages6
    ISBN (Electronic)978-981-4338-73-8
    ISBN (Print)978-981-4338-73-5
    Publication statusPublished - Jan 2011

    Publication series

    NameQuantum Probability and White Noise Analysis
    PublisherWorld Scientific


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