Feynman–Kac perturbation of C* quantum stochastic flows

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dc.check.date2025-07-06en
dc.check.infoAccess to this article is restricted until 12 months after publication by request of the publisheren
dc.contributor.authorBelton, Alexander C. R.en
dc.contributor.authorWills, Stephen J.en
dc.date.accessioned2024-08-01T10:25:53Z
dc.date.available2024-08-01T10:25:53Z
dc.date.issued2024-07-06en
dc.description.abstractThe method of Feynman–Kac perturbation of quantum stochastic processes has a long pedigree, with the theory usually developed within the framework of processes on von Neumann algebras. In this work, the theory of operator spaces is exploited to enable a broadening of the scope to flows on C* algebras. Although the hypotheses that need to be verified in this general setting may seem numerous, we provide auxiliary results that enable this to be simplified in many of the cases which arise in practice. A wide variety of examples is provided by way of illustration.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBelton, A.C.R., Wills, S.J. (2024) 'Feynman–Kac perturbation of C* quantum stochastic flows', Indian Journal of Pure and Applied Mathematics, 55, pp. 1062-1083. https://doi.org/10.1007/s13226-024-00648-7en
dc.identifier.doihttps://doi.org/10.1007/s13226-024-00648-7en
dc.identifier.eissn0975-7465en
dc.identifier.endpage1083
dc.identifier.issn0019-5588en
dc.identifier.journaltitleIndian Journal of Pure and Applied Mathematicsen
dc.identifier.startpage1062
dc.identifier.urihttps://hdl.handle.net/10468/16175
dc.identifier.volume55
dc.language.isoenen
dc.publisherSpringer Natureen
dc.rights© 2024, The Indian National Science Academy. Published by Springer Nature Limited. This is a post-peer-review, pre-copyedit version of an article published in the Indian Journal of Pure and Applied Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s13226-024-00648-7en
dc.subjectMarkovian cocycleen
dc.subjectQuantum stochastic differential equationen
dc.subjectMultiplier equationen
dc.subjectQuantum exclusion processen
dc.subjectFlows on universal C* algebrasen
dc.titleFeynman–Kac perturbation of C* quantum stochastic flowsen
dc.typeArticle (peer-reviewed)en
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