E-semigroups subordinate to CCR flows

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dc.contributor.authorWills, Stephen J.en
dc.date.accessioned2023-07-19T13:24:06Z
dc.date.available2023-07-19T13:24:06Z
dc.date.issued2010-01-12en
dc.description.abstractThe subordinate E-semigroups of a fixed E-semigroup α are in one-to-one correspondence with local projection-valued cocycles of α. For the CCR flow we characterise these cocycles in terms of their stochastic generators, that is, in terms of the coefficient driving the quantum stochastic differential equation of Hudson-Parthasarathy type that such cocycles necessarily satisfy. In addition various equivalence relations and order-type relations on E-semigroups are considered, and shown to work especially well in the case of those semigroups subordinate to the CCR flows by exploiting our characterisation.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid8en
dc.identifier.citationWills, S.J. (2010) ‘E-semigroups subordinate to CCR flows’, Communications on Stochastic Analysis, 4(4), pp. 579-592. https://doi.org/10.31390/cosa.4.4.08.en
dc.identifier.doi10.31390/cosa.4.4.08en
dc.identifier.endpage592en
dc.identifier.issn0973-9599en
dc.identifier.issued4en
dc.identifier.journaltitleCommunications on Stochastic Analysisen
dc.identifier.startpage579en
dc.identifier.urihttps://hdl.handle.net/10468/14752
dc.identifier.volume4en
dc.language.isoenen
dc.publisherSerial Publicationsen
dc.relation.uriCommunications on Stochastic Analysisen
dc.rights© 2010en
dc.subjectE-semigroupen
dc.subjectCocycleen
dc.subjectSubordinationen
dc.subjectQuantum stochastic differential equationen
dc.titleE-semigroups subordinate to CCR flowsen
dc.typeArticle (peer-reviewed)en
oaire.citation.issue4en
oaire.citation.volume4en
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