Non-commutative Markov chains and multi-analytic operators

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dc.contributor.author	Gohm, Rolf
dc.date.accessioned	2010-01-11T18:34:59Z
dc.date.available	2010-01-11T18:34:59Z
dc.date.issued	2010-04-01
dc.identifier.citation	Gohm , R 2010 , ' Non-commutative Markov chains and multi-analytic operators ' Journal of Mathematical Analysis and Applications , vol 364 , no. 1 , pp. 275-288 .	en
dc.identifier.other	PURE: 143090
dc.identifier.other	dspace: 2160/3976
dc.identifier.uri	http://hdl.handle.net/2160/3976
dc.identifier.uri	http://arxiv.org/abs/0902.3445	en
dc.description	Journal of Mathematical Analysis and Applications, Volume 364, Issue 1, 1 April 2010, Pages 275-288	en
dc.description.abstract	We study a model of repeated interaction between quantum systems which can be thought of as a non-commutative Markov chain. It is shown that there exists an outgoing Cuntz scattering system associated to this model which induces an input–output formalism with a transfer function corresponding to a multi-analytic operator, in the sense of multivariate operator theory. Finally we show that observability for this system is closely related to the scattering theory of non-commutative Markov chains.	en
dc.format.extent	14	en
dc.language.iso	eng
dc.relation.ispartof	Journal of Mathematical Analysis and Applications	en
dc.title	Non-commutative Markov chains and multi-analytic operators	en
dc.type	Text	en
dc.type.publicationtype	Article (Journal)	en
dc.contributor.institution	Institute of Mathematics & Physics (ADT)	en
dc.contributor.institution	Mathematics and Physics	en
dc.description.status	Peer reviewed	en