**Date & Time:** Thursday, August 5, 2010, 14:30-15:30

**Venue:** Ramanujan Hall

**Title:** Non-commutative Markov Chains and Multi-analytic Operators

**Speaker:**Rolf Gohm, Aberysthwyth University

**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 correspond-
ing 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.