Browsing Mathematics and Physics by Author "Gohm, Rolf"

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Browsing Mathematics and Physics by Author "Gohm, Rolf"

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  • Dey, Santanu; Gohm, Rolf (2007-05-01)
    Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace for the adjoints. This extends a definition ...
  • Dey, Santanu; Gohm, Rolf (2011-10-31)
    We introduce characteristic functions for certain contractive liftings of row contractions. These are multi-analytic operators which classify the liftings up to unitary equivalence and provide a kind of functional model. ...
  • Gohm, Rolf; Skeide, M. (2005-06-02)
    We apply Hilbert module methods to show that normal completely positive maps admit weak tensor dilations. Appealing to a duality between weak tensor dilations and extensions of CP-maps, we get an existence proof for certain ...
  • Gough, John Edward; Gohm, Rolf; Yanagisawa, Masahiro (2008-12-08)
    The mathematical theory of quantum feedback networks has recently been developed [J. Gough and M. R. James, e-print arXiv:0804.3442v2] for general open quantum dynamical systems interacting with bosonic input fields. In ...
  • Gohm, Rolf; Köstler, Claus Michael (2009-07-01)
    We introduce `braidability' as a new symmetry for (infinite) sequences of noncommutative random variables related to representations of the braid group $B_\infty$. It provides an extension of exchangeability which is tied ...
  • Köstler, Claus Michael; Gohm, Rolf (2012-11-07)
    This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows to derive factorization properties from symmetries. ...
  • Gohm, Rolf (2010-04-01)
    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 ...
  • Kummerer, B.; Gohm, Rolf; Lang, T. (2006)
    We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out ...
  • Gohm, Rolf (2003)
    The probabilistic index of a completely positive map is defined in analogy with a formula of M. Pimsner and S. Popa for conditional expectations. As an application, we describe a new strategy for computing the Jones index ...
  • Gohm, Rolf (Springer Basel, 2012-11-07)
    To a pair of subspaces wandering with respect to a row isometry we associate a transfer function which in general is multi-Toeplitz and in interesting special cases is multi-analytic. Then we describe in an expository way ...

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