Browsing 2014 by MFO Scientific Program "Research in Pairs 2013"

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    • Equidistribution of Elements of Norm 1 in Cyclic Extensions 

      [OWP-2014-13] Petersen, Kathleen L.; Sinclair, Christopher D. (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
      Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1+r_2-1$ where $r_1$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois ...

    • Observability of systems with delay convoluted observation 

      [OWP-2014-10] Verriest, Erik I.; Ivanov, Anatoli F. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      This paper analyzes finite dimensional linear time-invariant systems with observation of a delay, where that delay satisfies a particular implicit relation with the state variables, rendering the entire problem nonlinear. ...

    • On periodic solutions and global dynamics in a periodic differential delay equation 

      [OWP-2014-08] Ivanov, Anatoli F.; Trofimchuk, Sergei I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      Several aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([t-K]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot ...

    • On the prediction of stationary functional time series 

      [OWP-2014-06] Aue, Alexander; Dubart Norinho, Diogo; Hörmann, Siegfried (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
      This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their ...

    • Random dynamics of transcendental functions 

      [OWP-2014-12] Mayer, Volker; Urbański, Mariusz (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
      This work concerns random dynamics of hyperbolic entire and meromorphic functions of finite order and whose derivative satisfies some growth condition at infinity. This class contains most of the classical families of ...

    • Spectral triples and finite summability on Cuntz-Krieger algebras 

      [OWP-2014-03] Goffeng, Magnus; Mesland, Bram (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as "the algebra of functions on a non-commutative space" coming from a sub shift ...

    • Square wave periodic solutions of a differential delay equation 

      [OWP-2014-09] Ivanov, Anatoli F.; Verriest, Erik I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t-1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ...

    • Varieties of Invariant Subspaces Given by Littlewood-Richardson Tableaux 

      [OWP-2014-01] Kosakowska, Justyna; Schmidmeier, Markus (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
      Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ...

    • Weak Expansiveness for Actions of Sofic Groups 

      [OWP-2014-05] Chung, Nhan-Phu; Zhang, Guohua (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
      In this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each h-expansive action of sofic groups is asymptotically $h$-expansive. We show that ...