Browsing 2015 by MFO Scientific Program "Research in Pairs 2014"

Now showing items 1-9 of 9

    • Composition of Irreducible Morphisms in Quasi-Tubes 

      [OWP-2015-03] Chaio, Claudia; Malicki, Piotr (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-09)
      We study the composition of irreducible morphisms between indecomposable modules lying in quasi-tubes of the Auslander-Reiten quivers of artin algebras $A$ in relation with the powers of the radical of their module category ...

    • Discrete Translates in Lp (R) 

      [OWP-2015-09] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2015-06-18)
      A set $\Lambda$ is called $p$-spectral if there is a function $g \in L^p (\mathbb{R})$ such that all $\Lambda$-translates $\{g(t-\lambda),\lambda \in \Lambda\}$ span $L^p(\mathbb{R})$. We prove that exponentially small ...

    • Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation 

      [OWP-2015-04] Genovese, Giuseppe; Lucatti, Renato; Valeri, Daniele (Mathematisches Forschungsinstitut Oberwolfach, 2015-05-18)
      We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite sequence of formal integrals of motion $\int ...

    • Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots 

      [OWP-2015-13] Kauffman, Louis H.; Manturov, Vassily Olegovich (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-31)
      We construct graph-valued analogues of the Kuperberg sl(3) and $G_2$ invariants for virtual knots. The restriction of the sl(3) and $G_2$ invariants for classical knots coincides with the usual Homflypt sl(3) invariant and ...

    • Instability of point defects in a two-dimensional nematic liquid crystal model 

      [OWP-2015-05] Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      We study a class of symmetric critical points in a variational 2$D$ Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3 \times 3$ matrices. These critical points play ...

    • Noncommutative Marked Surfaces 

      [OWP-2015-16] Berenstein, Arkady; Retakh, Vladimir (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
      The aim of the paper is to attach a noncommutative cluster-like structure to each marked surface $\Sigma$. This is a noncommutative algebra $\mathcal{A}_\Sigma$ generated by “noncommutative geodesics” between marked points ...

    • Realizing Spaces as Classifying Spaces 

      [OWP-2015-01] Lupton, Gregory; Smith, Samuel Bruce (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-10)
      Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational ...

    • Simulation of Multibody Systems with Servo Constraints through Optimal Control 

      [OWP-2015-18] Altmann, Robert; Heiland, Jan (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      We consider mechanical systems where the dynamics are partially constrained to prescribed trajectories. An example for such a system is a building crane with a load and the requirement that the load moves on a certain path. ...

    • Virtual Polytopes 

      [OWP-2015-02] Panina, Gaiane; Streinu, Ileana (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-10)
      Originating in diverse branches of mathematics, from polytope algebra and toric varieties to the theory of stressed graphs, virtual polytopes represent a natural algebraic generalization of convex polytopes. Introduced as ...