• 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 Λ is called p-spectral if there is a function gLp(R) such that all Λ-translates {g(tλ),λΛ} span Lp(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 G2 invariants for virtual knots. The restriction of the sl(3) and G2 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 2D Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless 3×3 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 Σ. This is a noncommutative algebra AΣ 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 ...