• Alternative iterative methods for nonexpansive mappings, rates of convergence and applications 

      [OWP-2009-19] Colao, Vittorio; Leuştean, Laurenţiu; López, Genaro; Martín Márquez, Victoria (Mathematisches Forschungsinstitut Oberwolfach, 2009)
      Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic ...
    • 0907b - Wave Motion 

      [OWR-2009-7] (2009) - (08 Feb - 14 Feb 2009)
      This workshop was devoted to recent progress in the mathematical study of water waves, with special emphasis on nonlinear phenomena. Both aspects related to the governing equations (free boundary Euler equations) as well ...
    • 0908a - Mini-Workshop: Category Theory and Related Fields: History and Prospects 

      [OWR-2009-8] (2009) - (15 Feb - 21 Feb 2009)
      The workshop concerned various topics in the history of category theory and related fields, paying attention to some extent also to open questions, present and possible future development.
    • On the non-analyticity locus of an arc-analytic function 

      [OWP-2009-03] Kurdyka, Krzysztof; Parusinski, Adam (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-21)
      A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear ...
    • Pointwise hyperbolicity implies uniform hyperbolicity 

      [OWP-2009-06] Hasselblatt, Boris; Pesin, Yakov B.; Schmeling, Jörg (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-23)
      We provide a general mechanism for obtaining uniform information from pointwise data. A sample result is that if a diffeomorphism of a compact Riemannian manifold has pointwise expanding and contracting continuous invariant ...
    • Singer quadrangles 

      [OWP-2009-07] Winter, Stefaan de; Shult, Ernest E.; Thas, Koen (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-01)
    • Classification of idempotent states on the compact quantum groups Uq(2), SUq(2) and SOq(3) 

      [OWP-2009-08] Franz, Uwe; Skalski, Adam; Tomatsu, Reiji (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-02)
      We give a simple characterisation of those idempotent states on compact quantum groups which arise as Haar states on quantum subgroups, show that all idempotent states on quantum groups $U_q(2)$, $SU_q(2)$, and $SO_q(3) ...
    • Stein's method for dependent random variables occuring in statistical mechanics 

      [OWP-2009-09] Eichelsbacher, Peter; Löwe, Matthias (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-03)
      We obtain rates of convergence in limit theorems of partial sums $S_n$ for certain sequences of dependent, identically distributed random variables, which arise naturally in statistical mechanics, in particular, in the ...
    • A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations 

      [OWP-2009-10] Kawohl, Bernhard; Kutev, Nickolai (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-04)
      We investigate sharp conditions for boundary and interior gradient estimates of continuous viscosity solutions to fully nonlinear, uniformly elliptic equations under Dirichlet boundary conditions. When these conditions are ...
    • Homological properties of piecewise hereditary algebras 

      [OWP-2009-11] Happel, Dieter; Zacharia, Dan (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)
      Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of ...
    • Simple graded commutative algebras 

      [OWP-2009-12] Morier-Genoud, Sophie; Ovsienko, Valentin (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-06)
      We study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian group $\Gamma$. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only ...
    • An introduction to heavy-tailed and sibexponential distributions 

      [OWP-2009-13] Foss, Sergey; Koršunov, Dmitrij; Zachary, Stan (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-07)
      This text studies heavy-tailed distributions in probability theory, and especially convolutions of such distributions. The mail goal is to provide a complete and comprehensive introduction to the theory of long-tailed ...
    • Tilting on non-commutative rational projective curves 

      [OWP-2009-14] Burban, Igor; Drozd, Jurij A. (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-08)
      In this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ...
    • On the geometry of the space of fibrations 

      [OWP-2009-15] Humilière, Vincent; Roy, Nicolas (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-09)
      We study geometrical aspects of the space of fibrations between two given manifolds $M$ and $B$, from the point of view of Fréchet geometry. As a first result, we show that any connected component of this space is the ...
    • Control of Volterra systems with scalar kernels 

      [OWP-2009-16] Haak, Bernhard Hermann; Jacob, Birgit (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-10)
      Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed and some examples are discussed.
    • Approximation of discrete functions and size of spectrum 

      [OWP-2009-17] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-11)
      Let $\Lambda \subset \mathbb{R}$ be a uniformly discrete sequence and $S \subset \mathbb{R}$ a compact set. We prove that if there exists a bounded sequence of functions in Paley-Wiener space $PW_s$, which approximates ...
    • The contact polytope of the leech lattice 

      [OWP-2009-18] Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-12)
      The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1, 197, 362, 269, 604, 214, 277, 200 ...
    • Simple vector bundles on plane degenerations of an elliptic curve 

      [OWP-2009-20] Bodnarchuk, Lesya; Drozd, Jurij A.; Greuel, Gert-Martin (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-13)
      In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on all reduced plane cubic curves. Our main ...
    • Positivity of the T-system cluster algebra 

      [OWP-2009-21] Di Francesco, Philippe; Kedem, Rinat (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-14)
      We give the path model solution for the cluster algebra variables of the $A_r$ T-system with generic boundary conditions. The solutions are partition functions of (strongly) non-intersecting paths on weighted graphs. The ...
    • On the distribution of a second class particle in the asymmetric simple exclusion process 

      [OWP-2009-22] Tracy, Craig A.; Widom, Harold (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-15)
      We give an exact expression for the distribution of the position $X(t)$ of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin ...