Browsing 1 - Oberwolfach Preprints (OWP) by MFO Scientific Program "OWLF 2013"
Now showing items 1-10 of 10
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The algebraic combinatorial approach for low-rank matrix completion
[OWP-2013-05] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)We propose an algebraic combinatorial framework for the problem of completing partially observed low-rank matrices. We show that the intrinsic properties of the problem, including which entries can be reconstructed, and ... -
Algebraic Matroids with Graph Symmetry
[OWP-2014-02] (Mathematisches Forschungsinstitut Oberwolfach, 2014)This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite and infinite matroids whose ground set have some canonical symmetry, for example row and column symmetry and transposition ... -
An Explicit Formula for the Dirac Multiplicities on Lens Spaces
[OWP-2014-19] (Mathematisches Forschungsinstitut Oberwolfach, 2014)We present a new description of the spectrum of the (spin-) Dirac operator D on lens spaces. Viewing a spin lens space L as a locally symmetric space Γ∖Spin(2m)/Spin(2m−1) and exploiting the representation ... -
Mesh Ratios for Best-Packing and Limits of Minimal Energy Configurations
[OWP-2013-13] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)For N-point best-packing configurations ωN on a compact metric space (A,ρ), we obtain estimates for the mesh-separation ratio γ(ρN,A), which is the quotient of the covering radius of ωN ... -
Obtaining Error-Minimizing Estimates and Universal Entry-Wise Error Bounds for Low-Rank Matrix Completion
[OWP-2013-12] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing ... -
On Concentrators and Related Approximation Constants
[OWP-2013-14] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)Pippenger ([Pip77]) showed the existence of (6m, 4m, 3m, 6)-concentrator for each positive integer m using a probabilistic method. We generalize his approach and prove existence of (6m, 4m, 3m, 5.05)-concentrator (which ... -
On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces
[OWP-2013-18] (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)Let Σg be a closed hyperbolic surface of genus g and let Ham(Σg) be the group of Hamiltonian diffeomorphisms of Σg. The most natural word metric on this group is the autonomous metric. It has ... -
Right Simple Singularities in Positive Characteristic
[OWP-2013-28] (Mathematisches Forschungsinstitut Oberwolfach, 2013)We classify isolated singularities f∈K[[x1,...,xn]], which are simple, i.e. have no moduli, w.r.t. right equivalence, where K is an algebraically closed field of characteristic p>0. For K=R or ... -
Spherical Actions on Flag Varieties
[OWP-2014-04] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)For every finite-dimensional vector space V and every V -flag variety X we list all connected reductive subgroups in GL(V) acting spherically on X. -
Supertropical Quadratic Forms I
[OWP-2013-27] (Mathematisches Forschungsinstitut Oberwolfach, 2013)We initiate the theory of a quadratic form q over a semiring R. As customary, one can write q(x+y)=q(x)+q(y)+b(x,y), where b is a companion bilinear form. But in contrast to the ring-theoretic case, the companion ...