Browsing by MFO Scientific Program "Research in Pairs 2014"
Now showing items 117 of 17

Abundance of 3Planes on Real Projective Hypersurfaces
[OWP201414] (Mathematisches Forschungsinstitut Oberwolfach, 20141111)We show that a generic real projective ndimensional hypersurface of odd degree $d$, such that $4(n2)=\binom{d+3}{3}$, contains "many" real 3planes, namely, in the logarithmic scale their number has the same rate of ... 
Central Limit Theorems for the Radial Spanning Tree
[OWP201418] (Mathematisches Forschungsinstitut Oberwolfach, 2014)Consider a homogeneous Poisson point process in a compact convex set in ddimensional Euclidean space which has interior points and contains the origin. The radial spanning tree is constructed by connecting each point of ... 
Composition of Irreducible Morphisms in QuasiTubes
[OWP201503] (Mathematisches Forschungsinstitut Oberwolfach, 20150409)We study the composition of irreducible morphisms between indecomposable modules lying in quasitubes of the AuslanderReiten quivers of artin algebras $A$ in relation with the powers of the radical of their module category ... 
Discrete Translates in Lp (R)
[OWP201509] (Mathematisches Forschungsinstitut Oberwolfach, 20150618)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 ... 
A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem
[OWP201417] (Mathematisches Forschungsinstitut Oberwolfach, 2014)One of the most fruitful results from Minkowski’s geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an osymmetric convex body whose only ... 
Generalized Killing spinors and Lagrangian graphs
[OWP201411] (Mathematisches Forschungsinstitut Oberwolfach, 20140820)We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold $S^3 \times S^3$ and to great circle flows on $\mathbb{S}^3$. ... 
Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
[OWP201504] (Mathematisches Forschungsinstitut Oberwolfach, 20150518)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
[OWP201513] (Mathematisches Forschungsinstitut Oberwolfach, 20150731)We construct graphvalued 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 ... 
Holomorphic automorphic forms and cohomology
[OWP201407] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)We investigate the correspondence between holomorphic automorphic forms on the upper halfplane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ... 
Instability of point defects in a twodimensional nematic liquid crystal model
[OWP201505] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)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
[OWP201516] (Mathematisches Forschungsinstitut Oberwolfach, 20151118)The aim of the paper is to attach a noncommutative clusterlike structure to each marked surface $\Sigma$. This is a noncommutative algebra $\mathcal{A}_\Sigma$ generated by “noncommutative geodesics” between marked points ... 
Nonlinear MultiParameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics
[OWP201415] (Mathematisches Forschungsinstitut Oberwolfach, 20141220)We investigate a generalization of oneparameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral ... 
On densities of lattice arrangements intersecting every idimensional affine subspace
[OWP201608] (Mathematisches Forschungsinstitut Oberwolfach, 20160510)In 1978, Makai Jr. established a remarkable connection between the volumeproduct of a convex body, its maximal lattice packing density and the minimal density of a lattice arrangement of its polar body intersecting every ... 
Plethystic Vertex Operators and BosonFermion Correspondences
[OWP201611] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal ... 
Realizing Spaces as Classifying Spaces
[OWP201501] (Mathematisches Forschungsinstitut Oberwolfach, 20150410)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
[OWP201518] (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
[OWP201502] (Mathematisches Forschungsinstitut Oberwolfach, 20150410)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 ...