Now showing items 1-19 of 19

• #### 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 $\Gamma \setminus Spin(2m)/Spin(2m-1)$ and exploiting the representation ...
• #### 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 $X$.
• #### Central Limit Theorems for the Radial Spanning Tree ﻿

[OWP-2014-18] (Mathematisches Forschungsinstitut Oberwolfach, 2014)
Consider a homogeneous Poisson point process in a compact convex set in d-dimensional Euclidean space which has interior points and contains the origin. The radial spanning tree is constructed by connecting each point of ...
• #### A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem ﻿

[OWP-2014-17] (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 o-symmetric convex body whose only ...
• #### Cocharacter-Closure and the Rational Hilbert-Mumford Theorem ﻿

[OWP-2014-16] (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)
For a field $k$, let $G$ be a reductive $k$-group and $V$ an affine $k$-variety on which $G$ acts. Using the notion of cocharacter-closed $G(k)$-orbits in $V$ , we prove a rational version of the celebrated Hilbert-Mumford ...
• #### Nonlinear Multi-Parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics ﻿

[OWP-2014-15] (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)
We investigate a generalization of one-parameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral ...
• #### Abundance of 3-Planes on Real Projective Hypersurfaces ﻿

[OWP-2014-14] (Mathematisches Forschungsinstitut Oberwolfach, 2014-11-11)
We show that a generic real projective n-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}{3}$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of ...
• #### Equidistribution of Elements of Norm 1 in Cyclic Extensions ﻿

[OWP-2014-14] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1+r_2-1$ where $r_1$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois ...
• #### Random dynamics of transcendental functions ﻿

[OWP-2014-12] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
This work concerns random dynamics of hyperbolic entire and meromorphic functions of finite order and whose derivative satisfies some growth condition at infinity. This class contains most of the classical families of ...
• #### Generalized Killing spinors and Lagrangian graphs ﻿

[OWP-2014-11] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
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 $\mathbb{S}^3$. ...
• #### Observability of systems with delay convoluted observation ﻿

[OWP-2014-10] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
This paper analyzes finite dimensional linear time-invariant systems with observation of a delay, where that delay satisfies a particular implicit relation with the state variables, rendering the entire problem nonlinear. ...
• #### Square wave periodic solutions of a differential delay equation ﻿

[OWP-2014-09] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t-1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ...
• #### Spectral triples and finite summability on Cuntz-Krieger algebras ﻿

[OWP-2014-03] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as "the algebra of functions on a non-commutative space" coming from a sub shift ...
• #### On periodic solutions and global dynamics in a periodic differential delay equation ﻿

[OWP-2014-08] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)