Now showing items 1-19 of 19

• #### 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 ...
• #### 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 ...
• #### On the prediction of stationary functional time series ﻿

[OWP-2014-06] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their ...
• #### Holomorphic automorphic forms and cohomology ﻿

[OWP-2014-07] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ...
• #### Weak Expansiveness for Actions of Sofic Groups ﻿

[OWP-2014-05] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
In this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each h-expansive action of sofic groups is asymptotically $h$-expansive. We show that ...
• #### 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 $X$.
• #### Varieties of Invariant Subspaces Given by Littlewood-Richardson Tableaux ﻿

[OWP-2014-01] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ...
• #### 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 ...
• #### 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 ...
• #### 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. ...
• #### On periodic solutions and global dynamics in a periodic differential delay equation ﻿

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