Now showing items 69-88 of 345

• #### Enhanced Spatial Skin-Effect for Free Vibrations of a Thick Cascade Junction with "Super Heavy" Concentrated Masses ﻿

[OWP-2013-26] (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-13)
The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundary-value problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ...
• #### Epsilon-hypercyclic operators ﻿

[OWP-2008-19] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-19)
For each fixed number $\varepsilon$ in $(0, 1)$ we construct a bounded linear operator on the Banach space $\ell_1$ having a certain orbit which intersects every cone of aperture $\varepsilon$, but with every orbit avoiding ...
• #### 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 ...
• #### Euler Reflexion Formulas for Motivic Multiple Zeta Functions ﻿

[OWP-2015-17] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
We introduce a new notion of *-product of two integrable series with coeficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability and commuting with the limit of rational series. In the ...
• #### Even-homogeneous supermanifolds on the complex projective line ﻿

[OWP-2013-02] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)
The classification of even-homogeneous complex supermanifolds of dimension $1|m$, $m<=3$, on $\mathbb{CP}^1$ up to isomorphism is given. An explicit description of such supermanifolds in terms of local charts and coordinates ...
• #### Exact Rate of Convergence of k-Nearest-Neighbor Classification Rule ﻿

[OWP-2017-25] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-16)
A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the ...
• #### Exceptional Legendrian Torus Knots ﻿

[OWP-2018-04] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-21)
We present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning ...
• #### Experimenting with Symplectic Hypergeometric Monodromy Groups ﻿

[OWP-2019-15] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-22)
We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results ...
• #### Experimenting with Zariski Dense Subgroups ﻿

[OWP-2017-31] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-28)
We give a method to describe all congruence images of a finitely generated Zariski dense group $H\leq SL(n, \mathbb{R})$. The method is applied to obtain efficient algorithms for solving this problem in odd prime degree ...
• #### 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 ...
• #### An Extension Problem and Trace Hardy Inequality for the Sublaplacian on H-Type Groups ﻿

[OWP-2017-20] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-24)
In this paper we study the extension problem for the sublaplacian on a H-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian.
• #### Extremal configurations of polygonal linkages ﻿

[OWP-2011-24] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-22)
• #### Fibonacci-like unimodal inverse limit spaces ﻿

[OWP-2010-03] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-9)
We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allows us to introduce certain chains that enable a more detailed ...
• #### Finitary Proof Systems for Kozen's μ ﻿

[OWP-2016-26] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-30)
We present three finitary cut-free sequent calculi for the modal $μ$-calculus. Two of these derive annotated sequents in the style of Stirling’s ‘tableau proof system with names’ (2014) and feature special inferences that ...
• #### The First Hochschild Cohomology as a Lie Algebra ﻿

[OWP-2019-09] (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-16)
In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic. In particular, ...
• #### Formal adjoints of linear DAE operators and their role in optimal control ﻿

[OWP-2011-15] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-16)
For regular strangeness-free linear differential-algebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze ...
• #### Formal punctured ribbons and two-dimensional local fields ﻿

[OWP-2008-01] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-05)
We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence between formal ribbons on curves plus some ...
• #### The Fourier Transform on Harmonic Manifolds of Purely Exponential Volume Growth ﻿

[OWP-2019-12] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-08)
Let $X$ be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in particular all known examples of harmonic ...
• #### Fourier-Mukai transform on Weierstrass cubics and commuting differential operators ﻿

[OWP-2016-03] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
In this article, we describe the spectral sheaves of algebras of commuting differential operators of genus one and rank two with singular spectral curve, solving a problem posed by Previato and Wilson. We also classify all ...
• #### Freeness of Multi-Reflection Arrangements via Primitive Vector Fields ﻿

[OWP-2017-10] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-20)
In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We first generalize Terao's result to ...