Now showing items 60-79 of 341

• #### Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps ﻿

[OWP-2018-20] (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-08)
Demailly's conjecture, which is a consequence of the Green-Griffiths-Lang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to ...
• #### Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps (Revised Edition) ﻿

[OWP-2018-20.2] (Mathematisches Forschungsinstitut Oberwolfach, 2020-01-23)
Demailly's conjecture, which is a consequence of the Green-Griffths-Lang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to ...
• #### Detecting Ineffective Features for Pattern Recognition ﻿

[OWP-2017-26] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-17)
For a binary classification problem, the hypothesis testing is studied, that a component of the observation vector is not effective, i.e., that component carries no information for the classification. We introduce nearest ...
• #### Dirichlet Approximation and Universal Dirichlet ﻿

[OWP-2016-12] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)
We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ...
• #### Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich ﻿

[OWP-2009-24] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-17)
We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for non-commutative variables which, in the commutative case, reduce to rank two cluster algebras of affine type. The conjecture ...
• #### Discrete Translates in Lp (R) ﻿

[OWP-2015-09] (Mathematisches Forschungsinstitut Oberwolfach, 2015-06-18)
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 ...
• #### Dominance and Transmissions in Supertropical Valuation Theory ﻿

[OWP-2011-07] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
This paper is a sequel of [IKR1], where we defined supervaluations on a commutative ring $R$ and studied a dominance relation $\Phi >= v$ between supervaluations $\varphi$ and $\upsilon$ on $R$, aiming at an enrichment of ...
• #### Drawing large pictures at random : Oberwolfach Lecture 2007 ﻿

[OWP-2007-08] (Mathematisches Forschungsinstitut Oberwolfach, 2007)
This lecture is of very introductory nature. The goal will be to describe specific concrete questions, and to use them as a tool to convey some general ideas. Let me therefore skip the general introduction and immediately ...
• #### 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)