Browsing 1  Oberwolfach Preprints (OWP) by Title
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Deciding NonFreeness of Rational Möbius Groups
[OWP202207] (Mathematisches Forschungsinstitut Oberwolfach, 20220322)We explore a new computational approach to a classical problem: certifying nonfreeness of (2generator, parabolic) Möbius subgroups of SL(2, $\mathbb{Q}$). The main tools used are algorithms for Zariski dense groups and ... 
Definable orthogonality classes in accessible categories are small
[OWP201114] (Mathematisches Forschungsinstitut Oberwolfach, 20110515)We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary ... 
Deformation Classification of Real NonSingular Cubic Threefolds with a Marked Line
[OWP201802] (Mathematisches Forschungsinstitut Oberwolfach, 20180221)We prove that the space of pairs $(X,l)$ formed by a real nonsingular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations. ... 
A Deformed Quon Algebra
[OWP201811] (Mathematisches Forschungsinstitut Oberwolfach, 20180625)The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and ... 
Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps
[OWP201820] (Mathematisches Forschungsinstitut Oberwolfach, 20181008)Demailly's conjecture, which is a consequence of the GreenGriffithsLang 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)
[OWP201820.2] (Mathematisches Forschungsinstitut Oberwolfach, 20200123)Demailly's conjecture, which is a consequence of the GreenGriffthsLang 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
[OWP201726] (Mathematisches Forschungsinstitut Oberwolfach, 20171017)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 ... 
Diameter and Connectivity of Finite Simple Graphs II
[OWP202409] (Mathematisches Forschungsinstitut Oberwolfach, 20240905)Let $G$ be a finite simple noncomplete connected graph on $[n] = \{1, \ldots, n\}$ and $\kappa(G) \geq 1$ its vertex connectivity. Let $f(G)$ denote the number of free vertices of $G$ and $\mathrm{diam}(G)$ the diameter ... 
Diophantine Approximation in Metric Space
[OWP202107] (Mathematisches Forschungsinstitut Oberwolfach, 20210614)Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the ... 
Dirichlet Approximation and Universal Dirichlet
[OWP201612] (Mathematisches Forschungsinstitut Oberwolfach, 20160816)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 noncommutative integrability: the proof of a conjecture by M. Kontsevich
[OWP200924] (Mathematisches Forschungsinstitut Oberwolfach, 20090317)We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for noncommutative variables which, in the commutative case, reduce to rank two cluster algebras of affine type. The conjecture ... 
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 ... 
Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries
[OWP202210] (Mathematisches Forschungsinstitut Oberwolfach, 20220608)Discretization methods for differentialalgebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization ... 
Dominance and Transmissions in Supertropical Valuation Theory
[OWP201107] (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
[OWP200708] (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 ... 
Dynamics of Gravitational Collapse in the Axisymmetric EinsteinVlasov System
[OWP202022] (Mathematisches Forschungsinstitut Oberwolfach, 20201215)We numerically investigate the dynamcis near black hole formation of solutions to the EinsteinVlasov system in axisymmetry. Our results are obtained using a particleincell and finite difference code based on the (2+1)+1 ... 
Edifices: Buildinglike Spaces Associated to Linear Algebraic Groups; In memory of Jacques Tits
[OWP202304] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)Given a semisimple linear algebraic $k$group $G$, one has a spherical building $Δ_G$, and one can interpret the geometric realisation $Δ_G(\mathbb R)$ of $Δ_G$ in terms of cocharacters of $G$. The aim of this paper is to ... 
The Elser Nuclei Sum Revisited
[OWP202105] (Mathematisches Forschungsinstitut Oberwolfach, 20210316)Fix a finite undirected graph $\Gamma$ and a vertex $v$ of $\Gamma$. Let $E$ be the set of edges of $\Gamma$. We call a subset $F$ of $E$ $\textit{pandemic}$ if each edge of $\Gamma$ has at least one endpoint that can be ... 
Embedding Spaces of Split Links
[OWP202213] (Mathematisches Forschungsinstitut Oberwolfach, 20220801)We study the homotopy type of the space $\mathcal{E}(L)$ of unparametrised embeddings of a split link $L=L_1\sqcup \ldots \sqcup L_n$ in $\mathbb{R}^3$. Inspired by work of Brendle and Hatcher, we introduce a semisimplicial ... 
Enhanced Spatial SkinEffect for Free Vibrations of a Thick Cascade Junction with "Super Heavy" Concentrated Masses
[OWP201326] (Mathematisches Forschungsinstitut Oberwolfach, 20131213)The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ...