Browsing 1  Oberwolfach Preprints (OWP) by Title
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How Quantum Information Can Improve Social Welfare
[OWP202013] (Mathematisches Forschungsinstitut Oberwolfach, 20200716)In [2, 18, 5, 19, 4] it has been shown that quantum resources can allow us to achieve a family of equilibria that can have sometimes a better social welfare, while guaranteeing privacy. We use graph games to propose ... 
Hölder Continuity of the Spectra for Aperiodic Hamiltonians
[OWP201905] (Mathematisches Forschungsinstitut Oberwolfach, 20190226)We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, ... 
HölderDifferentiability of Gibbs Distribution Functions
[OWP200713] (Mathematisches Forschungsinstitut Oberwolfach, 20070329)In this paper we give nontrivial applications of the thermodynamic formalism to the theory of distribution functions of Gibbs measures (devil’s staircases) supported on limit sets of finitely generated conformal iterated ... 
Hutchinson's Intervals and Entire Functions from the LaguerrePólya Class
[OWP202219] (Mathematisches Forschungsinstitut Oberwolfach, 20221212)We find the intervals $[\alpha, \beta (\alpha)]$ such that if a univariate real polynomial or entire function $f(z) = a_0 + a_1 z + a_2 z^2 + \cdots $ with positive coefficients satisfy the conditions $ \frac{a_{k1}^2}{ ... 
Hypergroups and Twin Buildings, I
[OWP202310] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)We discuss a conjecture on thick twin buildings the verification of which is needed in order to show that thick twin buildings are mathematically equivalent to regular actions of certain twin Coxeter hypergroups. (A ... 
An Identification Therorem for PSU6(2) and its Automorphism Groups
[OWP201108] (Mathematisches Forschungsinstitut Oberwolfach, 20110510)We identify the groups PSU6(2), PSU6(2):2, PSU6(2):3 and Aut(PSU6(2)) from the structure of the centralizer of an element of order 3. 
The Index of Singular Zeros of Harmonic Mappings of AntiAnalytic Degree One
[OWP201703] (Mathematisches Forschungsinstitut Oberwolfach, 20170202)We study harmonic mappings of the form $f(z) = h(z)  \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ... 
An inductive approach to coxeter arrangements and solomon's descent algebra
[OWP201116] (Mathematisches Forschungsinstitut Oberwolfach, 20110517)In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional representations of centralizers, ... 
Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements
[OWP201714] (Mathematisches Forschungsinstitut Oberwolfach, 20170430)Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger ... 
Infeasibility certificates for linear matrix inequalities
[OWP201128] (Mathematisches Forschungsinstitut Oberwolfach, 20110525)Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ... 
The ingram conjecture
[OWP201002] (Mathematisches Forschungsinstitut Oberwolfach, 2010038)We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1,2] are nonhomeomorphic. Based on the structure obtained from the proof, we also ... 
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP201625] (Mathematisches Forschungsinstitut Oberwolfach, 20161221)For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$. 
Instability of point defects in a twodimensional nematic liquid crystal model
[OWP201505] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)We study a class of symmetric critical points in a variational 2$D$ Landau  de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3 \times 3$ matrices. These critical points play ... 
Interpolation in Bernstein and PaleyWiener Spaces
[OWP200804] (Mathematisches Forschungsinstitut Oberwolfach, 20080308)We construct closed sets S of arbitrarily small measure with the property: given any discrete set L, every lfunction on L can be interpolated by an Lfunction with spectrum on F. This should be contrasted against ... 
An introduction to heavytailed and sibexponential distributions
[OWP200913] (Mathematisches Forschungsinstitut Oberwolfach, 20090307)This text studies heavytailed distributions in probability theory, and especially convolutions of such distributions. The mail goal is to provide a complete and comprehensive introduction to the theory of longtailed ... 
Invariant Fourforms and Symmetric Pairs
[OWP201203] (Mathematisches Forschungsinstitut Oberwolfach, 20120424)We give criteria for real, complex and quaternionic representations to define $s$representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ... 
Invariants of Closed Braids via Counting Surfaces
[OWP201215] (Mathematisches Forschungsinstitut Oberwolfach, 2012)A Gauss diagram is a simple, combinatorial way to present a link. It is known that any Vassiliev invariant may be obtained from a Gauss diagram formula that involves counting subdiagrams of certain combinatorial types. In ... 
KTriviality, Oberwolfach randomness, and differentiability
[OWP201217] (Mathematisches Forschungsinstitut Oberwolfach, 20121221)We show that a MartinLof random set for which the effective version of the Lebesgue density theorem fails computes every $K$trivial set. Combined with a recent result by Day and Miller, this gives a positive solution to ... 
Killing Tensors on Tori
[OWP201620] (Mathematisches Forschungsinstitut Oberwolfach, 20161110)We show that Killing tensors on conformally at ndimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ... 
Ky Fan Theorem for Sphere Bundles
[OWP202403] (Mathematisches Forschungsinstitut Oberwolfach, 20240405)The classic Ky Fan theorem is a combinatorial equivalent of BorsukUlam theorem. It is a generalization and extension of Tucker’s lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings ...