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Neutral carbon and highly excited CO in a massive star-forming main sequence galaxy at z=2.2Jul 10 2019We used the Plateau De Bure Interferometer to observe multiple CO and neutral carbon transitions in a z=2.2 main sequence disk galaxy, BX610. Our observation of CO(7-6), CO(4-3), and both far-infrared(FIR) [CI] lines complements previous observations ... More

Polycyclic Aromatic Hydrocarbon and Mid-Infrared Continuum Emission in a z>4 Submillimeter GalaxyJun 21 2013Mar 28 2014We report the detection of 6.2um polycyclic aromatic hydrocarbon (PAH) and rest-frame 4-7um continuum emission in the z=4.055 submillimeter galaxy GN20, using the Infrared Spectrograph (IRS) on board the Spitzer Space Telescope. This represents the first ... More

Astro2020 Science White Paper: Exploration and characterization of the earliest epoch of galaxy formation: beyond the re-ionization eraJul 08 2019State-of-the-art rest-frame UV and FIR photometric and spectroscopic observations are now pushing the redshift frontiers of galaxy formation studies up to $z\sim9-11$ and beyond. Recent HST observations unveiled the presence of a star-forming galaxy exhibiting ... More

An ALMA survey of Sub-millimeter Galaxies in the Extended Chandra Deep Field South: Physical properties derived from ultraviolet-to-radio modellingApr 16 2015[abridged] The ALESS survey has followed-up a sample of 122 sub-millimeter sources in the Extended Chandra Deep Field South at 870um with ALMA, allowing to pinpoint the positions of sub-millimeter galaxies (SMGs) to 0.3'' and to find their precise counterparts ... More

The Atacama Large Aperture Submillimeter Telescope (AtLAST)Jul 10 2019The sub-mm sky is a unique window for probing the architecture of the Universe and structures within it. From the discovery of dusty sub-mm galaxies, to the ringed nature of protostellar disks, our understanding of the formation, destruction, and evolution ... More

Colour Deconfinement in Nuclear CollisionsJul 07 2000QCD predicts that strongly interacting matter will undergo a transition from a state of hadronic constituents to a plasma of unbound quarks and gluons. We first survey the conceptual features of this transition and its description in finite temperature ... More

Combinatorics of geometrically distributed random variables: New q-tangent and q-secant numbersOct 19 1999Up-down permutations are counted by tangent resp. secant numbers. Considering words instead, where the letters are produced by independent geometric distributions, there are several ways of introducing this concept; in the limit they all coincide with ... More

On Cantor's singular momentsApr 15 1999In problem 10621 of the American Mathematical Monthly the question was raised whether it is possible to explicitly compute Cantor's singular moment of order -1. This is answered in the affirmative.

Gauge-invariant theory of pion photoproduction with dressed hadronsSep 24 1997Based on an effective field theory of hadrons in which quantum chromodynamics is assumed to provide the necessary bare cutoff functions, a gauge-invariant theory of pion photoproduction with fully dressed nucleons is described. The formalism provides ... More

Survey of experimental dataFeb 06 2002>A review of meson emission in heavy ion collisions at incident energies from SIS up to collider energies is presented. A statistical model assuming chemical equilibrium and local strangeness conservation (i.e. strangeness conservation per collision) ... More

How short-ranged electrostatics controls the chromatin structure on much larger scalesOct 01 2001We propose that the degree of sweeling of the 30nm chromatin fiber (a "measure" of its transcriptional activity) is mainly determined by the short-ranged electrostatical interaction between different sections of the "folded" DNA chain. These sections ... More

Colour deconfinement in hot and dense matterNov 19 1996We first introduce the conceptual basis of critical behaviour in strongly interacting matter, with colour deconfinement as QCD analog of the insulator-conductor transition and chiral symmetry restoration as special case of the associated shift in the ... More

Pion-Field Theoretical Description of the Delta^{++}(1236)-Resonance without QCDApr 15 2012Apr 17 2012Excited states of the nucleon were predicted by Wentzel already in 1940. Wentzel showed that such kind of states can be derived from models of meson field theory if they are treated above a certain coupling strength. In particular for a pseudo-scalar ... More

The States of Matter in QCDMar 16 2009Quantum chromodynamics predicts that the interaction between its fundamental constituents, quarks and gluons, can lead to different states of strongly interacting matter, dependent on its temperature and baryon density. We first survey the possible states ... More

A continued fraction expansion for a q-tangent function: An elementary proofMay 11 2008We prove a continued fraction expansion for a certain $q$-tangent function that was conjectured by the present writer, then proved by Fulmek, now in a completely elementary way.

Thermal Hadron Production by QCD Hawking RadiationDec 12 2006The QCD counterpart of Hawking radiation from black holes leads to thermal hadron production in high energy collisions, from $e^+e^-$ annihilation to heavy ion interactions. This hadronic radiation is formed by tunnelling through the event horizon of ... More

Upsilon DecaysJun 02 2006Bound upsilon states and their decays provide a unique laboratory for testing QCD, LQCD, and quarkonium potential models. I review recent results, some of which are significant improvements in precision over previous measurements and others are first-time ... More

On the non-linearity of the subsidiary systemsApr 26 2005In hyperbolic reductions of the Einstein equations the evolution of gauge conditions or constraint quantities is controlled by subsidiary systems. We point out a class of non-linearities in these systems which may have the potential of generating catastrophic ... More

Factorizations related to the reciprocal Pascal matrixFeb 23 2015The reciprocal Pascal matrix has entries $\binom{i+j}{j}^{-1}$. Explicit formullae for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, $q$-analogues are also presented.

Über die assoziierten Primideale der VervollständigungJun 20 2012Let $(R,\my)$ be a noetherian local ring and let $M$ be an $R$-module such that $\bigcap\limits_{n\geq 1} \my^n M=0.$ Let $\hat{M}$ be the completion of $M$. We show that Ass$(\hat{M})=$ Koatt$(M)$ holds in the following three cases: if $\dim(R)\leq 1,$ ... More

A lower bound for the ground state energy of a Schroedinger operator on a loopAug 11 2005Consider a one dimensional quantum mechanical particle described by the Schroedinger equation on a closed curve of length $2\pi$. Assume that the potential is given by the square of the curve's curvature. We show that in this case the energy of the particle ... More

\lim_{x\to 0}\frac{\sin x}{x}$ and the definition of $π$Feb 03 2013Leopold Vietoris and Guido Hoheisel showed how the existence of $\lim_{x\to 0}\frac{\sin x}{x}$ can be derived from the trigonometric addition formulas. In this article two new proofs for this result are given. In addition it is discussed how this limit ... More

Neighborhoods as Nuisance Parameters? Robustness vs. SemiparametricsDec 04 2014Deviations from the center within a robust neighborhood of a parametric model distribution may naturally be considered an infinite dimensional nuisance parameter. Thus, the semiparametric method may be tried, which is to compute the scores function for ... More

One-Sided Confidence About Functionals Over Tangent ConesDec 04 2014In the setup of i.i.d.~observations and a real valued differentiable functional~$T$, locally asymptotic upper bounds are derived for the power of one-sided tests (simple, versus large values of~$T$)and for the confidence probability of lower confidence ... More

Deconfinement and PercolationMay 22 1998Using percolation theory, we derive a conceptual definition of deconfinement in terms of cluster formation. The result is readily applicable to infinite volume equilibrium matter as well as to finite size pre-equilibrium systems in nuclear collisions. ... More

Refined Algebraic Quantization and Quantum Field Theory in Curved Space-TimeSep 08 1997Application of the so-called refined algebraic quantization scheme for constrained systems to the relativistic particle provides an inner product that defines a unique Fock representation for a scalar field in curved space-time. The construction can be ... More

QCD & QGP: A SummaryJun 12 1997Contents: 1. The Thermodynamics of Quarks and Gluons 2. Hard Probes: Colour Deconfinement 3. Electromagnetic Probes: Chiral Symmetry Restoration 4. Soft Probes: Equilibration and Expansion 5. Conclusions

Charged rosettes at high and low ionic strengthsAug 22 2002The complexation between a semiflexible polyelectrolyte and an oppositely charged macroion leads to a multitude of structures ranging from tight complexes with the chain wrapped around the macroion to open multileafed rosette-like complexes. Rosette structures, ... More

A Brief History of J/Psi SuppressionJun 09 1998Statistical QCD predicts that strongly interacting matter will become deconfined at high temperatures and/or densities. The aim of high energy nuclear collisions is to study the onset of deconfinement and the properties of deconfined media in the laboratory. ... More

Smooth non-zero rest-mass evolution across time-like infinityNov 04 2013Feb 19 2014It is shown that solutions to Einstein's field equations with positive cosmological constant can include non-zero rest-mass fields which coexist with and travel unimpeded across a smooth conformal boundary. This is exemplified by the coupled Einstein-massive-scalar ... More

Probing the States of Matter in QCDOct 04 2013The ultimate aim of high energy heavy ion collisions is to study quark deconfinement and the quark-gluon plasma predicted by quantum chromodynamics. This requires the identification of observables calculable in QCD and measurable in heavy ion collisions. ... More

Quark Matter and Nuclear Collisions: A Brief History of Strong Interaction ThermodynamicsJul 02 2012The past fifty years have seen the emergence of a new field of research in physics, the study of matter at extreme temperatures and densities. The theory of strong interactions, quantum chromodynamics (QCD), predicts that in this limit, matter will become ... More

Elementary evaluation of a determinant of Kirschenhofer and ThuswaldnerMar 25 2018A certain determinant is evaluated by guessing and computing the LU-decomposition.

Quadrature rules for $C^0$, $C^1$ splines, the real line, and the five (5) familiesJan 09 2018May 11 2018The five (5) families of quadrature rules with periods of one or two intervals for the real line and spline classes $C^0$, $C^1$ are presented. The formulae allow one to calculate the points or weights of these quadrature rules in a very simple manner ... More

A bijection between phylogenetic trees and plane oriented recursive treesSep 18 2017Phylogenetic trees are binary nonplanar trees with labelled leaves, and plane oriented recursive trees are planar trees with an increasing labelling. Both families are enumerated by double factorials. A bijection is constructed, using the respective representations ... More

The modulation of SiO maser polarization by Jovian planetsSep 01 2008May 06 2009Searching for planets in the atmosphere of AGB stars is difficult, due to confusion with the stellar wind and pulsations. The aim here is to provide a complementary strategy for planet search in such a dense environment. The polarization properties of ... More

Strong electron-phonon coupling of the Fe breathing mode of LaO_{1-x}F_xFeAsApr 01 2008Apr 11 2008The electron-phonon coupling of LaO$_{1-x}$F$_x$FeAs is re-investigated on the basis of density functional theory in local density approximation. The implications of the $(\pi,\pi)$ nesting of the Fermi surfaces are carefully studied and found to lead ... More

Initial boundary value problems for Einstein's field equations and geometric uniquenessMar 30 2009While there exist now formulations of initial boundary value problems for Einstein's field equations which are well posed and preserve constraints and gauge conditions, the question of geometric uniqueness remains unresolved. For two different approaches ... More

The Thermodynamics of Quarks and GluonsMar 11 2008This is an introduction to the study of strongly interacting matter. We survey its different possible states and discuss the transition from hadronic matter to a plasma of deconfined quarks and gluons. Following this, we summarize the results provided ... More

Eine Charakterisierung der Matlis-reflexiven ModulnJun 28 2013Let $(R,\my)$ be a noetherian local ring, $E$ the injective hull of $k=R/\my$ and $M^\circ=$ Hom$_R(M,E)$ the Matlis dual of the $R$-module $M$. If the canonical monomorphism $\varphi: M \to \moo$ is surjective, $M$ is known to be called (Matlis-)reflexive. ... More

Über die von einem Ideal $I \subset R$ erzeugten $R$-Moduln IIIApr 12 2018Let $(R, \mathfrak m)$ be a commutative noetherian local ring and $I$ an ideal of $R$. For every $R$-module $M$, $\gamma_I(M) = \sum\{ \operatorname{Bi} f \,|\, f \in \operatorname{Hom}_R(I,M)\}$ is called the trace of $I$ in $M$. It is easy to see that ... More

Sharp asymptotics for Einstein-$λ$-dust flowsJan 18 2016We consider the Einstein-dust equations with positive cosmological constant $\lambda$ on manifolds with time slices diffeomorphic to an orientable, compact 3-manifold $S$. It is shown that the set of standard Cauchy data for the Einstein-$\lambda$-dust ... More

Height restricted lattice paths, Elenas, and bijectionsJan 02 2016A bijection is constructed between two sets of height restricted lattice paths by means of translating them in two tree classe, namely plane trees and Elena trees. An old bijection between them can be used now for that actual problem.

Optimality conditions for disjunctive programs based on generalized differentiation with application to mathematical programs with equilibrium constraintsNov 24 2016We consider optimization problems with a disjunctive structure of the constraints. Prominent examples of such problems are mathematical programs with equilibrium constraints or vanishing constraints. Based on the concepts of directional subregularity ... More

The physics of chromatinMar 21 2003Recent progress has been made in the understanding of the physical properties of chromatin -- the dense complex of DNA and histone proteins that occupies the nuclei of plant and animal cells. Here I will focus on the two lowest levels of the hierarchy ... More

On a functional-difference equation of Runyon, Morrison, Carlitz, and RiordanMar 24 2001A certain functional-difference equation that Runyon encountered when analyzing a queuing system was solved in a combined effort of Morrison, Carlitz, and Riordan. We simplify that analysis by exclusively using generating functions, in particular the ... More

Can three-flavor oscillations solve the solar neutrino problem?Feb 06 2001The most promising solution to the solar neutrino problem are neutrino oscillations, which usually are analyzed within the reduced 2-flavor scheme, because the solutions found therein reasonably well reproduce the recent data of Super-Kamiokande about ... More

Einstein's equation and geometric asymptoticsApr 03 1998Apr 06 1998The intimate relations between Einstein's equation, conformal geometry, geometric asymptotics, and the idea of an isolated system in general relativity have been pointed out by Penrose many years ago. A detailed analysis of the interplay of conformal ... More

Smoothness at null infinity and the structure of initial dataApr 01 2003Mar 18 2004We describe our present understanding of the relations between the behaviour of asymptotically flat Cauchy data for Einstein's vacuum field equations near space-like infinity and the asymptotic behaviour of their evolution in time at null infinity.

The spectral energy distribution of Centaurus A (NGC 5128) - A summary of all observations including all GCRO results -May 28 2001Jun 01 2001Due to its proximity and its importance for the understanding of active galaxies and their active nuclei (AGN), Centaurus A has been observed frequently within the last 150 years in all accessible wavelength bands. Thus a wealth of data exists which has ... More

Pion photo- and electroproduction and the partially-conserved axial currentMay 07 2000Aug 23 2000The relevance of the axial current for pion production processes off the nucleon with real or virtual photons is revisited. Employing the hypothesis of a partially conserved axial current (PCAC), it is shown that, when all of the relevant contributions ... More

Measuring quadric sectors at centreJun 30 2010Jan 17 2016Sectors at centre of affine quadrics with point symmetry are investigated over arbitrary fields of characteristic different from two. As an application we demonstrate nice formulas for the area and the volume of such planar and spatial sectors, respectively, ... More

Charm and Charmonium Spectroscopy at the e+e- B-FactoriesMay 30 2006Jun 15 2006Over the past few years, there has been a lot of progress in the areas of charm and charmonium spectroscopy, in large part due to the very large data samples being accumulated at the e+e- B-Factories. In this presentation I will focus on results in three ... More

Representing derivatives of Chebyshev polynomials by Chebyshev polynomialsSep 07 2016A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula.

Quarkonium Binding and Entropic ForceJan 16 2015Jan 20 2015A Q-Qbar bound state represents a balance between repulsive kinetic and attractive potential energy. In a hot quark-gluon plasma, the interaction potential experiences medium effects. Color screening modifies the attractive binding force between the quarks, ... More

Logarithms of a binomial series: A Stirling number approachDec 31 2018The $p$-th power of the logarithm of the Catalan generating function is computed using the Stirling cycle numbers. Instead of Stirling numbers, one may write this generating function in terms of higher order harmonic numbers.

Electromagnetic currents for dressed hadronsDec 18 2018Jan 31 2019We propose an extension of the minimal-substitution prescription for coupling the electromagnetic field to hadronic systems with internal structure. The resulting rules of extended substitution necessarily distinguish between couplings to scalar and Dirac ... More

World Graph Formalism for Feynman AmplitudesApr 25 2007Aug 19 2008A unified treatment of Schwinger parametrised Feynman amplitudes is suggested which addresses vertices of arbitrary order on the same footing as propagators. Contributions from distinct diagrams are organised collectively. The scheme is based on the continuous ... More

Critical Behaviour in Statistical QCDSep 30 2005We survey the critical behaviour of strongly interacting matter, as determined in finite temperature lattice QCD.

On the final limit of a transition matrixDec 11 2018For a finite intensity matrix $B$ the final limit of its transition matrix $\exp(t B)$ exists. This is a well-known fact in the realm of continous-time Markov processes where it is proven by probability theoretic means. A simple proof is presented with ... More

Measuring quadric sectors at centreJun 30 2010Feb 18 2019Sectors at centre of affine quadrics with point symmetry are investigated over arbitrary fields of characteristic different from two. As an application we demonstrate nice formulas for the area and the volume of such planar and spatial sectors, respectively, ... More

Über die von einem Ideal $I \subset R$ erzeugten $R$-Moduln IIMay 09 2017Let $(R, \mathfrak m)$ be a commutative noetherian local ring and $I$ an ideal of $R$. Let $\mathcal{P}$ be the class of all $I$-generated $R$-modules $M$ (i.e. there is an epimorphism $I^{(\Lambda)} \twoheadrightarrow M$) and let $\mathcal{S}$ be the ... More

A new (?) continued fraction expansion for the reciprocal of a $q$-seriesJun 04 2008We prove a continued fraction expansion for the reciprocal of a certain $q$-series. All the specialists in the world are asked whether it is new or not.

Schur's old determinant proves a brand-new theorem of Garrett-Ismail-StantonApr 03 2000Garrett, Ismail, and Stanton gave a general formula that contains the Rogers-Ramanjuan identities as special cases. We show how easy this is when using a determinant that Schur introduced in 1917.

A q-analogue of a formula of Hernandez obtained by inverting a result of DilcherJul 06 1999We prove a q-analogue of the formula $ \sum_{1\le k\le n} \binom nk(-1)^{k-1}\sum_{1\le i_1\le i_2\le... \le i_m=k}\frac1{i_1i_2... i_m} = \sum_{1\le k\le n}\frac{1}{k^m} $ by inverting a formula due to Dilcher.

Measurements of CKM Elements and the Unitarity TriangleSep 29 2002In this presentation, I review the status of selected Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and their role in the Unitarity Triangle (UT). Since this conference concluded, many new results have been finalized and are included in the new world ... More

Colour Deconfinement and J/Psi Suppression in High Energy Nuclear CollisionsNov 11 19971. Introduction 2. Charmomium Dissociation and Colour Deconfinement 3. J/Psi Production in Nuclear Collisions 4. Anomalous J/Psi Suppression 5. Outlook and Summary

The SPS Heavy Ion ProgrammeMay 06 2004May 18 2004Statistical QCD predicts with increasing temperature a transition from hadronic matter to a plasma of deconfined quarks and gluons. The SPS Heavy Ion Programme was initiated to study this transition and the resulting quark-gluon plasma. After summarizing ... More

q-identities of Fu and Lascoux proved by the q-Rice formulaApr 10 2004Two recent $q$--identities of Fu and Lascoux are proved by the $q$--Rice formula.

Observer Created Violation of Bell's InequalitiesJan 05 2003Local systems may appear to violate Bell's inequalities if they are observed through suitable filters. The nonlocality leading to violation is outside the system and comprises the observer comparing the outcomes of the typical two wing Bell experiment. ... More

Conformal Einstein evolutionSep 06 2002We discuss various properties of the conformal field equations and their consequences for the asymptotic structure of space-times.

Review of SIS Experimental Results on StrangenessNov 09 2000>A review of meson emission in heavy ion collisions at incident energies around 1 -- 2 $A\cdot$GeV is presented. It is shown how the shape of the spectra and the various particle yields vary with system size, with centrality and with incident energy. ... More

Combinatorics of geometrically distributed random variables: Value and position of large left-to-right maximaSep 12 2000For words of length n, generated by independent geometric random variables, we consider the average value and the average position of the r-th left-to-right maximum counted from the right, for fixed r and n->oo. This complements previous research where ... More

Symmetric Matrices: Theory and ApplicationsAug 25 2014Dec 21 2015This text is a survey on symmetric matrices. It serves as a script for a module taught at university.

Gauge-invariant theory of pion photoproduction with dressed hadronsApr 24 1997Aug 18 1997Based on an effective field theory of hadrons in which quantum chromodynamics is assumed to provide the necessary bare cutoff functions, a gauge-invariant theory of pion photoproduction with fully dressed nucleons is developed. The formalism provides ... More

The Taylor expansion at past time-like infinityJun 24 2013We study the initial value problem for the conformal field equations with data given on a cone ${\cal N}_p$ with vertex $p$ so that in a suitable conformal extension the point $p$ will represent past time-like infinity $i^-$, the set ${\cal N}_p \setminus ... More

Considerations on Gravitational Effects Stimulated by Gravitational Fields via Classical Field TheoryOct 12 2013May 24 2015A mass distribution is analyzed in terms of classical gravitational field theory. Newton's law of gravitation is consistently applied on the assumption that the equivalence of energy and mass according to Einstein's theory of relativity is valid for gravitational ... More

A short and elementary proof for a double sum of Brent and OsburnSep 17 2013We present a short and completely elementary proof for a double sum studied by Brent and Osburn in arXiv:1309.2795v2.

Calibrating the In-Medium Behavior of QuarkoniaMar 14 2013Apr 12 2013Quarkonium production has been considered as a tool to study the medium formed in high energy nuclear collisions, assuming that the formation of a hot and dense environment modifies the production pattern observed in elementary collisions. The basic features ... More

An identity conjectured by Lacasse via the tree functionJan 16 2013A. Lacasse conjectured a combinatorial identity in his study of learning theory. Various people found independent proofs. Here is another one that is based on the study of the tree function, with links to Lamberts $W$-function and Ramanujan's $Q$-function. ... More

Conformal structures of static vacuum dataMar 28 2012Sep 25 2012In the Cauchy problem for asymptotically flat vacuum data the solution-jets along the cylinder at space-like infinity develop in general logarithmic singularities at the critical sets at which the cylinder touches future/past null infinity. The tendency ... More

T>0 ensemble state density functional theory revisitedFeb 23 2010A logical foundation of equilibrium state density functional theory in a Kohn-Sham type formulation is presented on the basis of Mermin's treatment of the grand canonical state. it is simpler and more satisfactory compared to the usual derivation of ground ... More

How Does the Brain Organize Information?Feb 19 2009Cognitive processes in the brain, like learning, formation of memory, recovery of memorized images, classification of objects have two features: First, there is no supervisor in the brain who controls these processes. Second there is a hugh number of ... More

An elementary proof of a series evaluation in terms of harmonic numbersMay 20 2008An elementary proof of an identity by Lyons, Paule and Riese is given. It is simpler than all the 3 published proofs.

Geometric Asymptotics and BeyondNov 14 2014We discuss some global and semi-global existence and stability results obtained with the use of the conformal field equations.

Families of conformally related asymptotically flat, static vacuum dataMar 07 2008Extending the results of an earlier article we give a complete description of the asymptotically flat, conformally non-flat, static vacuum data which admit non-trivial, asymptotically smooth conformal mappings onto other such data. These data form a 3-parameter ... More

Quarkonium Binding and Dissociation: The Spectral Analysis of the QGPSep 19 2006In statistical QCD, the thermal properties of the quark-gluon plasma can be determined by studying the in-medium behaviour of heavy quark bound states. The results can be applied to quarkonium production in high energy nuclear collisions, if these indeed ... More

Static vacuum solutions from convergent null data expansions at space-like infinityJun 30 2006We study formal expansions of asymptotically flat solutions to the static vacuum field equations which are determined by minimal sets of freely specifyable data referred to as `null data'. These are given by sequences of symmetric trace free tensors at ... More

Human proofs of identities by Osburn and SchneiderOct 02 2007Osburn and Schneider derived several combinatorial identities involving harmonic numbers using the computer programm Sigma. Here, they are derived by partial fraction decomposition and creative telescoping.

Lie algebras of small dimensionJan 17 2006We present a list of all isomorphism classes of nonsolvable Lie algebras of dimension less than 7 over a finite field.

Colour Deconfinement and Quarkonium BindingDec 16 2005Mar 02 2006At high temperatures, strongly interacting matter becomes a plasma of deconfined quarks and gluons. In statistical QCD, deconfinement and the properties of the resulting quark-gluon plasma can be investigated by studying the in-medium behaviour of heavy ... More

The impact of accurate distances to dwarf elliptical galaxies on cosmologyAug 26 2005The Surface Brightness Fluctuation method has been shown to be a powerful distance indicator for dwarf elliptical galaxies to very low surface brightness levels. It is applicable to stellar systems that are out of reach for classical indicators requiring ... More

Is general relativity `essentially understood' ?Aug 03 2005The content of Einstein's theory of gravitation is encoded in the properties of the solutions to his field equations. There has been obtained a wealth of information about these solutions in the ninety years the theory has been around. It led to the prediction ... More

Symmetric Matrices: Theory and ApplicationsAug 25 2014Mar 01 2019This text is a survey on symmetric matrices. It serves as a script for a module taught at university.

Über rein-wesentliche ErweiterungenMar 24 2014Let (R,m) be a noetherian local ring and let $\mathcal{C}$ be the class of all R-modules M which possess a reflexive submodule U such that M/U is finitely generated. For every R-module $M\in \mathcal{C}$ the canonical embedding $\varphi: M\to M^{oo}$ ... More

Model-independent form-factor constraints for electromagnetic spin-1 currentsMay 15 2019Using local gauge invariance in the form of the Ward--Takahashi identity (which provides an \emph{off-shell} constraint) and the fact that properly constructed current operators must be free of singularities, it is shown that the magnetic moment $\mu$ ... More

The LU-decomposition of Lehmer's tridiagonal matrixAug 23 2018The LU-decomposition of Lehmer's tridiagonal matrix is first guessed, then proved, which leads to an evaluation of the determinant.

On the final limit of a transition matrixDec 11 2018Apr 04 2019For a finite intensity matrix $B$ the final limit of its transition matrix $\exp(t B)$ exists. This is a well-known fact in the realm of continous-time Markov processes where it is proven by probability theoretic means. A simple proof is presented with ... More

On the AdS stability problemJan 28 2014We discuss the notion of stability and the choice of boundary conditions for AdS-type space-times and point out difficulties in the construction of Cauchy data which arise if reflective boundary conditions are imposed.