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Uncertainty Quantification for Geometry Deformations of Superconducting Cavities using Eigenvalue TrackingFeb 08 2018The electromagnetic field distribution as well as the resonating frequency of various modes in superconducting cavities are sensitive to small geometry deformations. The occurring variations are motivated by measurements of an available set of resonators ... More

A twisted Bass-Heller-Swan decomposition for the algebraic K-theory of additive categoriesSep 05 2013Jun 01 2015We prove a twisted Bass-Heller-Swan decomposition for both the connective and the non-connective K-theory spectrum of additive categories.

Non-connective K- and Nil-spectra of additive categorieMar 06 2013Sep 04 2013We present an elementary construction of the non-connective algebraic K-theory spectrum associated to an additive category following the contracted functor approach due to Bass. It comes with a universal property that easily allows us to identify it with ... More

Searching for New Physics with Flavor Violating ObservablesJun 04 2012In this talk, I review the status and prospects of several low energy flavor observables that are highly sensitive to New Physics effects. In particular I discuss the implications for possible New Physics in b --> s transitions coming from the recent ... More

Non-trivial self-concordances and a recent conjecture by BotvinnikDec 12 2012The goal of this note is to construct, on many manifolds, non-trivial concordances from the identity to itself. This produces counterexamples to a recent conjecture by Botvinnik.

Top Quark Cross-Section Measurements at the TevatronDec 02 2003Run II of the Tevatron collider at Fermilab is well under way and data samples larger than those of Run I are at hand. In this contribution I summarize the current status of cross-section measurements for top-quark pair production at the CDF and D0 experiments. ... More

A new numerical method to construct binary neutron star initial dataAug 05 2009We present a new numerical method for the generation of binary neutron star initial data using a method along the lines of the the Wilson-Mathews or the closely related conformal thin sandwich approach. Our method uses six different computational domains, ... More

Constructing quasi-equilibrium initial data for binary neutron stars with arbitrary spinsSep 24 2012Nov 04 2014In general neutron stars in binaries are spinning. Recently, a new quasi-equilibrium approximation that includes a rotational velocity piece for each star has been proposed to describe binary neutron stars with arbitrary rotation states in quasi-circular ... More

Comment on the paper "Electromagnetic Wave Dynamics in Matter-Wave Superradiant Scattering" by L. Deng, M.G. Payne, and E.W. HagleyOct 19 2010The paper by Deng et al. (Phys. Rev. Lett. 104, 050402 (2010)) presents an analytic theoretical description of matter-wave superradiance (Phys. Rev. Lett. 85, 4225-4228 (2000)) which claims to go beyond previous theoretical frameworks. I show here that ... More

Riemannian Manifolds with positive sectional curvatureOct 15 2012This is a survey of recent results on manifolds with positive curvature from a series of lecture given in Guanajuato, Mexico in 2010. It also contains some hitsorical comments.

Chiral gauge theories on the lattice without gauge fixing?Nov 30 1993We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking is not too ... More

Limiting soft particle production and QCDNov 10 2010We present some basic elements of the treatment of particle multiplicities in jets from high energy collisions within perturbative QCD. Then we discuss the universal features of the inclusive particle spectrum for the limiting case of momentum p\to 0 ... More

Scaling and scale breaking phenomena in QCD jetsNov 12 1996The perturbative QCD approach to multiparticle production assuming Local Parton Hadron Duality (LPHD) and some recent results are discussed. Finite asymptotic scaling limits are obtained for various observables, after an appropriate rescaling, in the ... More

UNIVERSAL PROPERTIES OF ANGULAR CORRELATIONS IN QCD JETSJan 16 1995Predictions for angular correlations between an arbitrary number of partons are derived in the high energy limit. The quantities considered depend on angles and primary energy through a single variable $\epsilon$ which implies certain scaling properties ... More

Predicting and generating time series by neural networks: An investigation using statistical physicsOct 23 2000An overview is given about the statistical physics of neural networks generating and analysing time series. Storage capacity, bit and sequence generation, prediction error, antipredictable sequences, interacting perceptrons and the application on the ... More

Theory of Interacting Neural NetworksApr 02 2002In this contribution we give an overview over recent work on the theory of interacting neural networks. The model is defined in Section 2. The typical teacher/student scenario is considered in Section 3. A static teacher network is presenting training ... More

On the Solvability of Magnetic Differential EquationsOct 14 2005The calculation of both resistive and ideal plasma equilibria amounts to solving a number of magnetic differential equations which are of the type $\vec {B}\cdot \nabla \Phi =s$. We apply the necessary and sufficient criterion for the existence of the ... More

Instantaneous Interaction between Charged ParticlesNov 19 2005Mar 20 2013The interaction between charged particles through quasi-static fields must occur instantaneously; otherwise a violation of the energy principle would occur. As a consequence, the instantaneous transmission of both energy and information over macroscopic ... More

Superconvergent Perturbation Method in Quantum MechanicsDec 30 1994An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schr\"odinger perturbation theory and yields expansions for eigenvalues and eigenvectors ... More

Quantum Averaging I: Poincaré--von Zeipel is Rayleigh--SchrödingerDec 30 1994An exact analogue of the method of averaging in classical mechanics is constructed for self--adjoint operators. It is shown to be completely equivalent to the usual Rayleigh--Schr\"odinger perturbation theory but gives the sums over intermediate states ... More

Jordan structures and non-associative geometryJun 11 2007In this survey paper we give an overview over constructions of geometries associated to Jordan structures (algebras, triple systems and pairs), featuring analogs of these constructions with the Lie functor on the one hand and with the approach of non-commutative ... More

Measurement of the CKM Matrix Elements |Vcb| and |Vub| at the B-factoriesJul 18 2006Recent results on inclusive and exclusive semileptonic B decays from B-factories are presented. The impact of these measurements on the determination of the CKM matrix elements |Vub| and |Vcb| is discussed.

2d quantum gravity with torsion, dilaton theory and black hole formationOct 06 2000Starting from the work of the author in 1990 with different collaborators, essential progress in 2d gravity theories has been made. Now all such theories (and not only certain special models) can be treated at the classical as well as at the quantum level. ... More

Conceptual Differential Calculus. I: First Order Local Linear AlgebraMar 16 2015Jul 23 2015We give a rigorous formulation of the intuitive idea that a differentiable map should be thesame thing as a locally, or infinitesimally, linear map: just as a linear map respects the operations of addition and multiplication by scalars ina vector space ... More

Twisting $L^2$-invariants with finite-dimensional representationsSep 30 2015Nov 18 2015We investigate how one can twist L^2-invariants such as L^2-Betti numbers and L^2-torsion with finite-dimensional representations. As a special case we assign to the universal covering of a finite connected CW-complex X together with an element phi in ... More

Weil Spaces and Weil-Lie GroupsFeb 11 2014We define Weil spaces, Weil manifolds, Weil varieties and Weil Lie groups over an arbitrary commutative base ring K (in particular, over discrete rings such as the integers), and we develop the basic theory of such spaces, leading up the definition of ... More

The identification of glueballs - further testsFeb 03 2014The indirect evidence for gluonic objects in gluon jets is recalled, more accurate tests at the LHC are possible. Estimates of gluonic and quarkonic components of scalar mesons are presented, which could be improved by further studies, in particular of ... More

Über erreichbare und baumartige unzerlegbare Darstellungen von KöchernJan 05 2014Let $A$ be a finite-dimensional algebra over an algebraically closed field. The problem of constructing indecomposable $A$-modules inductively from simple ones by means of exact sequences - called accessibility - is the starting point of the present diploma-thesis. ... More

Estimates for spectral density functions of matrices over C[Z^d]Oct 31 2013Oct 29 2014We give a polynomial bound on the spectral density function of a matrix over the complex group ring of Z^d. It yields an explicit lower bound on the Novikov-Shubin invariant associated to this matrix showing in particular that the Novikov-Shubin invariant ... More

A Global Game with Heterogenous PriorsDec 30 2013This paper relaxes the common prior assumption in the public and private information game of Morris and Shin (2000, 2004). For the generalized game, where the agent's prior expectations are heterogenous, it derives a sharp condition for the emergence ... More

Hamiltonian Path Integrals In Momentum Space Representation via White Noise TechniquesJul 16 2013The concepts of Feynman integrals in white noise analysis are used to construct the Feynman integrand for the harmonic oscillator in momentum space representation as a Hida distribution. Moreover it is shown that in a limit sense, the potential free case ... More

Hadron Physics from Lattice QCDMay 25 2016We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at the non-perturbative ... More

Jordan Geometries - an Approach by InversionsAug 27 2013Feb 17 2014Jordan geometries are defined as spaces equipped with point reflections depending on triples of points, exchanging two of the points and fixing the third. In a similar way, symmetric spaces have been defined by Loos (Symmetric Spaces I, 1969) as spaces ... More

Instantaneous Bethe-Salpeter Approach to Pseudoscalar MesonsAug 14 2013Light pseudoscalar mesons are Janus-type particles: Within quantum chromodynamics, they must be described as bound states of its fundamental degrees of freedom and as the (pseudo-) Goldstone bosons of its spontaneously broken chiral symmetry. This janiform ... More

Combinatorics of Lattice QCD at Strong CouplingNov 17 2014Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered and Wilson fermions ... More

Survey on Classifying Spaces for Families of SubgroupsDec 19 2003Jun 02 2004We define for a topological group G and a family of subgroups F two versions for the classifying space for the family F, the G-CW-version E_F(G) and the numerable G-space version J_F(G). They agree if G is discrete, or if G is a Lie group and each element ... More

Unbiased Sparse Subspace Clustering By Selective PursuitSep 16 2016Sparse subspace clustering (SSC) is an elegant approach for unsupervised segmentation if the data points of each cluster are located in linear subspaces. This model applies, for instance, in motion segmentation if some restrictions on the camera model ... More

Simplicial Differential Calculus, Divided Differences, and Construction of Weil FunctorsSep 13 2010Jan 11 2011We define a simplicial differential calculus by generalizing divided differences from the case of curves to the case of general maps, defined on general topological vector spaces, or even on modules over a topological ring K. This calculus has the advantage ... More

Probing the MSSM flavor structure with low energy CP violationSep 15 2009We report on an extensive analysis of FCNC and CPV effects in SUSY theories. We present results for Delta F=2 and Delta F=1 processes governed by b --> s transitions both in the low and high tanbeta regime, focussing in particular on S_psi_phi, the phase ... More

On Calibrating Stochastic Volatility Models with time-dependent ParametersOct 06 2010We consider stochastic volatility models using piecewise constant parameters. We suggest a hybrid optimization algorithm for fitting the models to a volatility surface and provide some numerical results. Finally, we provide an outlook on how to further ... More

Comment on the paper: Quantum backaction of optical observations on Bose-Einstein condensates by U. Leonhardt, T. Kiss, and P. Piwnicki, Eur. Phys. J. D7, 413 (1999)Jun 27 2000A recent paper, Quantum backaction of optical observations on Bose-Einstein condensates by U. Leonhardt, T. Kiss, and P. Piwnicki, Eur. Phys. J. D7, 413 (1999), emphasized that the limit of dispersive imaging of Bose-Einstein condensates with off-resonant ... More

Strain mediated adatom stripe morphologies on Cu<111> simulatedJul 27 2012Jan 29 2013Substrate strain mediated adatom configurations on Cu<111> surfaces have been simulated in a coverage range up to nearly 1 monolayer. Interacting adatoms occupy positions on a triangular lattice in two dimensions. The elastic interaction is taken from ... More

Strain Induced Adatom CorrelationsMar 10 2012A Born-Green-Yvon type model for adatom density correlations is combined with a model for adatom interactions mediated by the strain in elastic anisotropic substrates. The resulting nonlinear integral equation is solved numerically for coverages from ... More

The most powerful particles in the Universe: a cosmic smashMay 06 2013This year we are celebrating 101 years since the discovery of cosmic rays. They are whizzing all around the Universe, and they occur at very different energies, including the highest particle energies that exist. However, theory predicts an abrupt suppression ... More

Andersen Filtration and Hard LefschetzApr 27 2006Jul 23 2007On the space of homomorphisms from a Verma module to an indecomposable tilting module of the BGG-category O we define a natural filtration following Andersen and establish a formula expressing the dimensions of the filtration steps in terms of coefficients ... More

Flavor Changing Neutral Current Processes in a SO(10) SUSY GUT with Family SymmetryOct 08 2007We report on a detailed analysis of a SO(10) SUSY GUT model of Dermisek and Raby (DR) with a D3 family symmetry. The model is completely specified in terms of only 24 parameters and is able to successfully describe both quark and lepton masses and mixings, ... More

Supersymmetry and other beyond the Standard Model physics: Prospects for determining mass, spin and CP propertiesDec 10 2008The prospects of measuring masses, spin and CP properties within Supersymmetry and other beyond the Standard Model extensions at the LHC are reviewed. Emphasis is put on models with missing transverse energy due to undetected particles, as in Supersymmetry ... More

Westerlund 1 and its Galactic siblings -Observation confronts TheoryMar 13 2008Because of their large number of stars spread over the entire stellar mass spectrum, starburst clusters are highly suitable to benchmark and calibrate star formation models and theories. Among the handful of Galactic starburst clusters, Westerlund 1 with ... More

On the geometry of cohomogeneity one manifolds with positive curvatureJul 23 2007This is a survey on cohomogeneity one manifolds with positive curvature. We discuss the known examples of this type and their geometry and the functions that describe the metric. We also describe the classification of cohomogeneity one manifolds that ... More

Full Salpeter Equation with Confining Interactions: Analytic Stability ProofOct 30 2008The most popular 3-dimensional reduction of the Bethe-Salpeter formalism for the description of bound states within quantum field theory is the Salpeter equation, found as the instantaneous limit of the Bethe-Salpeter framework if allowing, in addition, ... More

Difference Problems and Differential ProblemsDec 03 2007We state some elementary problems concerning the relation between difference calculus and differential calculus, and we try to convince the reader that, in spite of the simplicity of the statements, a solution of these problems would be a significant ... More

On $g$-functions for subshiftsAug 10 2006A necessary and sufficient condition is given for a subshift presentation to have a continuous $g$-function. An invariant necessary and sufficient condition is formulated for a subshift to posses a presentation that has a continuous $g$-function.

Light scalar meson spectrumNov 23 2001We discuss the classification of the light scalar mesons with mass below 2 GeV into q qbar nonets and glueballs. The information on production and decay of these states, in particular recent information on f_0(980), f_0(400-1200) (or sigma(600)) and f_0(1500) ... More

Scalar mesons: in search of the lightest glueballSep 20 2006According to the QCD expectations the lightest glueball should be a scalar particle (J^{PC}=0^{++}). Different scenarios have been considered for a classification of these states but -- despite considerable progress in recent years -- the experimental ... More

Temperatures of Fragment Kinetic Energy SpectraNov 28 1994Nov 29 1994Multifragmentation reactions without large compression in the initial state (proton-induced reactions, reverse-kinematics, projectile fragmentation) are examined, and it is verified quantitatively that the high temperatures obtained from fragment kinetic ... More

Particle-particle correlations and the space-time structure of heavy ion collisionsFeb 26 1993The present status of the use of two-particle intensity interferometry as a diagnostic tool to study the space-time dynamics of intermediate energy heavy ion collisions is examined. Calculations for the two-proton and two-pion correlation functions are ... More

Dynamical modeling and the interactions with the ISMSep 22 2011This paper is a review of some of the recent modeling efforts to improve our understanding of structure formation and evolution of planetary nebulae including their interaction with the interstellar medium. New propositions have been made for the formation ... More

On the Solvability of Maxwell's EquationsSep 13 2012Complementing a study which was published in this journal in 2005, we present explicit calculations of fields predicted by Maxwell's equations both in Lorenz and in Coulomb gauge. Analytic expressions are obtainable, when the source of the fields is an ... More

On Scalar and Vector Potentials for the Nonlinear Electromagnetic ForcesMay 08 2008The potential concept that is successful in classical electrodynamics should also be applicable to the nonlinear electromagnetic forces acting on matter. The obvious method of determining these potentials should be provided by Helmholtz's theorem. It ... More

Application of Microlocal Analysis to the Theory of Quantum Fields Interacting with a Gravitational FieldJan 10 1997It is explained how techniques from microlocal analysis can be used to settle some long-standing questions that arise in the study of the interaction of quantum matter fields with a classical gravitational background field.

Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved SpacetimeJul 19 1995Quasifree states of a linear Klein-Gordon quantum field on globally hyperbolic spacetime manifolds are considered. Using techniques from the theory of pseudodifferential operators and wavefront sets on manifolds a criterion for a state to be an Hadamard ... More

Robust Processing of Natural LanguageJul 13 1995Jul 14 1995Previous approaches to robustness in natural language processing usually treat deviant input by relaxing grammatical constraints whenever a successful analysis cannot be provided by ``normal'' means. This schema implies, that error detection always comes ... More

Parsing of Spoken Language under Time ConstraintsSep 09 1994Spoken language applications in natural dialogue settings place serious requirements on the choice of processing architecture. Especially under adverse phonetic and acoustic conditions parsing procedures have to be developed which do not only analyse ... More

Asymptotic optimality of scalar Gersho quantizersMar 16 2012Jun 21 2013In his famous paper [7] Gersho stressed that the codecells of optimal quantizers asymptotically make an equal contribution to the distortion of the quantizer. Motivated by this fact, we investigate in this paper quantizers in the scalar case, where each ... More

K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4Dec 08 2004Sep 11 2005We compute the group homology, the topological K-theory of the reduced C^*-algebra, the algebraic K-theory and the algebraic L-theory of the group ring of the semi-direct product of the three-dimensional discrete Heisenberg group by Z/4. These computations ... More

Rules of Thumb for Information Acquisition from Large and Redundant DataDec 16 2010We develop an abstract model of information acquisition from redundant data. We assume a random sampling process from data which provide information with bias and are interested in the fraction of information we expect to learn as function of (i) the ... More

Presentations of symbolic dynamical systems by labelled directed graphs (Notes for a "mini-cours", SDA2, Paris 4-5 October 2007)Sep 10 2012We develop some aspects of a general theory of presentations of subshifts by labelled directed graphs, in particular by compact graphs. Also considered are synchronization properties of subshifts that lead to presentations by countable graphs.

The Burnside Ring and Equivariant Stable Cohomotopy for Infinite GroupsApr 04 2005Jul 12 2005After we have given a survey on the Burnside ring of a finite group, we discuss and analyze various extensions of this notion to infinite (discrete) groups. The first three are the finite-G-set-version, the inverse-limit-version and the covariant Burnside ... More

Comment on: I-Shih Liu: Constitutive theory of anisotropic rigid heat conductorsJun 15 2011In I-Shih Liu's paper \C{1}, the compatibility of anisotropy and material frame indifference of a rigid heat conductor is investigated. For this purpose, the deformation gradient is introduced into the domain of the constitutive mapping. Because of the ... More

Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous SpacesMay 15 2012Aug 13 2012We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension at least 14. Due to an example constructed in a previous article by Oliver Baues and the author, this is a sharp bound. Also, we give ... More

The Poincaré series of some special quasihomogeneous surface singularitiesApr 13 2000Sep 26 2001In the author's paper ''Poincar\'{e} series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity'' a relation is proved between the Poincar\'{e} series of the coordinate algebra of a two-dimensional quasihomogeneous isolated hypersurface ... More

Non-Equilibrium Thermodynamics and Stochasticity, A Phenomenological Look on Jarzynki's EqualityMar 07 2016The theory of phenomenological Non-equilibrium Thermodynamics is extended by includimg stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski equality. Four phenomenological axioms are postulated ... More

Photons in a BallOct 15 2015Dec 16 2015The electromagnetic field inside a spherical cavity of large radius R is considered in the presence of stationary charge and current densities. R provides infra-red regularization while maintaining gauge invariance. The quantum ground state of physical ... More

Tables of prehomogeneous modules and étale modules of reductive algebraic groupsOct 22 2016This document contains tables with the classification of prehomogeneous modules for reductive algebraic groups with up to two simple factors due to Sato, Kimura and many others, as well as corresponding tables of the \'etale modules appearing in this ... More

Goldstone-Type Pseudoscalar Mesons: Instantaneous Bethe-Salpeter ModelsSep 06 2016A nontrivial instantaneous variant of the Bethe-Salpeter formalism allows us to discuss massless pseudoscalar mesons from a configuration-space-potential point of view.

Darwinian Adverse SelectionJul 14 2015We develop a model to study the role of rationality in economics and biology. The model's agents differ continuously in their ability to make rational choices. The agents' objective is to ensure their individual survival over time or, equivalently, to ... More

Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter ModelsJul 08 2016Inversion enables the construction of interaction potentials underlying - under fortunate circumstances even analytic - instantaneous Bethe-Salpeter descriptions of all lightest pseudoscalar mesons as quark-antiquark bound states of Goldstone-boson nature. ... More

Hawking radiation is corpuscularJun 06 2016Jun 29 2016The total number of Hawking quanta emitted during the evaporation of a Schwarzschild black hole is proportional to the square of the initial mass or, equivalently, to the Bekenstein entropy. This simple, but little appreciated, fact is interpreted in ... More

Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate caseMar 03 2015Apr 03 2016In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node points form Chebyshev lattices of rank $1$ and are generalizations of the well-known Padua points. We show that these node points ... More

Flat bands and long range Coulomb interactions: conducting or insulating?Jul 23 2014Dispersionless (flat) electronic bands are investigated regarding their conductance properties. Due to "caging" of carriers these bands are usually insulating at partial filling, at least on the non-interacting level. Considering the specific example ... More

On a Fair Copy of Riemann's 1859 Publication Created by Alfred ClebschDec 09 2015Dec 16 2015We will verify that the fair copy "Ueber die Anzahl der Primzahlen unter einer gegebenen Gr\"osse" found in Riemann's Nachlass is not in Riemann's hand. Further, we will show that this paper was written by Alfred Clebsch and that it was used after Clebsch's ... More

The initial value problem as it relates to numerical relativityOct 12 2016Spacetime is foliated by spatial hypersurfaces in the 3+1 split of General Relativity. The initial value problem then consists of specifying initial data for all relevant fields on one such a spatial hypersurface. These fields are the 3-metric and extrinsic ... More

On Designs for Recursive Least Squares Residuals to Detect AlternativesJun 28 2016Linear regression models are checked by a lack-of-fit (LOF) test to be sure that the model is at least approximatively true. In many practical cases data are sampled sequentially. Such a situation appears in industrial production when goods are produced ... More

Shadows of graphical mean curvature flowApr 18 2016We consider mean curvature flow of an initial surface that is the graph of a function over some domain of definition in $R^n$. If the graph is not complete then we impose a constant Dirichlet boundary condition at the boundary of the surface. We establish ... More

The Linearization of Pairwise Markov NetworksFeb 17 2015Belief Propagation (BP) allows to approximate exact probabilistic inference in graphical models, such as Markov networks (also called Markov random fields, or undirected graphical models). However, no exact convergence guarantees for BP are known, in ... More

Semi-Supervised Learning with HeterophilyDec 09 2014We propose a novel linear semi-supervised learning formulation that is derived from a solid probabilistic framework: belief propagation. We show that our formulation generalizes a number of label propagation algorithms described in the literature by allowing ... More

New Physics Interpretations of the B-->K*mu+mu- AnomalyMay 20 2014This talk discusses possible new physics interpretations of recent experimental results on the B-->K*mu+mu- decay that show a discrepancy with the Standard Model predictions. A model independent analysis that takes into account all the relevant observables ... More

On the number of soft quanta in classical field configurationsJun 26 2013Aug 26 2013A crucial ingredient in the large-N quantum portrait of black holes proposed by Dvali and Gomez is the estimate of the number of soft quanta that make up the classical gravitational field. It is argued here that the coherent state formalism provides a ... More

Accelerated Landweber methods based on co-dilated orthogonal polynomialsJun 09 2012Dec 20 2012In this article, we introduce and study accelerated Landweber methods for linear ill-posed problems obtained by an alteration of the coefficients in the three-term recurrence relation of the \nu-methods. The residual polynomials of the semi-iterative ... More

Survey on geometric group theoryJun 23 2008Sep 11 2008This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties and invariants ... More

Boundary clustered layers near the higher critical exponentsNov 11 2012We consider the supercritical problem {equation*} -\Delta u=|u| ^{p-2}u\text{\in}\Omega,\quad u=0\text{\on}\partial\Omega, {equation*} where $\Omega$ is a bounded smooth domain in $\mathbb{R}^{N}$ and $p$ smaller than the critical exponent $2_{N,k}^{\ast}:=\frac{2(N-k)}{N-k-2}$ ... More

Phenomenology of CP Violation in a Flavor Blind MSSM and BeyondNov 02 2009We present an analysis of low energy CP violating observables in the Minimal Supersymmetric Standard Model (MSSM). We focus on the predictions of CP violation in b -> s transitions in the framework of a flavor blind MSSM, where the CKM matrix remains ... More

Long term black hole evolution with the BSSN system by pseudospectral methodsNov 05 2009Nov 24 2009We present long term evolutions of a single black hole of mass $M$ with the BSSN system using pseudospectral methods. For our simulations we use the SGRID code where the BSSN system is implemented in its standard second order in space form. Previously ... More

Andersen-Filtrierung und harter LefschetzApr 27 2006We consider the principal block of category O and its graded version. On the space of homomorphisms from a Verma module to an indecomposable tilting module we may define natural filtrations following Andersen. The arguments given in this article prove ... More

Approximating L^2-invariants and homology growthMar 13 2012Oct 17 2012In this paper we consider the asymptotic behavior of invariants such as Betti numbers, minimal numbers of generators of singular homology, the order of the torsion subgroup of singular homology, and torsion invariants. We will show that all these vanish ... More

Adaptive Optics in Star FormationSep 29 2003Over the past ten years, the concept of adaptive optics has evolved from early experimental stages to a standard observing tool now available at almost all major optical and near-infrared telescope facilities. Adaptive optics will also be essential in ... More

On M. Mueter's Ph.D. Thesis on Cheeger deformationsSep 01 2009These are notes of a talk I gave in a seminar at the University of Pennsylvania summarizing results in the Ph.D. thesis of Michael Mueter obtained under the direction of Wolfgang Meyer at the University of Muenster. His thesis on "Kruemmungserhoehende ... More

Examples of Riemannian Manifolds with non-negative sectional curvatureJan 14 2007Apr 11 2007An updated version with a few corrections.

Renormalized Soft-Higgs TheoremsMay 15 1995The Higgs couplings to matter fields are proportional to their masses. Thus Higgs amplitudes can be obtained by differentiating amplitudes without Higgs with respect to masses. We show how this well-known statement can be extended to higher order when ... More

On Lambda-Graph Systems for Subshifts of SubshiftsSep 21 2005Dec 30 2006Kengo Matsumoto has introduced lambda-graph systems and strong shift equivalence of lambda-graph systems [Doc.Math.4 (1999), 285-340]. We associate to a subshift of a subshift a lambda-graph system. The strong shift equivalence class of the associated ... More