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Evidence of local magnetic order in hcp iron from Raman mode splittingNov 26 2001Experimental measurements of Raman spectra for hcp iron at high pressure show two modes over a considerable pressure range in contrast to the prediction of one doubly degenerate mode for the hcp lattice. We use density functional theory to investigate ... More

Pressure induced Hydrogen-Hydrogen interaction in metallic FeH revealed by NMRFeb 08 2019Knowledge of the behavior of hydrogen in metal hydrides is the key for understanding their electronic properties. So far, no experimental methods exist to access these properties beyond 100 GPa, where high-Tc superconductivity emerges. Here, we present ... More

Comment on "On the importance of the free energy for elasticity under pressure"Apr 14 2004Marcus et al. (Marcus P, Ma H and Qiu S L 2002 J. Phys.: Condens. Matter 14 L525) claim that thermodynamic properties of materials under pressure must be computed using the Gibbs free energy $G$, rather than the internal energy $E$. Marcus et al. state ... More

Physical Properties of Iron in the Inner CoreApr 18 2002The Earth's inner core plays a vital role in the dynamics of our planet and is itself strongly exposed to dynamic processes as evidenced by a complex pattern of elastic structure. To gain deeper insight into the nature of these processes we rely on a ... More

Absence of lattice strain anomalies at the electronic topological transition in zinc at high pressureMay 30 2000Oct 16 2000High pressure structural distortions of the hexagonal close packed (hcp) element zinc have been a subject of controversy. Earlier experimental results and theory showed a large anomaly in lattice strain with compression in zinc at about 10 GPa which was ... More

Spontaneous charge carrier localization in extended one-dimensional systemsSep 17 2015Jan 12 2016Charge carrier localization in extended atomic systems has been described previously as being driven by disorder, point defects or distortions of the ionic lattice. Here we show for the first time by means of first-principles computations that charge ... More

Deviations from piecewise linearity in the solid-state limit with approximate density functionalsSep 16 2014In exact density functional theory (DFT) the total ground-state energy is a series of linear segments between integer electron points, a condition known as "piecewise linearity". Deviation from this condition is indicative of poor predictive capabilities ... More

A new ab initio equation of state of hcp-Fe and its implication on the interior structure and mass-radius relations of rocky super-EarthsMay 26 2018More than a third of all exoplanets can be classified as super-Earths based on radius (1-2 $R_{\bigoplus}$) and mass (< 10 $M_{\bigoplus}$). Here we model mass-radius relations based on silicate mantle and iron core equations of state to infer to first ... More

Valence of complex-valued planar harmonic functionsJan 26 2004The valence of a function $f$ at a point $w$ is the number of distinct, finite solutions to $f(z) = w$. Let $f$ be a complex-valued harmonic function in an open set $R \subseteq \mathbb{C}$. Let $S$ denote the critical set of $f$ and $C(f)$ the global ... More

Applying Explanation-based Learning to Control and Speeding-up Natural Language GenerationDec 08 1997This paper presents a method for the automatic extraction of subgrammars to control and speeding-up natural language generation NLG. The method is based on explanation-based learning (EBL). The main advantage for the proposed new method for NLG is that ... More

Cluster points and asymptotic values of planar harmonic functionsAug 31 2005A sufficient condition for a cluster point of a planar harmonic function to be an asymptotic value is given, based on a partitioning into regions of constant valence. A sufficient condition for the cluster set of a planar harmonic function to have non-empty ... More

Computational Complexity Analysis of Multi-Objective Genetic ProgrammingMar 22 2012The computational complexity analysis of genetic programming (GP) has been started recently by analyzing simple (1+1) GP algorithms for the problems ORDER and MAJORITY. In this paper, we study how taking the complexity as an additional criteria influences ... More

Analysis of Invariants Associated with Spectral Boundary Problems for an Elliptic OperatorJun 08 2004This is a survey of recent results on zeta- and eta-function poles and values for realizations of Laplace- and Dirac-type operators defined by pseudodifferential projection boundary conditions (including the Atiyah-Patodi-Singer operator and its square). ... More

A resolvent approach to traces and zeta Laurent expansionsNov 06 2003Dec 19 2005Classical pseudodifferential operators A on closed manifolds are considered. It is shown that the basic properties of the canonical trace TR A introduced by Kontsevich and Vishik are easily proved by identifying it with the leading nonlocal coefficient ... More

Local and nonlocal boundary conditions for $μ$-transmission and fractional elliptic pseudodifferential operatorsMar 27 2014Dec 20 2014A classical pseudodifferential operator $P$ on $R^n$ satisfies the $\mu$-transmission condition relative to a smooth open subset $\Omega $, when the symbol terms have a certain twisted parity on the normal to $\partial\Omega $. As shown recently by the ... More

Importance of Magnetism in Phase Stability, Equations of State, and ElasticityOct 01 2001Jul 24 2002The effects of magnetism on high pressure properties of transition metals and transition metal compounds can be quite important. In the case of Fe, magnetism is responsible for stability of the body-centered cubic (bcc) phase at ambient conditions, and ... More

First-Principles Elastic Constants for the hcp Transition Metals Fe, Co, and Re at High PressureApr 29 1999The elastic constant tensors for the hcp phases of three transition metals (Co, Re, and Fe) are computed as functions of pressure using the Linearized Augmented Plane Wave method with both the local density and generalized gradient approximations. Spin-polarized ... More

Evolutionary Image Transition Based on Theoretical Insights of Random ProcessesApr 21 2016Evolutionary algorithms have been widely studied from a theoretical perspective. In particular, the area of runtime analysis has contributed significantly to a theoretical understanding and provided insights into the working behaviour of these algorithms. ... More

Green's formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operatorsNov 09 2016The paper treats boundary value problems for the fractional Laplacian $(-\Delta )^a$, $a>0$, and its generalizations to pseudodifferential operators ($\psi $do's) $P$ of order $2a$ with even symbol, applied to functions on a smooth subset $\Omega $ of ... More

Characteristic classes in $TMF$ of level $Γ_1(3)$Apr 12 2013Sep 30 2014Let $TMF_1(n)$ be the spectrum of topological modular forms equipped with a $\Gamma_1(n)$-structure. We compute the $K(2)$-local $TMF_1(3)$-cohomology of $B{\mathit String}$ and $B{\mathit Spin}$: both are power series rings freely generated by classes ... More

The Heart of FidelityJul 10 2012The multi-electron wave function of an interacting electron system depends on the size of the system, i.e. the number of electrons. Here the question investigated is how the wave function changes for a symmetric Friedel-Anderson impurity when the volume ... More

Three-slit experiments and quantum nonlocalityApr 01 2011Apr 24 2013An interesting link between two very different physical aspects of quantum mechanics is revealed; these are the absence of third-order interference and Tsirelson's bound for the nonlocal correlations. Considering multiple-slit experiments - not only the ... More

Different Types of Conditional Expectation and the Lueders - von Neumann Quantum MeasurementJan 21 2010In operator algebra theory, a conditional expectation is usually assumed to be a projection map onto a sub-algebra. In the paper, a further type of conditional expectation and an extension of the Lueders - von Neumann measurement to observables with continuous ... More

Conditional probability, three-slit experiments, and the Jordan algebra structure of quantum mechanicsDec 01 2009Sep 30 2012Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics as well as Jordan algebras. ... More

Friedel oscillations of Kondo impurities: A comparisonMay 06 2008Recently Affleck et al. derived the existence of Friedel oscillations in the presence of a Kondo impurity. They supported their analytic derivation by numerical calculations using Wilson's renormalization approach (NRG). In this paper the size of the ... More

How the Kondo ground state avoids the orthogonality catastropheNov 20 2008In the presence of a magnetic impurity the spin-up and down band states are modified differently by the impurity. If the multi-electron scalar product (MESP) between the occupied spin-up and down states approaches zero then this defines an orthogonality ... More

Perturbation of essential spectra of exterior elliptic problemsNov 11 2008Nov 17 2009For a second-order strongly elliptic differential operator on an exterior domain in R^n it is known from works of Birman and Solomiak that a change of the boundary condition from the Dirichlet condition to an elliptic Neumann or Robin condition leaves ... More

A Compact Approximate Solution to the Friedel-Anderson Impuriy ProblemFeb 08 2006An approximate groundstate of the Anderson-Friedel impurity problem is presented in a very compact form. It requires solely the optimization of two localized electron states and consists of four Slater states (Slater determinants). The resulting singlet ... More

On the logarithm component in trace defect formulasNov 22 2004In asymptotic expansions of resolvent traces $\Tr(A(P-\lambda)^{-1})$ for classical pseudodifferential operators on closed manifolds, the coefficient $C_0(A,P)$ of $(-\lambda)^{-1}$ is of special interest, since it is the first coefficient containing ... More

Quantum key distribution without the wavefunctionNov 08 2016A well-known feature of quantum mechanics is the secure exchange of secret bit strings which can then be used as keys to encrypt messages transmitted over any classical communication channel. It is demonstrated that this quantum key distribution allows ... More

A Critical Analysis of the Mean-Field Approximation for the Calculation of the Magnetic Moment in the Friedel-Anderson Impurity ModelAug 29 2005It is shown that the calculation of the magnetic moment of a Friedel-Anderson impurity in mean-field theory is unreliable. A class of approximate solutions, which contains the mean-field solution as an element, is expressed in rotated Hilbert space and ... More

Symmetries of Surface SingularitiesApr 24 1996The automorphism group ${\rm Aut}\: X$ of a weighted homogeneous normal surface singularity $X$ has a maximal reductive algebraic subgroup $G$ which contains every reductive algebraic subgroup of ${\rm Aut}\: X$ up to conjugation. In all cases except ... More

Iitaka-Severi's Conjecture for Complex ThreefoldsMay 12 1995Nov 29 2014We prove the following generalization of Severi's Theorem: Let $X$ be a fixed complex variety. Then there exist, up to birational equivalence, only finitely many complex varieties $Y$ of general type of dimension at most three which admit a dominant rational ... More

Green's formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operatorsNov 09 2016Nov 15 2016The paper treats boundary value problems for the fractional Laplacian $(-\Delta )^a$, $a>0$, and its generalizations to pseudodifferential operators ($\psi $do's) $P$ of order $2a$ with even symbol, applied to functions on a smooth subset $\Omega $ of ... More

Krein resolvent formulas for elliptic boundary problems in nonsmooth domainsOct 15 2008The paper reports on a recent construction of M-functions and Krein resolvent formulas for general closed extensions of an adjoint pair, and their implementation to boundary value problems for second-order strongly elliptic operators on smooth domains. ... More

Remarks on nonlocal trace expansion coefficientsOct 03 2005Dec 19 2005In a recent work, Paycha and Scott establish formulas for all the Laurent coefficients of Tr(AP^{-s}) at the possible poles. In particular, they show a formula for the zero'th coefficient at s=0, in terms of two functions generalizing, respectively, the ... More

Pauli Blocking in Degenerate Plasmas and the Separable Potential ApproachJan 23 2019The Mott effect describes the dissolution of bound states in a dense partially ionized plasma. It happens when the ionization potential depression, owing to effects of correlation and degeneracy, compensates the binding energy of the bound state. At high ... More

Spectral results for mixed problems and fractional elliptic operatorsJul 03 2014Jul 16 2014In the first part of the paper we show Weyl type spectral asymptotic formulas for pseudodifferential operators $P_a$ of order $2a$, with type and factorization index $a\in R_+$, restricted to compact sets with boundary; this includes fractional powers ... More

The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimatesApr 05 2011Apr 28 2011For a second-order symmetric strongly elliptic operator A on a smooth bounded open set \Omega in R^n with boundary \Sigma, the mixed problem is defined by a Neumann-type condition on a part Sigma_+ of the boundary and a Dirichlet condition on the other ... More

The sectorial projection defined from logarithmsFeb 20 2011Jul 26 2011For a classical elliptic pseudodifferential operator P of order m>0 on a closed manifold X, such that the eigenvalues of the principal symbol p_m(x,\xi) have arguments in \,]\theta,\phi [\, and \,]\phi, \theta +2\pi [\, (\theta <\phi <\theta +2\pi), the ... More

The Evolutionary Process of Image Transition in Conjunction with Box and Strip MutationAug 05 2016Evolutionary algorithms have been used in many ways to generate digital art. We study how evolutionary processes are used for evolutionary art and present a new approach to the transition of images. Our main idea is to define evolutionary processes for ... More

The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebrasJul 03 1996In this paper the elliptic genus for a general Calabi-Yau fourfold is derived. The recent work of Kawai calculating N=2 heterotic string one-loop threshold corrections with a Wilson line turned on is extended to a similar computation where K3 is replaced ... More

Molecular association at the microscopic levelMar 12 2005The Helmholtz free-energy W is calculated as a function of separation distance for two molecules in a fluid, A and B, whose mutual interaction is described by a spherically symmetric potential. For the equilibrium A + B = AB occurring in a dilute solution ... More

Efficient Scene Text Localization and Recognition with Local Character RefinementApr 14 2015An unconstrained end-to-end text localization and recognition method is presented. The method detects initial text hypothesis in a single pass by an efficient region-based method and subsequently refines the text hypothesis using a more robust local text ... More

Scaling invariance in finance II: Path-dependent contingent claimsJul 13 1999This article is the second one in a series on the use of scaling invariance in finance. In the first article (cond-mat/9906048), we introduced a new formalism for the pricing of derivative securities, which focusses on tradable objects only, and which ... More

A topological view on algebraic computation modelsFeb 25 2016We investigate the topological aspects of some algebraic computation models, in particular the BSS-model. Our results can be seen as bounds on how different BSS-computability and computability in the sense of computable analysis can be. The framework ... More

Atiyah sequences, connections and Chern-Weil theory for algebraic and differentiable stacksNov 19 2013Nov 26 2013We construct connections and characteristic forms for principal bundles over groupoids and stacks in the differentiable, holomorphic and algebraic category using Atiyah sequences associated to transversal tangential distributions.

The Packing While Traveling ProblemDec 30 2015This paper introduces the Packing While Traveling problem as a new non-linear knapsack problem. Given are a set of cities that have a set of items of distinct profits and weights and a vehicle that may collect the items when visiting all the cities in ... More

Ideal-Chain Collapse in BiopolymersNov 29 2000Dec 18 2000A conceptual difficulty in the Hooke's-law description of ideal Gaussian polymer-chain elasticity is sometimes apparent in analyses of experimental data or in physical models designed to simulate the behavior of biopolymers. The problem, the tendency ... More

Phase Diagram for Unzipping DNA Using a Bond-Force CriterionJan 29 2002Using the criterion that the mechanical unzipping transition in a bound homopolymer is triggered when the average force exerted by the single unbound strands on the first base pair in the bound section exceeds the force binding the pair together, the ... More

On the number of zeros of certain rational harmonic functionsJan 15 2004Mar 05 2004Extending a result from the paper of D. Khavinson and G. Swiatek, we show that the rational harmonic function $\bar{r(z)} - z$, where r(z) is a rational function of degree n > 1, has no more than 5n - 5 complex zeros. Applications to gravitational lensing ... More

Scale-invariance and contingent claim pricingJun 03 1999Prices of tradables can only be expressed relative to each other at any instant of time. This fundamental fact should therefore also hold for contigent claims, i.e. tradable instruments, whose prices depend on the prices of other tradables. We show that ... More

New optical polarization measurements of the Crab pulsarNov 21 2005The Crab nebula and its pulsar have been observed for about 3 hours with the high-speed photo-polarimeter OPTIMA in January 2002 at the Calar Alto 3.5m telescope. The Crab pulsar intensity and polarization are determined at all phases of rotation with ... More

On the Runtime of Randomized Local Search and Simple Evolutionary Algorithms for Dynamic Makespan SchedulingApr 23 2015Evolutionary algorithms have been frequently used for dynamic optimization problems. With this paper, we contribute to the theoretical understanding of this research area. We present the first computational complexity analysis of evolutionary algorithms ... More

A Feature-Based Analysis on the Impact of Set of Constraints for e-Constrained Differential EvolutionJun 23 2015Different types of evolutionary algorithms have been developed for constrained continuous optimization. We carry out a feature-based analysis of evolved constrained continuous optimization instances to understand the characteristics of constraints that ... More

A Feature-Based Comparison of Evolutionary Computing Techniques for Constrained Continuous OptimisationSep 23 2015Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution and particle ... More

Comment on "New formulas for the (-2) moment of the photoabsorption cross section, σ_(-2)"Jul 05 2015Mar 08 2016Empirical formulas for the second inverse moment of the photoabsorption cross sections in nuclei are discussed in J. N. Orce, Phys. Rev. C 91, 064602 (2015). In this Comment I point out that the experimental values used are systematically too small in ... More

Regular geodesic normal forms in virtually abelian groupsFeb 24 1997Cannon has given an example of a virtually abelian group and a generating set where the full language of geodesics is not regular. We describe a virtually abelian group and a generating set so that no regular language of geodesics surjects to the group. ... More

On the Humble Origins of the Brownian Entropic ForceJun 17 2015Recognition that certain forces arising from the averaging of the multiple impacts of a solute particle by the surrounding solvent particles undergoing random thermal motion can be of an entropic nature has led to the incorporation of these forces and ... More

Entropic Elasticity of Weakly Perturbed PolymersJan 22 2001Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response to an applied ... More

Absolute regularity and ergodicity of Poisson count processesJan 05 2012We consider a class of observation-driven Poisson count processes where the current value of the accompanying intensity process depends on previous values of both processes. We show under a contractive condition that the bivariate process has a unique ... More

Étale homotopy types of moduli stacks of polarised abelian schemesDec 23 2015We determine the Artin-Mazur \'etale homotopy types of moduli stacks of polarised abelian schemes using transcendental methods and derive some arithmetic properties of the \'etale fundamental groups of these moduli stacks. Finally we analyse the Torelli ... More

Secondary theories for simplicial manifolds and classifying spacesMar 27 2009We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi's multiplicative K-theory and multiplicative cohomology groups for smooth manifolds. As a special case we get versions of the groups of differential ... More

Etale homotopy types of moduli stacks of algebraic curves with symmetriesApr 21 2004Using the machinery of etale homotopy theory a' la Artin-Mazur we determine the etale homotopy types of moduli stacks over $\bar{\Q}$ parametrizing families of algebraic curves of genus g greater than 1 endowed with an action of a finite group G of automorphisms, ... More

A characterization of shortest geodesics on surfacesJun 24 2001Any finite configuration of curves with minimal intersections on a surface is a configuration of shortest geodesics for some Riemannian metric on the surface. The metric can be chosen to make the lengths of these geodesics equal to the number of intersections ... More

Partial norms and the convergence of general products of matricesFeb 23 1998Motivated by the theory of inhomogeneous Markov chains, we determine a sufficient condition for the convergence to 0 of a general product formed from a sequence of real or complex matrices. When the matrices have a common invariant subspace $H$, we give ... More

Extended Bloch group and the Chern-Simons class (Incomplete working version)Dec 10 2002We define an extended Bloch group and show it is isomorphic to $H_3(PSL(2,C)^\delta;Z)$. Using the Rogers dilogarithm function this leads to an exact simplicial formula for the universal Cheeger-Simons class on this homology group. It also leads to an ... More

Perturbative BPS-algebras in superstring theoryFeb 27 1997This paper investigates the algebraic structure that exists on perturbative BPS-states in the superstring, compactified on the product of a circle and a Calabi-Yau fourfold. This structure was defined in a recent article by Harvey and Moore. It shown ... More

Thermodynamics of a rotating black hole in minimal five-dimensional gauged supergravityFeb 24 2015In this article we study the thermodynamics of a general non-extremal rotating black hole in minimal five-dimensional gauged supergravity. We analyse the entropy-temperature diagram and the free energy. Additionally we consider the thermodynamic stability ... More

Incremental and Fully Dynamic Subgraph Connectivity For Emergency PlanningNov 16 2016During the last 10 years it has become popular to study dynamic graph problems in a emergency planning or sensitivity setting: Instead of considering the general fully dynamic problem, we only have to process a single batch update of size $d$; after the ... More

About the equivalence of divisor classes on hyperelliptic curves and a quotient of linear forms by an algebraic group actionApr 26 2006For a hyperelliptic curve of genus $g$, a divisor in general position of degree $g+1$ is given by polynomial equations. There is an action from an algebraic group on the representations of divisors by polynomials which fixes divisor classes. This structure ... More

Intercusp geodesics and the invariant trace field of hyperbolic 3-manifoldsFeb 23 2014Mar 28 2014Given a cusped hyperbolic 3-manifold with finite volume, we define two types of complex parameters which capture geometric information about the preimages of geodesic arcs traveling between cusp cross-sections. We prove that these parameters are elements ... More

Asians and cash dividends: Exploiting symmetries in pricing theoryJun 08 2000In this article we present new results for the pricing of arithmetic Asian options within a Black-Scholes context. To derive these results we make extensive use of the local scale invariance that exists in the theory of contingent claim pricing. This ... More

3C 295, a cluster and its cooling flow at z=0.46Feb 02 1999We present ROSAT HRI data of the distant and X-ray luminous (L_x(bol)=2.6^ {+0.4}_{-0.2} 10^{45}erg/sec) cluster of galaxies 3C 295. We fit both a one-dimensional and a two-dimensional isothermal beta-model to the data, the latter one taking into account ... More

Slice theorem and orbit type stratification in infinite dimensionsDec 11 2018We establish a general slice theorem for the action of a locally convex Lie group on a locally convex manifold, which generalizes the classical slice theorem of Palais to infinite dimensions. We discuss two important settings under which the assumptions ... More

Rational polynomials of simple typeAug 10 2000We classify two-variable polynomials which are rational of simple type. These are precisely the two-variable polynomials with trivial homological monodromy.

Is MS1054-03 an exceptional cluster? A new investigation of ROSAT/HRI X-ray dataMay 17 2000We reanalyzed the ROSAT/HRI observation of MS1054-03, optimizing the channel HRI selection and including a new exposure of 68 ksec. From a wavelet analysis of the HRI image we identify the main cluster component and find evidence for substructure in the ... More

Large Deviations for stationary probabilities of a family of continuous time Markov chains via Aubry-Mather theoryFeb 04 2014Feb 23 2014We consider a family of continuous time symmetric random walks indexed by $k\in \mathbb{N}$, $\{X_k(t),\,t\geq 0\}$. For each $k\in \mathbb{N}$ the matching random walk take values in the finite set of states $\Gamma_k=\frac{1}{k}(\mathbb{Z}/k\mathbb{Z})$ ... More

Discrepancy-based Evolutionary Diversity OptimizationFeb 15 2018Diversity plays a crucial role in evolutionary computation. While diversity has been mainly used to prevent the population of an evolutionary algorithm from premature convergence, the use of evolutionary algorithms to obtain a diverse set of solutions ... More

Automatic structures and boundaries for graphs of groupsJun 16 1993We study the synchronous and asynchronous automatic structures on the fundamental group of a graph of groups in which each edge group is finite. Up to a natural equivalence relation, the set of biautomatic structures on such a graph product bijects to ... More

Self-similarity of clusters of galaxies and the L_X-T relationMay 26 2001In this paper based on ROSAT/PSPC data we investigate the emission measure profiles of a sample of hot clusters of galaxies (kT>3.5keV) in order to explain the differences between observed and theoretically predicted L_X-T relation. Looking at the form ... More

X-ray properties of the distant cluster Cl0016+16Jul 12 1996We present X-ray data on the distant cluster Cl0016+16 (z=0.5545) from ROSAT PSPC and HRI observations and use them to study the physics of the intracluster medium (ICM) and the dynamical state of the cluster. The surface brightness distribution is not ... More

Single-shot 3D motion picture camera with a dense point cloudMay 06 2016We introduce a method and a 3D-camera for single-shot 3D shape measurement, with unprecedented features: The 3D-camera does not rely on pattern codification and acquires object surfaces at the theoretical limit of the information efficiency: Up to 30% ... More

QCD on an infinite latticeAug 10 2011Oct 12 2012We construct a mathematically well--defined framework for the kinematics of Hamiltonian QCD on an infinite lattice in $\R^3$, and it is done in a C*-algebraic context. This is based on the finite lattice model for Hamiltonian QCD developed by Kijowski, ... More

The Geometry of Hyperbolic and Elliptic CR-manifolds of codimension twoMar 08 1999The general theory of parabolic geometries is applied to the study of the normal Cartan connections for all hyperbolic and elliptic 6-dimensional CR-manifolds of codimension two. The geometric meaning of the individual components of the torsion is explained ... More

On the algebra of quantum observables for a certain gauge modelJul 29 2008We prove that the algebra of observables of a certain gauge model is generated by unbounded elements in the sense of Woronowicz. The generators are constructed from the classical generators of invariant polynomials by means of geometric quantization.

No-Gap Second-Order Conditions via a Directional Curvature FunctionalJul 24 2017This paper is concerned with necessary and sufficient second-order conditions for finite-dimensional and infinite-dimensional constrained optimization problems. Using a suitably defined directional curvature functional for the admissible set, we derive ... More

Numerical approximation of optimal convex shapesOct 25 2018This article investigates the numerical approximation of shape optimization problems with PDE constraint on classes of convex domains. The convexity constraint provides a compactness property which implies well posedness of the problem. Moreover, we prove ... More

Parameterized Runtime Analyses of Evolutionary Algorithms for the Euclidean Traveling Salesperson ProblemJul 03 2012Oct 09 2012Parameterized runtime analysis seeks to understand the influence of problem structure on algorithmic runtime. In this paper, we contribute to the theoretical understanding of evolutionary algorithms and carry out a parameterized analysis of evolutionary ... More

Unfolding polynomial maps at infinityOct 11 1999We give a topological model for a polynomial map from $\C^n$ to $\C$ in the neighborhood of a fiber with isolated singularities. This is motivated out of the ``unfolding of links'' described earlier by the first author and Lee Rudolph. The topological ... More

New results on clusters of galaxies observed with XMM-NewtonJul 29 2004Clusters of galaxies contain a hot gas, which emits in X-rays. X-ray telescopes such as XMM-Newton allow to study this plasma to obtain information on physical quantities of these objects. We present here some results on the total mass density distribution ... More

Evolutionary Algorithms for the Chance-Constrained Knapsack ProblemFeb 13 2019Evolutionary algorithms have been widely used for a range of stochastic optimization problems. In most studies, the goal is to optimize the expected quality of the solution. Motivated by real-world problems where constraint violations have extremely disruptive ... More

Complex analytic realization of linksOct 11 2006We present the complex analytic and principal complex analytic realizability of a link in a 3-manifold $M$ as a tool for understanding the complex structures on the cone $C(M)$.

Regular Cocycles and Biautomatic StructuresNov 07 1994Let $E$ be a virtually central extension of the group $G$ by a finitely generated abelian group $A$. We show that $E$ carries a biautomatic structure if and only if $G$ has a biautomatic structure $L$ for which the cohomology class of the extension is ... More

Goodness-of-fit tests for Markovian time series models: Central limit theory and bootstrap approximationsMar 06 2008New goodness-of-fit tests for Markovian models in time series analysis are developed which are based on the difference between a fully nonparametric estimate of the one-step transition distribution function of the observed process and that of the model ... More

The 2-generalized knot group determines the knotApr 07 2008Generalized knot groups $G_n(K)$ were introduced independently by Kelly (1991) and Wada (1992). We prove that $G_2(K)$ determines the unoriented knot type and sketch a proof of the same for $G_n(K)$ for $n>2$.

Scattering of an exponential pulse by a single atomJun 17 2013We discuss the scattering of a light pulse by a single atom in free space using a purely semi-classical framework. The atom is treated as a linear elastic scatterer allowing to treat each spectral component of the incident pulse separately. For an increasing ... More

Multiband tight-binding theory of disordered ABC semiconductor quantum dots: Application to the optical properties of alloyed CdZnSe nanocrystalsOct 06 2010Zero-dimensional nanocrystals, as obtained by chemical synthesis, offer a broad range of applications, as their spectrum and thus their excitation gap can be tailored by variation of their size. Additionally, nanocrystals of the type ABC can be realized ... More

MIMO APP Receiver Processing with Performance-Determined ComplexityOct 20 2010Jan 20 2012Typical receiver processing, targeting always the best achievable bit error rate performance, can result in a waste of resources, especially, when the transmission conditions are such that the best performance is orders of magnitude better than the required. ... More

Logarithms and sectorial projections for elliptic boundary problemsMar 29 2007Sep 05 2007On a compact manifold with boundary, consider the realization B of an elliptic, possibly pseudodifferential, boundary value problem having a spectral cut (a ray free of eigenvalues), say R_-. In the first part of the paper we define and discuss in detail ... More