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Stationary two-black-hole configurations: A non-existence proofMay 29 2011Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting violation of characteristic black hole properties, we present a non-existence proof for equilibrium configurations consisting of two aligned rotating black ... More

Collisions of rigidly rotating disks of dust in General RelativityJun 07 2006Sep 25 2006We discuss inelastic collisions of two rotating disks by using the conservation laws for baryonic mass and angular momentum. In particular, we formulate conditions for the formation of a new disk after the collision and calculate the total energy loss ... More

Non-existence of stationary two-black-hole configurations: The degenerate caseMar 27 2011In a preceding paper we examined the question whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. Based on the solution of a boundary value problem for two separate (Killing-) ... More

Non-existence of stationary two-black-hole configurationsFeb 09 2010Jun 07 2010We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. To answer the question we formulate a boundary value problem for two separate ... More

Stationary black-hole binaries: A non-existence proofFeb 04 2013Jun 23 2014We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned black holes can balance each other. Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting ... More

Non-existence of stationary two-black-hole configurationsMay 26 2009Jun 25 2009We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned black holes can balance each other. To answer the question we formulate a boundary value problem for two separate (Killing-) ... More

Thermodynamic Description of Inelastic Collisions in General RelativityJan 24 2007Apr 03 2007We discuss head-on collisions of neutron stars and disks of dust ("galaxies") following the ideas of equilibrium thermodynamics, which compares equilibrium states and avoids the description of the dynamical transition processes between them. As an always ... More

Closed Sets and Operators thereon: Representations, Computability and ComplexityJan 01 2017Apr 09 2018The TTE approach to Computable Analysis is the study of so-called representations (encodings for continuous objects such as reals, functions, and sets) with respect to the notions of computability they induce. A rich variety of such representations had ... More

Trends in the elastic response of binary early transition metal nitridesNov 11 2011Motivated by an increasing demand for coherent data that can be used for selecting materials with properties tailored for specific application requirements, we studied elastic response of nine binary early transition metal nitrides (ScN, TiN, VN, YN, ... More

Ab initio study of pressure stabilised NiTi allotropes: pressure-induced transformations and hysteresis loopsOct 13 2011Dec 06 2011Changes in stoichiometric NiTi allotropes induced by hydrostatic pressure have been studied employing density functional theory. By modelling the pressure-induced transitions in a way that imitates quasi-static pressure changes, we show that the experimentally ... More

Progress in relativistic gravitational theory using the inverse scattering methodApr 23 2003The increasing interest in compact astrophysical objects (neutron stars, binaries, galactic black holes) has stimulated the search for rigorous methods, which allow a systematic general relativistic description of such objects. This paper is meant to ... More

Ab initio study of point defects in NiTi-based alloysOct 15 2013Mar 20 2014Changes in temperature or stress state may induce reversible B2$\leftrightarrow$(R)$\leftrightarrow$ B19' martensitic transformations and associated shape memory effects in close-to-stoichiometric nickel-titanium (NiTi) alloys. Recent experimental studies ... More

Impact of local lattice relaxations on phase stability and chemical ordering in bcc NbMoTaW high-entropy alloys explored by ab initio based machine-learning potentialsOct 25 2018Recently, high-entropy alloys (HEAs) attracted wide attention due to their extraordinary materials properties. A main challenge in identifying new HEAs is the lack of efficient approaches for exploring their huge compositional space. Ab initio calculations ... More

Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild backgroundSep 22 2016It has recently been demonstrated (Class. Quantum Grav. 31, 085010, 2014) that the conformally invariant wave equation on a Minkowski background can be solved with a fully pseudospectral numerical method. In particular, it is possible to include spacelike ... More

Ab initio vibrational free energies including anharmonicity for multicomponent alloysFeb 28 2019A density-functional-theory based approach to efficiently compute numerically exact vibrational free energies - including anharmonicity - for chemically complex multicomponent alloys is developed. It is based on a combination of thermodynamic integration ... More

A comparison of atomistic and continuum theoretical approaches to determine electronic properties of GaN/AlN quantum dotsNov 10 2008In this work we present a comparison of multiband k.p-models, the effective bond-orbital approach, and an empirical tight-binding model to calculate the electronic structure for the example of a truncated pyramidal GaN/AlN self-assembled quantum dot with ... More

Structural stability and thermodynamics of CrN magnetic phases from ab initio and experimentAug 14 2014The dynamical and thermodynamic phase stabilities of the stoichiometric compound CrN including different structural and magnetic configurations are comprehensively investigated using a first-principles density-functional-theory (DFT) plus U approach in ... More

Quantum-Confined Stark Effect in polar and nonpolar Wurtzite InN/GaN Heterostructures: Influence on Electronic Structure and Compensation by Coulomb AttractionJan 11 2013In this paper we systematically analyze the electronic structures of polar and nonpolar wurtzite-InN/GaN quantum dots and their modification due to the quantum-confined Stark effect caused by intrinsic fields. This is achieved by combining continuum elasticity ... More

Macroscopic Elastic Properties of Textured ZrN--AlN Polycrystalline Aggregates: From Ab initio Calculations to Grain-Scale InteractionsOct 16 2013Jul 09 2014Despite the fast development of computational materials modelling, theoretical description of macroscopic elastic properties of textured polycrystalline aggregates starting from basic principles remains a challenging task. In this communication we use ... More

Anomalous phonon lifetime shortening in paramagnetic CrN caused by magneto-lattice coupling: A combined spin and ab initio molecular dynamics studyFeb 08 2018We study the mutual coupling of spin fluctuations and lattice vibrations in paramagnetic CrN by combining atomistic spin dynamics and ab initio molecular dynamics. The two degrees of freedom are dynamically coupled leading to non-adiabatic effects. Those ... More

Modeling of grain boundary dynamics using amplitude equationsJul 16 2014Aug 18 2014We discuss the modelling of grain boundary dynamics within an amplitude equations description, which is derived from classical density functional theory or the phase field crystal model. The relation between the conditions for periodicity of the system ... More

Huygens' Dipole for Polarization-Controlled Nanoscale Light RoutingFeb 04 2019Structured illumination allows for satisfying the first Kerker condition of in-phase perpendicular electric and magnetic dipole moments in any isotropic scatterer that supports electric and magnetic dipolar resonances. The induced Huygens' dipole may ... More

Supercritical series expansion for the contact process in heterogeneous and disordered environmentsMay 14 2007The supercritical series expansion of the survival probability for the one-dimensional contact process in heterogeneous and disordered lattices is used for the evaluation of the loci of critical points and critical exponents $\beta$. The heterogeneity ... More

On computing the generalized Lambert seriesFeb 29 2012Jun 24 2012We show how the generalized Lambert series sum(n>=1, x*q^n/(1-x*q^n)) can be computed with Theta convergence. This allows the computation of the sum of the inverse Fibonacci numbers without splitting the sum into even and odd part. The method is a special ... More

Calculating initial data for the conformal Einstein equations by pseudo-spectral methodsJun 26 1998We present a numerical scheme for determining hyperboloidal initial data sets for the conformal field equations by using pseudo-spectral methods. This problem is split into two parts. The first step is the determination of a suitable conformal factor ... More

Natural domains for edge-degenerate differential operatorsJun 01 2010We study cone differential operators on the half-axis and edge-degenerate differential operators on a half-space. We construct subspaces of edge Sobolev spaces that can be considered as natural domains for edge-degenerate operators and indicate how they ... More

Comparison of methods to extract an asymmetry parameter from dataApr 06 2011Sep 27 2011Several methods to extract an asymmetry parameter in an event distribution function are discussed and compared in terms of statistical precision and applicability. These methods are: simple counting rate asymmetries, event weighting procedures and the ... More

Pták's nondiscrete induction and its application to matrix iterationsMay 12 2014Vlastimil Pt\'ak's method of nondiscrete induction is based on the idea that in the analysis of iterative processes one should aim at rates of convergence as functions rather than just numbers, because functions may give convergence estimates that are ... More

Wandering subspace property for homogeneous invariant subspacesJul 02 2018Sep 21 2018For graded Hilbert spaces $H$ and shift-like commuting tuples $T \in B(H)^n$, we show that each homogeneous joint invariant subspace $M$ of $T$ has finite index and is generated by its wandering subspace. Under suitable conditions on the grading $(H_k)_{k\geq ... More

A construction of singular overlapping asymmetric self-similar measuresOct 30 2018In [8] we found a class of overlapping asymmetric self-similar measures on the real line, which are generically absolutely continuous with respect to the Lebesgue measure. Here we construct exceptional measures in this class being singular.

Dimension theory for linear solenoidsJul 12 2018We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question whether there ... More

Dimension theoretical properties of generalized Baker's transformationsJul 12 2018We show that for generalized Baker's transformations there is a parameter domain where we have an absolutely continuous ergodic measure and in direct neighborhood there is a parameter domain where not even the variational principle for Hausdorff dimension ... More

Optimal Control of the Two-Dimensional Vlasov-Maxwell SystemSep 26 2018The time evolution of a collisionless plasma is modeled by the Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We only consider a 'two-dimensional' version of the problem ... More

Strong martingale type and uniform smoothnessJul 28 2004We introduce stronger versions of the usual notions of martingale type p <= 2 and cotype q >= 2 of a Banach space X and show that these concepts are equivalent to uniform p-smoothness and q-convexity, respectively. All these are metric concepts, so they ... More

Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interactionJun 01 2008May 25 2009A model for cooperative sequential adsorption that incorporates nearest-neighbor exclusion and next-nearest neighbor interaction is presented. It is analyzed for the case of one-dimensional dimer and two-dimensional monomer adsorption. Analytic solutions ... More

When is the (co)sine of a rational angle equal to a rational number?Jun 15 2010If the cosine of a rational multiple of $\pi$ is a rational number then it is an integral multiple of $\frac12$. For this fact, we give a proof accessible to an interested school student. We then discuss which quadratic and cubic irrationalities are values ... More

On the probability distribution function of the mass surface density of molecular clouds. IISep 19 2014The probability distribution function (PDF) of the mass surface density of molecular clouds provides essential information about the structure of molecular cloud gas and condensed structures out of which stars may form. In general, the PDF shows two basic ... More

Probing Color Response - Wakes in a Color PlasmaJun 30 2005The wake induced in a hot QCD medium by a high momentum parton (jet precursor) is calculated in the framework of linear response theory. Two different scenarios are discussed: a weakly coupled quark gluon plasma (pQGP) as described by hard-thermal loop ... More

Focus talk on interactions between jets and mediumSep 13 2005The energy and momentum lost by a hard parton propagating through hot and dense matter has to be redistributed during the nuclear medium evolution. Apart from heating the medium, there is the possibility that collective modes are excited leading to the ... More

A Suspension Lemma for Bounded PosetsMar 27 1997Let $P$ and $Q$ be bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part of $P$ being homotopy equivalent to the suspension of the proper part of~$Q$. An application of this lemma is a unified ... More

Matched $G^k$-constructions yield $C^k$-continuous iso-geometric elementsJun 17 2014Sep 10 2014The note shows how $G^k$ (geometrically continuous surface) constructions yield $C^k$ iso-geometric elements also at irregular quad mesh points where three or more than four elements come together.

Improved Method to extract Nucleon Helicity Distributions using Event WeightingOct 21 2016An improved analysis method to extract quark helicity distributions from semi-inclusive double spin asymmetries in deep inelastic scattering is presented. The method relies on the fact that fragmentation functions, describing the fragmentation of a quark ... More

New Gowdy-symmetric vacuum and electrovacuum solutionsJan 13 2016Jun 02 2016We construct a 4-parameter family of inhomogeneous cosmological models, which contains two recently derived 3-parameter families as special cases. The corresponding exact vacuum solution to Einstein's field equations is obtained with methods from soliton ... More

Gowdy-Symmetric Vacuum and Electrovacuum SolutionsOct 06 2015"Smooth Gowdy-symmetric generalized Taub-NUT solutions" are a class of inhomogeneous cosmological vacuum models with a past and a future Cauchy horizon. In this proceedings contribution, we present families of exact solutions within that class, which ... More

Geometric relations for rotating and charged AdS black holesFeb 21 2014Jun 16 2014We derive mass-independent equations and inequalities for Kerr-Newman-anti-de Sitter black holes. In particular, we obtain an equation that relates electric charge, angular momentum and the areas of the event and Cauchy horizons. An area-angular momentum-charge ... More

Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systemsJul 12 2018We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.

Weak Solutions of the Relativistic Vlasov-Maxwell System with External CurrentsFeb 07 2019The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We consider the case that the plasma consists of ... More

Intermediate extension of Chow motives of Abelian typeNov 22 2012Sep 23 2016In this article, we give an unconditional construction of a motivic analogue of the intermediate extension in the context of Chow motives of Abelian type. Our main application concerns intermediate extensions of Chow motives associated to Kuga families ... More

Ellipticity in Pseudodifferential Algebras of Toeplitz TypeAug 19 2011Let L^\star be a filtered algebra of abstract pseudodifferential operators equipped with a notion of ellipticity, and T^\star be a subalgebra of operators of the form P_1AP_0, where P_0 and P_1 are two projections. The elements of L^\star act as linear ... More

On Rigidity and the Albanese Variety for Parallelizable ManifoldsMay 05 1997We study the rigidity questions and the Albanese Variety for Complex Parallelizable Manifolds. Both are related to the study of the cohomology group $H^1(X,\mathcal O)$. In particular we show that a compact complex parallelizable manifold is rigid iff ... More

Flat Vector Bundles over Parallelizable ManifoldsMay 05 1997We study flat vector bundles over complex parallelizable manifolds.

Number theoretical peculiarities in the dimension theory of dynamical systemsJul 12 2018We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values

Deformations of Riemann SurfacesOct 26 2014We prove that every Riemann surface not isomorphic to the Riemann sphere admits an infinitesimal deformation of the complex structure. The proof is based in an investigation of the length of geodesics for the Kobayashi/Poincare metric.

More cubic surfaces violating the Hasse principleJun 14 2010We generalize L.J. Mordell's construction of cubic surfaces for which the Hasse principle fails.

Motivic intersection complexApr 01 2011Apr 28 2011In this article, we give an unconditional definition of the motivic analogue of the intersection complex, establish its basic properties, and prove its existence in certain cases.

On global regular solution branches and multiple solutions of the Boltzmann equationJan 06 2016Existence of global regular solution branches of the Boltzmann Cauchy problem with continuously differentiable data in phase space dimension $2d\geq 6$ with polynomial decay at infinity of order greater than $2d$ is proved. There are data in this class ... More

Spin ladders with nonmagnetic impuritiesAug 22 1996We investigate antiferromagnetic spin ladders with nonmagnetic impurities by variational and numerical (Lanczos and DMRG) methods. The interaction between the two unpaired spins opposite to the impurities is described by an effective exchange interaction ... More

Measurement of Permanent Electric Dipole Moments of Charged Hadrons in Storage RingsJan 14 2013Jul 30 2013Permanent Electric Dipole Moments (EDMs) of elementary particles violate two fundamental symmetries: time reversal invariance (T) and parity (P). Assuming the CPT theorem this implies CP-violation. The CP-violation of the Standard Model is orders of magnitude ... More

The algebraic theory of Kreck surgeryApr 21 2004In the 1980s Matthias Kreck developed a modified surgery theory with obstructions in a hardly understood monoid $l_n(Z[\pi])$. This paper presents a couple of purely algebraic tools to find out whether an element in $l_{2q}(R)$ is "elementary" i.e. whether ... More

Truncated Variational Expectation MaximizationOct 10 2016We derive a novel variational expectation maximization approach based on truncated variational distributions. The truncated distributions are proportional to exact posteriors in a subset of a discrete state space and equal zero otherwise. In contrast ... More

Some Facets of Complexity Theory and Cryptography: A Five-Lectures TutorialNov 21 2001Dec 20 2002In this tutorial, selected topics of cryptology and of computational complexity theory are presented. We give a brief overview of the history and the foundations of classical cryptography, and then move on to modern public-key cryptography. Particular ... More

Exact Complexity of Exact-Four-ColorabilitySep 14 2001Let $M_k \seq \nats$ be a given set that consists of $k$ noncontiguous integers. Define $\exactcolor{M_k}$ to be the problem of determining whether $\chi(G)$, the chromatic number of a given graph $G$, equals one of the $k$ elements of the set $M_k$ exactly. ... More

The general classical solution of the superparticleJul 08 1994The theory of vectors and spinors in 9+1 dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra $\Cl(9,1)$. The general solution of the classical equations of motion of the ... More

Weights and conservativitySep 11 2015Sep 21 2016The purpose of this article is to study conservativity in the context of triangulated categories equipped with a weight structure. As application, we establish (weight) conservativity for the restriction of the (generic) l-adic realization to the category ... More

k-Disjunctive cuts and a finite cutting plane algorithm for general mixed integer linear programsJul 26 2007In this paper we give a generalization of the well known split cuts of Cook, Kannan and Schrijver to cuts which are based on multi-term disjunctions. They will be called k-disjunctive cuts. The starting point is the question what kind of cuts is needed ... More

Fractal attractors induced by β-shiftsJul 12 2018Oct 25 2018We describe a class of fractal attractors induced by \beta-shifts. We use a coding by these shifts to show that the systems are mixing with topological entropy log \beta and have an ergodic measure of full entropy. Moreover we determine the Hausdorff ... More

Refinability of splines derived from regular tessellationsOct 19 2012Dec 09 2012Splines can be constructed by convolving the indicator function of a cell whose shifts tessellate $\R^k$. This paper presents simple, non-algebraic criteria that imply that, for regular shift-invariant tessellations, only a small subset of such spline ... More

Tame Discrete Sets in Algebraic GroupsJan 25 2019Rosay and Rudin introduced the notion of Tame discrete subsets of the affine complex space and investigated their properties. We generalize this theory to the case of a complex linear algebraic group with trivial character group.

Computing SIAC spline coefficientsOct 01 2014The Discontinuous Galerkin (DG) method applied to hyperbolic differential equations outputs weakly-linked polynomial pieces. Post-processing these pieces by Smoothness-Increasing Accuracy-Conserving (SIAC) convolution with B-splines can improve the accuracy ... More

Weights and conservativitySep 11 2015Oct 18 2018The purpose of this article is to study conservativity in the context of triangulated categories equipped with a weight structure. As application, we establish (weight) conservativity for the restriction of the (generic) l-adic realization to the category ... More

Some remarks on depth of dead ends in groupsMar 21 2007Mar 22 2007It is known, that the existence of dead ends (of arbitrary depth) in the Cayley graph of a group depends on the chosen set of generators. Nevertheless there exist many groups, which do not have dead ends of arbitrary depth with respect to any set of generators. ... More

The UMD constants of the summation operatorsJul 28 2004The UMD property of a Banach space is one of the most useful properties when one thinks about possible applications. This is in particular due to the boundedness of the vector-valued Hilbert transform for functions with values in such a space. Looking ... More

{110} planar faults in strained bcc metals: Origins and implications of a commonly observed artifact of classical potentialsOct 03 2018Large-scale atomistic simulations with classical potentials can provide valuable insights into microscopic deformation mechanisms and defect-defect interactions in materials. Unfortunately, these assets often come with the uncertainty of whether the observed ... More

Measuring the Transverse Spin Density of LightNov 17 2014We generate tightly focused optical vector beams whose electric fields spin around an axis transverse to the beams' propagation direction. We experimentally investigate these fields by exploiting the directional near-field interference of a dipole-like ... More

The contact process in heterogeneous and weakly-disordered systemsMay 29 2006The critical behavior of the contact process (CP) in heterogeneous periodic and weakly-disordered environments is investigated using the supercritical series expansion and Monte Carlo (MC) simulations. Phase-separation lines and critical exponents $\beta$ ... More

The Unusual Near-Infrared Morphology of the Radio Loud Quasar 4C+09.17May 10 1997Near-infrared images of the luminous, high redshift (z=2.1108) radio loud quasar 4C+09.17 reveal a complex structure. The quasar (K=15.76 mag) is surrounded by three "companion" objects having 17.9< K < 20.2 mag at radii of 1.7" < r < 2.9", as well as ... More

Mirror-Symmetric Heterogeneous Resonant Nanostructures: Extrinsic Chirality and Spin-Polarized ScatteringApr 11 2018We investigate a geometrically symmetric gold-silicon sphere heterodimer and reveal its extrinsic chiroptical response caused by the interaction with a substrate. The chiroptical response is obtained for oblique incidence owing to the coalescence of extrinsic ... More

Polarization Controlled Directional Scattering for Nanoscopic Position SensingNov 06 2015Feb 01 2016Controlling the propagation and coupling of light to sub-wavelength antennas is a crucial prerequisite for many nanoscale optical devices. Recently, the main focus of attention has been directed towards high-refractive-index materials such as silicon ... More

Studying null and time-like geodesics in the classroomApr 30 2011In a first course of general relativity it is usually quite difficult for students to grasp the concept of a geodesic. It is supposed to be straight (auto-parallel) and yet it 'looks' curved. In these situations it is very useful to have some explicit ... More

Algebraic stability analysis of constraint propagationOct 20 2004Aug 12 2005The divergence of the constraint quantities is a major problem in computational gravity today. Apparently, there are two sources for constraint violations. The use of boundary conditions which are not compatible with the constraint equations inadvertently ... More

Top-heavy IMFs in ultra compact dwarf galaxies?Jan 18 2012Ultra compact dwarf galaxies (UCDs) are dense stellar systems at the border between massive star-clusters and small galaxies. Their on average high optical mass-to-light (M/L) ratio cannot be explained by stellar populations with the canonical stellar ... More

Nonlinear evolution of electron shear flow instabilities in the presence of an external guide magnetic fieldAug 08 2016The dissipation mechanism by which the magnetic field reconnects in the presence of an external (guide) magnetic field in the direction of the main current is not well understood. In thin electron current sheets (ECS) (thickness ~ an electron inertial ... More

Effect of guide field on three dimensional electron shear flow instabilities in collisionless magnetic reconnectionNov 12 2014Apr 06 2015We examine the effect of an external guide field and current sheet thickness on the growth rates and nature of three dimensional unstable modes of an electron current sheet driven by electron shear flow. The growth rate of the fastest growing mode drops ... More

Stochastic Load-Redistribution Model for Cascading Failure PropagationSep 23 2009Jan 28 2010A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches. Specifically, it ... More

Current Redistribution in Resistor Networks: Fat-Tail Statistics in Regular and Small-World NetworksOct 21 2016The redistribution of electrical currents in resistor networks after single-bond failures is analyzed in terms of current-redistribution factors that are shown to depend only on the topology of the network and on the values of the bond resistances. We ... More

False-Name Manipulation in Weighted Voting Games is Hard for Probabilistic Polynomial TimeMar 07 2013False-name manipulation refers to the question of whether a player in a weighted voting game can increase her power by splitting into several players and distributing her weight among these false identities. Analogously to this splitting problem, the ... More

Time-resolved analysis of strong-field induced plasmon oscillations in metal clusters by spectral interferometry with few-cycle laser fieldsNov 04 2010Feb 10 2011We propose a scheme for ultrafast real-time imaging of laser-induced collective electron oscillations (Mie plasmons) in gas phase metal clusters by interferometrically stable scanning of two intense few-cycle optical laser pulses. The feasibility of our ... More

General Upper Bounds on the Running Time of Parallel Evolutionary AlgorithmsJun 15 2012We present a new method for analyzing the running time of parallel evolutionary algorithms with spatially structured populations. Based on the fitness-level method, it yields upper bounds on the expected parallel running time. This allows to rigorously ... More

Violating the no-signaling principle with classical inseparable beams in an optical parity-time symmetric systemSep 05 2016We show that the no-signaling principle can be violated with classical inseparable beams in the presence of a parity-time (PT) symmetric subsystem. Thus, the problems associated to PT-symmetric quantum theories recently discovered by Lee et al. [Phys. ... More

Non-linear absorption and density dependent dephasing in Rydberg EIT-mediaMay 07 2013Oct 15 2013Light propagation through an ensemble of ultra-cold Rydberg atoms in electromagnetically induced transparency (EIT) configuration is studied. In strongly interacting Rydberg EIT media, non-linear optical effects lead to a non-trivial dependence of the ... More

Nonlinear Effects in Pulse Propagation through Doppler-Broadened Closed-Loop Atomic MediaNov 26 2007Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\Lambda$-type systems are studied theoretically. We apply three continous-wave driving fields and a pulsed probe field such that they form a closed interaction loop. ... More

Autonomous Cleaning of Corrupted Scanned Documents - A Generative Modeling ApproachJan 12 2012Jul 02 2012We study the task of cleaning scanned text documents that are strongly corrupted by dirt such as manual line strokes, spilled ink etc. We aim at autonomously removing dirt from a single letter-size page based only on the information the page contains. ... More

Mosco Type Convergence of Bilinear Forms and Weak Convergence of $n$-Particle SystemsSep 21 2012Feb 09 2015It is well known that Mosco (type) convergence is a tool in order to verify weak convergence of finite dimensional distributions of sequences of stochastic processes. In the present paper we are concerned with the concept of Mosco type convergence for ... More

Random Diophantine inequalities of additive typeOct 16 2011Using the Davenport-Heilbronn circle method, we show that for almost all additive Diophantine inequalities of degree $k$ in more than $2k$ variables the expected asymptotic formula for the density of solutions holds true. This appears to be the first ... More

Distribution results on polynomials with bounded rootsSep 22 2016Apr 21 2017For $d \in \mathbb{N}$ the well-known Schur-Cohn region $\mathcal{E}_d$ consists of all $d$-dimensional vectors $(a_1,\ldots,a_d)\in\mathbb{R}^d$ corresponding to monic polynomials $X^d+a_1X^{d-1}+\cdots+a_{d-1}X+a_d$ whose roots all lie in the open unit ... More

Absolute Continuity under Time Shift for Ornstein-Uhlenbeck type Processes with Delay or AnticipationNov 27 2014The paper is concerned with one-dimensional two-sided Ornstein-Uhlenbeck type processes with delay or anticipation. We prove existence and uniqueness requiring almost sure boundedness on the left half-axis in case of delay and almost sure boundedness ... More

Bounded $H_\infty$-calculus for cone differential operatorsJun 22 2017We prove that parameter-elliptic extensions of cone differential operators have a bounded $H_\infty$-calculus. Applications concern the Laplacian and the porous medium equation on manifolds with warped conical singularities.

The Hasse principle for lines on del Pezzo surfacesOct 21 2014Feb 25 2015In this paper, we consider the following problem: Does there exist a cubic surface over $\mathbb{Q}$ which contains no line over $\mathbb{Q}$, yet contains a line over every completion of $\mathbb{Q}$? This question may be interpreted as asking whether ... More

On the number of certain Del Pezzo surfaces of degree four violating the Hasse principleJul 14 2015We give an asymptotic expansion for the density of del Pezzo surfaces of degree four in a certain Birch Swinnerton-Dyer family violating the Hasse principle due to a Brauer-Manin obstruction. Under the assumption of Schinzel's hypothesis and the finiteness ... More

Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision KernelNov 11 2017Jul 29 2018We investigate the Boltzmann equation with spatial smearing, diffusive boundary conditions, and Lions' collision kernel. Both, the physical as well as the velocity space, are assumed to be bounded. Existence and uniqueness of a stationary solution, which ... More