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Improved spatial separation of neutral moleculesApr 28 2017Jul 04 2017We have developed and experimentally demonstrated an improved electrostatic deflector for the spatial separation of molecules according to their dipole-moment-to-mass ratio. The device features a very open structure that allows for significantly stronger ... More

Adiabatic mixed-field orientation of ground-state-selected carbonyl sulfide moleculesJul 19 2016Aug 15 2016We experimentally demonstrated strong adiabatic mixed-field orientation of carbonyl sulfide molecules (OCS) in their absolute ground state of $\text{N}_{\text{up}}/\text{N}_{\text{tot}}=0.882$. OCS was oriented in combined non-resonant laser and static ... More

Photophysics of indole upon x-ray absorptionFeb 08 2018Jul 19 2018A photofragmentation study of gas-phase indole (C$_8$H$_7$N) upon single-photon ionization at a photon energy of 420 eV is presented. Indole was primarily inner-shell ionized at its nitrogen and carbon $1s$ orbitals. Electrons and ions were measured in ... More

Strongly aligned and oriented molecular samples at a kHz repetition rateJan 09 2013May 23 2013We demonstrate strong adiabatic laser alignment and mixed-field orientation at kHz repetition rates. We observe degrees of alignment as large as cos\Theta=0.94 at 1 kHz operation for iodobenzene. The experimental setup consist of a kHz laser system simultaneously ... More

Two-state wave packet for strong field-free molecular orientationSep 09 2014Jan 25 2015We demonstrate strong laser-field-free orientation of absolute-ground-state carbonyl sulfide molecules. The molecules are oriented by the combination of a 485-ps-long non-resonant laser pulse and a weak static electric field. The edges of the laser pulse ... More

Numerical integration for fractal measuresJun 08 2016May 08 2018We find estimates for the error in replacing an integral $\int f d\mu$ with respect to a fractal measure $\mu$ with a discrete sum $\sum_{x \in E} w(x) f(x)$ over a given sample set $E$ with weights $w$. Our model is the classical Koksma-Hlawka theorem ... More

On critical scaling at the QCD N_f=2 chiral phase transitionJun 14 2011We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reaction effects of pions and the sigma onto the quark to ... More

Beyond Miransky ScalingDec 20 2010We study the scaling behavior of physical observables in strongly-flavored asymptotically free gauge theories, such as many-flavor QCD. Such theories approach a quantum critical point when the number of fermion flavors is increased. It is well-known that ... More

Quark condensates and the deconfinement transitionAug 18 2009In this talk we present results on the chiral and the deconfinement transition of quenched QCD from Dyson-Schwinger equations. We determine the ordinary quark condensate signaling the chiral transition and the dual quark condensate signaling the deconfinement ... More

Correlated entanglement distillation and the structure of the set of undistillable statesSep 24 2007Aug 25 2013We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker assumption of merely ... More

Dual order parameters and the deconfinement transitionOct 29 2009We investigate the chiral and the deconfinement transition within the framework of Dyson-Schwinger equations using quenched lattice data for the temperature dependent gluon propagator as input. We extract corresponding order parameters from the Landau ... More

Chiral and deconfinement transition from Dyson-Schwinger equationsJul 31 2009Oct 29 2009We determine the quark condensate and the dressed Polyakov loop from the finite temperature Landau gauge quark propagator evaluated with U(1)-valued boundary conditions in an approximation to quenched QCD. These gauge invariant quantities allow for an ... More

Flow past superhydrophobic surfaces with cosine variation in local slip lengthDec 08 2012Anisotropic super-hydrophobic surfaces have the potential to greatly reduce drag and enhance mixing phenomena in microfluidic devices. Recent work has focused mostly on cases of super-hydrophobic stripes. Here, we analyze a relevant situation of cosine ... More

The optimal unitary dilation for bosonic Gaussian channelsSep 06 2010A generic quantum channel can be represented in terms of a unitary interaction between the information-carrying system and a noisy environment. Here, the minimal number of quantum Gaussian environmental modes required to provide a unitary dilation of ... More

Generalized Archimedes' principle in active fluidsMar 21 2017Sep 30 2017We show how a gradient in the motility properties of non-interacting point-like active particles can cause a pressure gradient that pushes a large inert object. We calculate the force on an object inside a system of active particles with position dependent ... More

Forces in inhomogeneous open active-particle systemsAug 17 2017Mar 05 2018We study the force that non-interacting point-like active particles apply to a symmetric inert object in the presence of a gradient of activity and particle sources and sinks. We consider two simple patterns of sources and sinks that are common in biological ... More

Photophysics of indole upon x-ray absorptionFeb 08 2018A photofragmentation study of gas-phase indole (C$_8$H$_7$N) upon single-photon ionization at a photon energy of 420 eV is presented. Indole was primarily inner-shell ionized at its nitrogen and carbon $1s$ orbitals. Electrons and ions were measured in ... More

Optimal Placement of Origins for DNA ReplicationFeb 02 2012DNA replication is an essential process in biology and its timing must be robust so that cells can divide properly. Random fluctuations in the formation of replication starting points, called origins, and the subsequent activation of proteins lead to ... More

Current-induced gap opening in interacting topological insulator surfacesJan 23 2019Two-dimensional topological insulators (TIs) host gapless helical edge states that are predicted to support a quantized two-terminal conductance. Quantization is protected by time-reversal symmetry, which forbids elastic backscattering. Paradoxically, ... More

Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor NetworksApr 05 2017Sep 22 2017We present a scalable architecture for fault-tolerant topological quantum computation using networks of voltage-controlled Majorana Cooper pair boxes, and topological color codes for error correction. Color codes have a set of transversal gates which ... More

Cooperative single-photon subradiant statesMar 03 2016Jun 21 2016We propose a set of subradiant states which can be prepared and detected in a one-dimensional optical lattice. We find that the decay rates are highly dependent on the spatial phases imprinted on the atomic chain, which gives systematic investigations ... More

Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potentialApr 08 2011Aug 30 2011We present results for the chiral and deconfinement transition of two flavor QCD at finite temperature and chemical potential. To this end we study the quark condensate and its dual, the dressed Polyakov loop, with functional methods using a set of Dyson-Schwinger ... More

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)Mar 09 2010Sep 20 2010We study a gauge invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang-Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon ... More

Analysis of Spatio-Temporal Preferences and Encounter Statistics for DTN PerformanceJul 06 2010Spatio-temporal preferences and encounter statistics provide realistic measures to understand mobile user's behavioral preferences and transfer opportunities in Delay Tolerant Networks (DTNs). The time dependent behavior and periodic reappearances at ... More

Which point sets admit a k-angulation?Mar 16 2012Jan 23 2013For k >= 3, a k-angulation is a 2-connected plane graph in which every internal face is a k-gon. We say that a point set P admits a plane graph G if there is a straight-line drawing of G that maps V(G) onto P and has the same facial cycles and outer face ... More

M-brane singularity formationDec 09 2008We derive self-similar string solutions in a graph representation, near the point of singularity formation, which can be shown to extend to point-like singularities on M-branes, as well as to the radially symmetric case.

Imaging Molecular Structure through Femtosecond Photoelectron Diffraction on Aligned and Oriented Gas-Phase MoleculesJul 29 2014This paper gives an account of our progress towards performing femtosecond time-resolved photoelectron diffraction on gas-phase molecules in a pump-probe setup combining optical lasers and an X-ray Free-Electron Laser. We present results of two experiments ... More

Large-eddy simulations of isolated disc galaxies with thermal and turbulent feedbackMay 23 2014Jun 19 2014We present a subgrid-scale model for the Multi-phase Interstellar medium, Star formation, and Turbulence (MIST) and explore its behaviour in high-resolution large-eddy simulations of isolated disc galaxies. MIST follows the evolution of a clumpy cold ... More

Quark spectral properties above Tc from Dyson-Schwinger equationsSep 20 2010We report on an analysis of the quark spectral representation at finite temperatures based on the quark propagator determined from its Dyson-Schwinger equation in Landau gauge. In Euclidean space we achieve nice agreement with recent results from quenched ... More

Chiral spin-wave excitations of the spin-5/2 trimers in the langasite compound Ba3NbFe3Si2O14Jun 06 2011The inelastic scattering of neutrons from magnetic excitations in the antiferromagnetic phase of the langasite compound Ba3NbFe3Si2O14 is analyzed theoretically. In the calculations presented, the strongly coupled spin-5/2 Fe triangles are accounted for ... More

Theory of Drop FormationNov 02 2001We consider the motion of an axisymmetric column of Navier-Stokes fluid with a free surface. Due to surface tension, the thickness of the fluid neck goes to zero in finite time. After the singularity, the fluid consists of two halves, which constitute ... More

Air entrainment through free-surface cuspsNov 14 2000In many industrial processes, such as pouring a liquid or coating a rotating cylinder, air bubbles are entrapped inside the liquid. We propose a novel mechanism for this phenomenon, based on the instability of cusp singularities that generically form ... More

Singularities in droplet pinching with vanishing viscosityApr 30 1997Jan 26 1999A slender-jet model for the pinching of a liquid column is considered in the limit of vanishing viscosity. We find the model to develop a singularity in the gradients of the local radius and the velocity at a finite thread radius, so it does not describe ... More

Borchers' Commutation Relations for Sectors with Braid Group Statistics in Low DimensionsJun 11 2008Jul 10 2008Borchers has shown that in a translation covariant vacuum representation of a theory of local observables with positive energy the following holds: The (Tomita) modular objects associated with the observable algebra of a fixed wedge region give rise to ... More

A Serre-Swan theorem for bundles of bounded geometryFeb 14 2013The Serre-Swan theorem in differential geometry establishes an equivalence between the category of smooth vector bundles over a smooth compact manifold and the category of finitely generated projective modules over the unital ring of smooth functions. ... More

Asymptotic properties of solutions to weakly dissipative wave equations below scalingJun 25 2004Jul 27 2004The aim of this paper is to understand the influence of a dissipative term which is small in the sense that it is asymptotically below scaling on the asymptotic properties of solutions. A diagonalization procedure is applied in order to construct the ... More

Fine-scale statistics for the multidimensional Farey sequenceJul 04 2012We generalize classical results on the gap distribution (and other fine-scale statistics) for the one-dimensional Farey sequence to arbitrary dimension. This is achieved by exploiting the equidistribution of horospheres in the space of lattices, and the ... More

Exterior powers of F-zipsSep 16 2014An F-zip over a field of positive characteristic is a vector space together with two filtrations whose subquotients are related in a certain way. We will define the category of F-zips and some basic constructions in it, especially exterior powers. If ... More

Quantum LeaksMar 28 2005We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity--provided there is no extreme level clustering--and thus rule out quantum unique ergodicity for such systems. The construction is elementary ... More

Selberg's trace formula: an introductionJul 16 2004Feb 13 2008These lecture notes provide a basic introduction to Selberg's trace formula. We discuss the simplest possible case: the spectrum of the Laplacian on a compact Riemannian surface of constant negative curvature. (To appear in Springer LNP.)

On modular semifinite index theoryNov 28 2011We propose a definition of a modular spectral triple which covers existing examples arising from KMS-states, Podles sphere and quantum SU(2). The definition also incorporates the notion of twisted commutators appearing in recent work of Connes and Moscovici. ... More

A non-periodic and two-dimensional example of elliptic homogenizationNov 25 2008Aug 13 2009The focus in this paper is on elliptic homogenization of a certain kind of possibly non-periodic problems. A non-periodic and two-dimensional example is studied, where we numerically illustrate the homogenized matrix.

On harmonic and asymptotically harmonic homogeneous spacesSep 20 2004Oct 04 2005We classify noncompact homogeneous spaces which are Einstein and asymptotically harmonic. This completes the classification of Riemannian harmonic spaces in the homogeneous case: Any simply connected homogeneous harmonic space is flat, or rank-one symmetric, ... More

Toward a description of contact line motion at higher capillary numbersDec 31 2003The surface of a liquid near a moving contact line is highly curved owing to diverging viscous forces. Thus, microscopic physics must be invoked at the contact line and matched to the hydrodynamic solution farther away. This matching has already been ... More

Hydrodynamic theory of de-wettingDec 24 2003A prototypical problem in the study of wetting phenomena is that of a solid plunging into or being withdrawn from a liquid bath. In the latter, de-wetting case, a critical speed exists above which a stationary contact line is no longer sustainable and ... More

Dynamics of nanojetsJan 02 2002We study the breakup of a liquid jet a few nanometers in diameter, based on a stochastic differential equation derived recently by Moseler and Landman [Science {\bf 289}, 1165 (2000)]. In agreement with their simulations, we confirm that noise qualitatively ... More

Inverting the spherical Radon transform for physically meaningful functionsJul 28 2003In this paper we refer to the reconstruction formulas given in L.-E. Andersson's On the determination of a function from spherical averages, which are often used in applications such as SAR and SONAR. We demonstrate that the first one of these formulas ... More

Designs and codes in affine geometryMay 12 2016May 23 2016Classical designs and their (projective) q-analogs can both be viewed as designs in matroids, using the matroid of all subsets of a set and the matroid of linearly independent subsets of a vector space, respectively. Another natural matroid is given by ... More

Anisotropic thermo-elasticity in 2D -- Part II: ApplicationsAug 02 2007Nov 15 2007In this note we present concrete applications of the general treatment of anisotropic thermo-elasticity developed in Part I.

Entry and return times for semi-flowsMay 09 2016Dec 05 2016Haydn, Lacroix and Vaienti [Ann. Probab. 33 (2005)] proved that, for a given ergodic map, the entry time distribution converges in the small target limit, if and only if the corresponding return time distribution converges. The present note explains how ... More

The CPT and Bisognano-Wichmann Theorems for Anyons and Plektons in d=2+1Feb 25 2009Feb 26 2009We prove the Bisognano-Wichmann and CPT theorems for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory, assuming Poincare covariance and asymptotic ... More

On Some Microlocal Properties of the Range of a Pseudo-Differential Operator of Principal TypeMar 08 2010Jun 13 2011The purpose of this paper is to obtain microlocal analogues of results by L. H \"ormander about inclusion relations between the ranges of first order differential operators with coefficients in $C^\infty$ which fail to be locally solvable. Using similar ... More

Generalized axially symmetric potentials with distributional boundary valuesNov 16 2014Nov 12 2015We study a counterpart of the classical Poisson integral for a family of weighted Laplace differential equations in Euclidean half space, solutions of which are known as generalized axially symmetric potentials. These potentials appear naturally in the ... More

On the existence of the Moller wave operator for wave equations with small dissipative termsOct 07 2002Oct 20 2002The aim of this short note is to reconsider and to extend a former result of K. Mochizuki on the existence of the scattering operator for wave equations with small dissipative terms. Contrary to the approach used by Mochizuki we construct the wave operator ... More

Block-diagonalisation of matrices and operatorsOct 14 2008In this short note we deal with a constructive scheme to decompose a continuous family of matrices $A(\rho)$ asymptotically as $\rho\to0$ into blocks corresponding to groups of eigenvalues of the limit matrix A(0). We also discuss the extension of the ... More

The low-density limit of the Lorentz gas: periodic, aperiodic and randomApr 12 2014The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical scatterers. ... More

Solution Representations for a Wave Equation with Weak DissipationOct 02 2002We consider the Cauchy problem for the weakly dissipative wave equation $$ \bx v+\frac\mu{1+t}v_t=0, \qquad x\in\R^n,\quad t\ge 0, $$ parameterized by $\mu>0$, and prove a representation theorem for its solution using the theory of special functions. ... More

Pair correlation densities of inhomogeneous quadratic forms IIOct 14 2002Denote by $\| \cdot \|$ the euclidean norm in $\RR^k$. We prove that the local pair correlation density of the sequence $\| \vecm -\vecalf \|^k$, $\vecm\in\ZZ^k$, is that of a Poisson process, under diophantine conditions on the fixed vector $\vecalf\in\RR^k$: ... More

On Vassiliev Invariants not Coming from Semisimple Lie AlgebrasJun 04 1997Feb 05 2000We prove a refinement of Vogel's statement that the Vassiliev invariants of knots coming from semisimple Lie algebras do not generate all Vassiliev invariants. This refinement takes into account the second grading on Vassiliev invariants induced by cabling ... More

Electroweak Standard Model and Precision TestsDec 18 2002Dec 29 2002I give an introduction and overview of recent developments in high precision tests of the Standard Model. This includes a summary of Z-pole measurements, a brief account of the NuTeV result on neutrino-nucleon scattering, the anomalous magnetic moment ... More

The Mass of the Higgs Boson in the Standard Electroweak ModelFeb 05 2010Mar 16 2010An updated global analysis within the Standard Model (SM) of all relevant electroweak precision and Higgs boson search data is presented with special emphasis on the implications for the Higgs boson mass, M_H. Included are, in particular, the most recent ... More

Spin beyond Standard Model: TheoryJan 29 2009Mar 11 2009I use spin as a guide through the labyrinth of possibilities and ideas that go beyond the established understanding of the fundamental interactions.

Electroweak Theory for the Tevatron, LHC, and ILCSep 13 2008Oct 13 2008Future high precision electroweak measurements require understanding of Standard Model expectations to multi-loop accuracy, both, for the predictions of production cross-sections of signal and background, as well as for pseudo-observables. I review recent ... More

Precision Electroweak PhysicsApr 04 2006The status in electroweak precision physics is reviewed. I present a brief summary of the latest data, global fit results, a few implications for new physics, and an outlook.

Determinations of alpha(M_Z): Comparison and ProspectsOct 31 2001I review and compare various techniques to obtain the value of the QED coupling, alpha, at the Z pole. GigaZ precisions would require a much more accurate determination than available today. A combination of the virtues of current methods may help to ... More

A calculation of the multiplicative characterMar 20 2009We give a formula, in terms of products of commutators, for the application of the odd multiplicative character to higher Loday symbols. On our way we construct a product on the relative K-groups and investigate the multiplicative properties of the relative ... More

Comparison of secondary invariants of algebraic K-theoryApr 10 2008Jan 27 2011In this paper we prove that the multiplicative character of A. Connes and M. Karoubi and the determinant invariant of L. G. Brown, J. W. Helton and R. E. Howe agree up to a canonical homomorphism.

Quantum Group Generators in Conformal Field TheoryMar 12 1997These are notes of a seminar given at the 30th International Symposium on the Theory of Elementary Particles, Berlin-Buckow, August 1996. The material is derived from collaborations with E. Cremmer and J.-L. Gervais, and C. Klimcik, and is partially new. ... More

Differentiable absorption of Hilbert C*-modules, connections, and lifts of unbounded operatorsJul 05 2014The Kasparov absorption (or stabilization) theorem states that any countably generated Hilbert C*-module is isomorphic to a direct summand in the standard module of square summable sequences in the base C*-algebra. In this paper, this result will be generalized ... More

The asymptotic distribution of Frobenius numbersFeb 20 2009Mar 22 2010The Frobenius number F(a) of an integer vector a with positive coprime coefficients is defined as the largest number that does not have a representation as a positive integer linear combination of the coefficients of a. We show that if a is taken to be ... More

Multivariate Normal Approximation for functionals of random polytopesApr 01 2019Consider the random polytope, that is given by the convex hull of a Poisson point process on a smooth convex body in $\mathbb{R}^d$. We prove central limit theorems for continuous motion invariant valuations including the Will's functional and the intrinsic ... More

The influence of time-periodic dissipation on energy and dispersive estimatesOct 17 2005Aug 21 2007In this short note we discuss the influence of a time-periodic dissipation term on a-priori estimates for solutions to dissipative wave equations. The approach is based on a diagonalisation argument for high frequencies and results from spectral theory ... More

Negative Absolute Temperature for Motional Degrees of FreedomNov 02 2012Absolute temperature, the fundamental temperature scale in thermodynamics, is usually bound to be positive. Under special conditions, however, negative temperatures - where high-energy states are more occupied than low-energy states - are also possible. ... More

Numerical approaches to time evolution of complex quantum systemsJul 17 2009We examine several numerical techniques for the calculation of the dynamics of quantum systems. In particular, we single out an iterative method which is based on expanding the time evolution operator into a finite series of Chebyshev polynomials. The ... More

Learning to Navigate: Exploiting Deep Networks to Inform Sample-Based Planning During Vision-Based NavigationJan 16 2018Recent applications of deep learning to navigation have generated end-to-end navigation solutions whereby visual sensor input is mapped to control signals or to motion primitives. The resulting visual navigation strategies work very well at collision ... More

Dosage-dependent NF-kB oscillatory and heterogeneous dynamics in response to E. Coli Lipopolyssachride stimulationOct 11 2010Jan 26 2011This paper has been withdrawn by the author.

Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped planeDec 01 2013Jan 03 2014By means of lattice-Boltzmann simulations the drag force on a sphere of radius R approaching a superhydrophobic striped wall has been investigated as a function of arbitrary separation h. Superhydrophobic (perfect-slip vs. no-slip) stripes are characterized ... More

Multi-criteria Similarity-based Anomaly Detection using Pareto Depth AnalysisAug 20 2015We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. Similarity-based anomaly detection algorithms detect abnormally large amounts of similarity or dissimilarity, e.g.~as ... More

Characterizing microstructure of living tissues with time-dependent diffusionOct 10 2012Molecular diffusion measurements are widely used to probe microstructure in materials and living organisms noninvasively. The precise relation of diffusion metrics to microstructure remains a major challenge: In complex samples, it is often unclear which ... More

Thoughts on Barnette's ConjectureDec 13 2013We prove a new sufficient condition for a cubic 3-connected planar graph to be Hamiltonian. This condition is most easily described as a property of the dual graph. Let $G$ be a planar triangulation. Then the dual $G^*$ is a cubic 3-connected planar graph, ... More

Subradiance dynamics in a singly-excited chiral-coupled atomic chainMay 02 2019We theoretically investigate the subradiance dynamics in a nonreciprocal chiral-coupled atomic chain, in which infinite-range dipole-dipole interaction emerges in the dissipation. We find that super- and subradiance are both present in the dissipation ... More

Random walk with barriers: Diffusion restricted by permeable membranesApr 15 2010Sep 20 2010Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using a bulk transport ... More

Evolution of Fermion Pairing from Three to Two DimensionsOct 13 2011Jan 18 2012We follow the evolution of fermion pairing in the dimensional crossover from 3D to 2D as a strongly interacting Fermi gas of $^6$Li atoms becomes confined to a stack of two-dimensional layers formed by a one-dimensional optical lattice. Decreasing the ... More

The motion of chondrules and other particles in a protoplanetary disc with temperature fluctuationsSep 07 2016Sep 28 2016We consider the mechanism of photophoretic transport in protoplanetary disks that are optically thick to radiation. Here, photophoresis is not caused by the central star but by temperature fluctuations that subject suspended solid particles, including ... More

A statistical study of SDSS radio-emittersMar 01 2013The cross-correlation of the Sloan Digital Sky Survey Data Release 7 with the Faint Images of the Radio Sky at Twenty-Centimeters survey allows for a multiwavelength statistical study of radio-optical galaxy properties on a very large number of sources. ... More

A low-luminosity type-1 QSO sample - A morphological study of nearby AGN hostsJul 03 2013There is growing evidence that every galaxy with a considerable spheroidal component hosts a supermassive black hole (SMBH) at its center. Strong correlations between the SMBH and the spheroidal component suggest a physical connection through a coevolutionary ... More

Entangled inputs cannot make imperfect quantum channels perfectOct 25 2010Aug 25 2013Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer the converse ... More

Chemically consistent evolution of galaxies: II. Spectrophotometric evolution from zero to high redshiftSep 25 2003Sep 29 2003We present a new generation of chemically consistent evolutionary synthesis models for galaxies of various spectral types from E through Sd. The models follow the chemical enrichment of the ISM and take into account the increasing initial metallicity ... More

A cross-center smoothness prior for variational Bayesian brain tissue segmentationMar 11 2019Suppose one is faced with the challenge of tissue segmentation in MR images, without annotators at their center to provide labeled training data. One option is to go to another medical center for a trained classifier. Sadly, tissue classifiers do not ... More

Multi-criteria Anomaly Detection using Pareto Depth AnalysisOct 17 2011Jan 07 2013We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. In most anomaly detection algorithms, the dissimilarity between data samples is calculated by a single criterion, such ... More

Hole-capture competition between a single quantum dot and an ionized acceptorAug 16 2018We study the competition of hole capture between an In(Ga)As quantum dot and a directly adjacent ionized impurity in view of spin-photon interfaces. The Kerr rotation noise spectroscopy at 4.2 K shows that the hole-capture probability of the In(Ga)As ... More

Thermodynamics of QCD low-energy models and the derivative expansion of the effective actionAug 11 2009We study the equation of state of a strongly interacting theory of relativistic bosons and chiral fermions in the vicinity and above the chiral phase transition temperature. Our model resembles presently used low-energy models of QCD in many ways, but ... More

The QCD Phase Boundary from Quark-Gluon DynamicsOct 09 2008Oct 28 2009We study one-flavor QCD at finite temperature and chemical potential using the functional renormalization group. We discuss the chiral phase transition in QCD and its order with its underlying mechanism in terms of quarks and gluons and analyze the dependence ... More

Theory of commensurable magnetic structures in holmiumFeb 12 1996The tendency for the period of the helically ordered moments in holmium to lock into values which are commensurable with the lattice is studied theoretically as a function of temperature and magnetic field. The commensurable effects are derived in the ... More

Mathematical Problems in Synthetic Aperture RadarOct 23 2010This thesis is concerned with problems related to Synthetic Aperture Radar (SAR). The thesis is structured as follows: The first chapter explains what SAR is, and the physical and mathematical background is illuminated. The following chapter points out ... More

Invariance results for pairings with algebraic K-theoryJan 30 2010To each algebra over the complex numbers we associate a sequence of abelian groups in a contravariant functorial way. In degree (m-1) we have the m-summable Fredholm modules over the algebra modulo stable m-summable perturbations. These new finitely summable ... More

Sand as Maxwell's demonJun 17 1999We consider a dilute gas of granular material inside a box, kept in a stationary state by shaking. A wall separates the box into two identical compartments, save for a small hole at some finite height $h$. As the gas is cooled, a second order phase transition ... More

Scattering and modified scattering for abstract wave equations with time-dependent dissipationJun 01 2006Aug 08 2007We consider the initial-value problem of abstract wave equations with weak dissipation. We show that under conditions on the dissipation coefficient and its derivative the solutions to the abstract dissipative equation are closely related to solutions ... More

Invariant Bilinear Differential Pairings on Parabolic GeometriesApr 21 2009This thesis is concerned with the theory of invariant bilinear differential pairings on parabolic geometries. It introduces the concept formally with the help of the jet bundle formalism and provides a detailed analysis. More precisely, after introducing ... More

Classification of finite congruence-simple semirings with zeroFeb 14 2007Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a `dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid. We also investigate ... More