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Numerical hydrodynamics in special relativityJun 21 1999This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing ... More

Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperatureSep 03 2003Mar 03 2004We investigate the adjoint SU(2) lattice gauge theory in 3+1 dimensions with the Wilson plaquette action modified by a Z(2) monopole suppression term. For the zero-twist sector we report indications for the existence of a finite temperature effect decoupled ... More

Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfacesJun 30 2003We study the boundedness problem for maximal operators in 3-dimensional Euclidean space associated to hypersurfaces given as the graph of $c+f$, where $f$ is a mixed homogeneous function which is smooth away from the origin and $c$ is a constant. Our ... More

Statistical Physics of RNA-foldingJun 13 2002Dec 23 2002We discuss the physics of RNA as described by its secondary structure. We examine the static properties of a homogeneous RNA-model that includes pairing and base stacking energies as well as entropic costs for internal loops. For large enough costs the ... More

Monte Carlo Simulation of Long Chain Polymer Melts: Crossover from Rouse to Reptation DynamicsAug 24 2000We present data of Monte Carlo simulations for monodisperse linear polymer chains in dense melts with degrees of polymerization between N=16 and N=512. The aim of this study is to investigate the crossover from Rouse-like dynamics for short chains to ... More

A Simple Model for Simple Aging in Glassy Yttrium-HydridesNov 15 2005A simple explanation for the logarithmic aging of the photoconductivity in yttriumhydride is proposed. We show that the scaling (``simple'' aging) of the relaxation response with the illumination time t_w is consistent with the superposition of independently ... More

A Doubly non-Linear Superconducting QubitApr 03 2019We describe a superconducting circuit consisting of a Josephson junction in parallel with a quantum phase slip wire, which implements a Hamiltonian that is periodic in both charge and flux. This Hamiltonian is exactly diagonalisable in a double-Bloch ... More

Combining Aspects of Genetic Algorithms with Weighted Recommender HybridizationOct 27 2017Recommender systems are established means to inspire users to watch interesting movies, discover baby names, or read books. The recommendation quality further improves by combining the results of multiple recommendation algorithms using hybridization ... More

Permutation groups of prime degree, a quick proof of Burnside's theoremOct 14 2003A transitive permutation group of prime degree is doubly transitive or solvable. We give a direct proof of this theorem by Burnside which uses neither S-ring type arguments, nor representation theory.

The Selberg trace formula for non-unitary representations of the latticeJun 22 2009For a compact locally symmetric space X, we establish a version of the Selberg trace fromula for a non-unitary representation of the fundamental group of X. On the spectral side appears the spectrum of the "flat Laplacian", acting in the space of sections ... More

Weyl's law in the theory of automorphic formsOct 11 2007For a compact Riemannian manifold, Weyl's law describes the asymptotic behavior of the counting function of the eigenvalues of the associated Laplace operator. In this paper we discuss Weyl's law in the context of automorphic forms. The underlying manifolds ... More

Deconvolving oscillatory transients with a Kalman filterSep 26 2008This paper describes a method to filter oscillatory transients from measurements of a time series which were at least an order of magnitude larger than the signal to be measured. Based on a Kalman filter, it has an optimality property and a natural scaling ... More

A note on $H^* (\rm{Emb}_0 (M,N))$Jan 25 2002Jan 29 2002Aim of this note is to gain cohomological information about the infinite-dimensional manifold $\rm{Emb}_0 (M,N)$ of asymptotically fixed embeddings of M into N from the topology of the target manifold N. This paper has been withdrawn by the author due ... More

Investigation of Higgs boson couplings via the production of a single top quark in association with a Higgs boson in the $\text{H} \to \text{b} \bar{\text{b}}$ channelNov 25 2016A search for the production of a single top quark in association with a Higgs boson is performed using the decay $\text{H} \to \text{b} \bar{\text{b}}$. The rate of this Higgs production mode is particularly sensitive to the relative sign of the Higgs ... More

Tidal theory of the thermal windJun 26 2002The baroclinic instability problem is considered in the framework of Laplacian tidal theory. The Hilbert space of the quasigeostrophic vorticity budget is spanned by spheroidal functions. The fluid is linearly stable against quasigeostrophic disturbances. ... More

A spectral interpretation of the zeros of the constant term of certain Eisenstein seriesMar 12 2007In this paper we consider the constant term $\phi_K(y,s)$ of the non-normalized Eisenstein series attached to $\PSL(2,\cO_K)$, where $K$ is either $\Q$ or an imaginary quadratic field of class number one. The main purpose of this paper is to show that ... More

Optimization of various isolation techniques to develop low noise, radiation hard double-sided silicon strip detectors for the CBM Silicon Tracking SystemNov 27 2012This paper reports on the design optimization done for Double Sided silicon microStrip Detectors(DSSDs) to reduce the Equivalent Noise Charge (ENC) and to maximize the breakdown voltage and Charge Collection Efficiency. Various isolation techniques have ... More

Simulations of Relativistic Jets with GENESISOct 26 1999The multidimensional relativistic hydrodynamical code GENESIS has been used to obtain first results of {\it 3D} simulations of relativistic jets. We have studied the influence of a slight perturbation of the injection velocity field on the morphodynamics ... More

Does the plasma composition affect the long term evolution of relativistic jets?Nov 19 2001Nov 07 2002We study the influence of the matter content of extragalactic jets on their morphology, dynamics and emission properties. For this purpose we consider jets of extremely different compositions including pure leptonic and baryonic plasmas. Our work is based ... More

Bending relativistic jets in AGNsJun 12 1997Jun 23 1997We present simulations of relativistic jets propagating in a nonuniform medium. Specifically, we study the bending of jets propagating obliquely to the vector of the density-gradient. Our results are applied to the NGC 4258, where such a medium is assumed ... More

Calculation of the Phase Behavior of LipidsFeb 24 1998The self-assembly of monoacyl lipids in solution is studied employing a model in which the lipid's hydrocarbon tail is described within the Rotational Isomeric State framework and is attached to a simple hydrophilic head. Mean-field theory is employed, ... More

Kilohertz laser ablation for doping helium nanodropletsJul 17 2007A new setup for doping helium nanodroplets by means of laser ablation at kilohertz repetition rate is presented. The doping process is characterized and two distinct regimes of laser ablation are identified. The setup is shown to be efficient and stable ... More

Relativistic Jets from CollapsarsOct 26 1999We have studied the relativistic beamed outflow proposed to occur in the collapsar model of gamma-ray bursts. A jet forms as a consequence of an assumed energy deposition of $\sim 10^{50}- 10^{51}$ erg/s within a $30^{\circ}$ cone around the rotation ... More

On the analytic torsion of hyperbolic manifolds of finite volumeJan 30 2015In this paper we study the analytic torsion for a complete oriented hyperbolic manifold of finite volume. This requires the definition of a regularized trace of heat operators. We use the Selberg trace formula to study the asymptotic behavior of the regularized ... More

Coupled variational problems of linear growth related to the denoising and inpainting of imagesMar 28 2018In this note we present some results that were already conjectured in the work [9] by Bildhauer, Fuchs and Weickert, where they have investigated analytical aspects of coupled variational models with applications to mathematical imaging. Here we focus ... More

MATSuMoTo: The MATLAB Surrogate Model Toolbox For Computationally Expensive Black-Box Global Optimization ProblemsApr 16 2014MATSuMoTo is the MATLAB Surrogate Model Toolbox for computationally expensive, black-box, global optimization problems that may have continuous, mixed-integer, or pure integer variables. Due to the black-box nature of the objective function, derivatives ... More

Relativistic Jets from CollapsarsNov 05 1999Jan 17 2000Using a collapsar progenitor model of MacFadyen & Woosley we have simulated the propagation of an axisymmetric jet through a collapsing rotating massive star with the GENESIS multi-dimensional relativistic hydrodynamic code. The jet forms as a consequence ... More

Fermi surface and superconducting gap of triple-layered Bi2Sr2Ca2Cu3O10+dOct 24 2001We present a comprehensive study performed with high-resolution angle-resolved photoemission spectroscopy on triple-layered Bi2Sr2Ca2Cu3O10+d single crystals. By measurements above TC the Fermi surface topology defined by the Fermi level crossings of ... More

Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisitedNov 24 2005Jul 20 2006We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the full symmetry group of the action taking into account {\it large}, i.e. ... More

Successive Umbrella SamplingJun 26 2003We propose an extension of umbrella sampling in which the pertinent range of states is subdivided in windows that are sampled consecutively and linked together. Extrapolating results from one window we estimate a weight function for the neighboring window. ... More

Deviations from the mean field predictions for the phase behaviour of random copolymers meltsDec 19 2001We investigate the phase behaviour of random copolymers melts via large scale Monte Carlo simulations. We observe macrophase separation into A and B--rich phases as predicted by mean field theory only for systems with a very large correlation lambda of ... More

Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnetsAug 22 2016Sep 12 2016We study the remanent magnetization in antiferromagnetic, many-body localized quantum spin chains, initialized in a fully magnetized state. Its long time limit is an order parameter for the localization transition, which is readily accessible by standard ... More

Performance studies of the two-step multiboson algorithm in compact lattice QEDNov 17 2001The performance of the two-step multiboson (TSMB) algorithm is investigated in comparison with the hybrid Monte Carlo (HMC) method for compact lattice QED with standard Wilson fermions both in the Coulomb and confinement phases. The restriction to QED ... More

Flux tubes as the origin of Net Circular Polarization in Sunspot PenumbraeJul 27 2007We employ a 3-dimensional magnetohydrostatic model of a horizontal flux tube, embedded in a magnetic surrounding atmosphere, to successfully reproduce the azimuthal and center-to-limb variations of the Net Circular Polarization observed in sunspot penumbrae. ... More

Monte Carlo simulations of interfaces in polymer blendsMar 10 1998We review recent simulation studies of interfaces between immiscible homopolymer phases. Special emphasis is given to the presentation of efficient simulation techniques and powerful methods of data analysis, such as the analysis of capillary wave spectra. ... More

Wetting and Capillary Condensation in Symmetric Polymer Blends: A comparison between Monte Carlo Simulations and Self-Consistent Field CalculationsMay 26 1998We present a quantitative comparison between extensive Monte Carlo simulations and self-consistent field calculations on the phase diagram and wetting behavior of a symmetric, binary (AB) polymer blend confined into a film. The flat walls attract one ... More

Improving Prognostic Value of CT Deep Radiomic Features in Pancreatic Ductal Adenocarcinoma Using Transfer LearningMay 23 2019Pancreatic ductal adenocarcinoma (PDAC) is one of the most aggressive cancers with an extremely poor prognosis. Radiomics has shown prognostic ability in multiple types of cancer including PDAC. However, the prognostic value of traditional radiomics pipelines, ... More

Gender Matters! Analyzing Global Cultural Gender Preferences for Venues Using Social SensingMar 18 2017Gender differences is a phenomenon around the world actively researched by social scientists. Traditionally, the data used to support such studies is manually obtained, often through surveys with volunteers. However, due to their inherent high costs because ... More

Interface localisation-delocalisation transition in a symmetric polymer blend: a finite-size scaling Monte Carlo studyOct 20 2000Using extensive Monte Carlo simulations we study the phase diagram of a symmetric binary (AB) polymer blend confined into a thin film as a function of the film thickness D. The monomer-wall interactions are short ranged and antisymmetric, i.e, the left ... More

Parameter Estimation and Confidence Regions in the Method of Light Curve Simulations for the Analysis of Power Density SpectraMay 21 2009The Method of Light Curve Simulations is a tool that has been applied to X-ray monitoring observations of Active Galactic Nuclei (AGN) for the characterization of the Power Density Spectrum (PDS) of temporal variability and measurement of associated break ... More

Non-equilibrium quantum-heat statistics under stochastic projective measurementsMay 02 2018In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times. Both quenched ... More

Device physics of van der Waals heterojunction solar cellsMar 07 2019Heterostructures based on atomically thin semiconductors are considered a promising emerging technology for the realization of ultrathin and ultralight photovoltaic solar cells on flexible substrates. Much progress has been made in recent years on a technological ... More

Optical imaging of strain in two-dimensional crystalsMar 07 2019Strain engineering is widely used in material science to tune the (opto-)electronic properties of materials and enhance the performance of devices. Two-dimensional atomic crystals are a versatile playground to study the influence of strain, as they can ... More

Improving Prognostic Performance in Resectable Pancreatic Ductal Adenocarcinoma using Radiomics and Deep Learning Features Fusion in CT ImagesJul 10 2019As an analytic pipeline for quantitative imaging feature extraction and analysis, radiomics has grown rapidly in the past a few years. Recent studies in radiomics aim to investigate the relationship between tumors imaging features and clinical outcomes. ... More

CNN-based Survival Model for Pancreatic Ductal Adenocarcinoma in Medical ImagingJun 25 2019Cox proportional hazard model (CPH) is commonly used in clinical research for survival analysis. In quantitative medical imaging (radiomics) studies, CPH plays an important role in feature reduction and modeling. However, the underlying linear assumption ... More

Cosmological bounds on the equation of state of dark matterOct 26 2004Feb 09 2005In this exploratory study, we investigate the bounds on the equation of state of dark matter. Modeling dark matter as a fluid component, we take into account both positive and negative fixed equations of state. Using CMB, supernovae Ia and large scale ... More

Cosmological Markov Chain Monte Carlo simulation with CmbeasyJun 08 2004We introduce a Markov Chain Monte Carlo simulation and data analysis package for the cosmological computation package Cmbeasy. We have taken special care in implementing an adaptive step algorithm for the Markov Chain Monte Carlo in order to improve convergence. ... More

Early Quintessence and the CMBOct 15 2003We examine the cosmic microwave background (CMB) anisotropy for signatures of early quintessence dark energy -- a non-negligible quintessence energy density during the recombination and structure formation eras. In contrast to a $\Lambda$CDM cosmology, ... More

Plasmonic Properties of Close-packed Metallic Nanoparticle Mono- and BilayersJul 05 2019The self-assembly of metallic nanoparticles is a promising route to metasurfaces with unique properties for many optical applications, such as surface-enhanced spectroscopy, light manipulation, and sensing. We present an in-depth theoretical study of ... More

Increase of the mean inner Coulomb potential in Au clusters induced by surface tension and its implication for electron scatteringMay 08 2007Electron holography in a transmission electron microscope was applied to measure the phase shift induced by Au clusters as a function of the cluster size. Large phase shifts Df observed for small Au clusters cannot be described by the well-known equation ... More

Vacuum Polarization and the Electric Charge of the PositronSep 05 1992Nov 10 1992We show that higher-order vacuum polarization would contribute a measureable net charge to atoms, if the charges of electrons and positrons do not balance precisely. We obtain the limit $|Q_e+Q_{\bar e}| < 10^{-18} e$ for the sum of the charges of electron ... More

Effects of Inelastic Neutrino-Nucleus Scattering on Supernova Dynamics and Radiated Neutrino SpectraJun 12 2007Based on the shell model for Gamow-Teller and the Random Phase Approximation for forbidden transitions, we have calculated reaction rates for inelastic neutrino-nucleus scattering (INNS) under supernova (SN) conditions, assuming a matter composition given ... More

Cluster expansion for dimerized spin systemsJul 18 2001We have studied dimerized spin systems by realizing the cluster expansion to high order. We have extended our previous dimer expansion for one-dimensional systems to cover weakly interacting chains for a quantitative description of three dimensional materials ... More

Resistivity studies under hydrostatic pressure on a low-resistance variant of the quasi-2D organic superconductor kappa-(BEDT-TTF)2Cu[N(CN)2]Br: quest for intrinsic scattering contributionsJul 19 2004Resistivity measurements have been performed on a low (LR)- and high (HR)-resistance variant of the kappa-(BEDT-TTF)_2Cu[N(CN)_2]Br superconductor. While the HR sample was synthesized following the standard procedure, the LR crystal is a result of a somewhat ... More

Hyperfine Suppression of $2^3{\rm S}_1 - 3^3{\rm P}_J$ Transitions in $^3$HeSep 24 2008Two anomalously weak transitions within the $2 ^3{\rm S}_1~-~3 ^3{\rm P}_J$ manifolds in $^3$He have been identified. Their transition strengths are measured to be 1,000 times weaker than that of the strongest transition in the same group. This dramatic ... More

Long Range Bond-Bond Correlations in Dense Polymer SolutionsApr 20 2004Jun 21 2004The scaling of the bond-bond correlation function $C(s)$ along linear polymer chains is investigated with respect to the curvilinear distance, $s$, along the flexible chain and the monomer density, $\rho$, via Monte Carlo and molecular dynamics simulations. ... More

Densities and filling factors of the DIG in the Solar neighbourhoodJul 23 2008For the first time we have combined dispersion measures and emission measures towards 38 pulsars at KNOWN distances from which we derived the mean electron density in clouds, N_c, and their volume filling factor, F_v, averaged along the line of sight. ... More

Magnetic catalysis and inverse magnetic catalysis in QCDFeb 27 2015May 13 2015We investigate the effects of strong magnetic fields on the QCD phase structure at vanishing density by solving the gluon and quark gap equations, and by studying the dynamics of the quark scattering with the four-fermi coupling. The chiral crossover ... More

The glass transition and the Coulomb gap in electron glassesJun 14 2004We establish the connection between the presence of a glass phase and the appearance of a Coulomb gap in disordered materials with strongly interacting electrons. Treating multiparticle correlations in a systematic way, we show that in the case of strong ... More

Analyze This! A Cosmological Constraint Package for CMBEASYNov 13 2003Sep 15 2004We introduce a Markov Chain Monte Carlo simulation and data analysis package that extends the CMBEASY software. We have taken special care in implementing an adaptive step algorithm for the Markov Chain Monte Carlo in order to improve convergence. Data ... More

Concentration and energy fluctuations in a critical polymer mixtureNov 02 1994A semi-grand-canonical Monte Carlo algorithm is employed in conjunction with the bond fluctuation model to investigate the critical properties of an asymmetric binary (AB) polymer mixture. By applying the equal peak-weight criterion to the concentration ... More

Definition of Magnetic Monopole Numbers for SU(N) Lattice Gauge-Higgs ModelsJan 23 1999A geometric definition for a magnetic charge of Abelian monopoles in SU(N) lattice gauge theories with Higgs fields is presented. The corresponding local monopole number defined for almost all field configurations does not require gauge fixing and is ... More

Dynamical Structure Factors for the Heisenberg Chain with Alternating ExchangeNov 15 2002Nov 20 2002We discuss the transition strength between the disordered ground state and the basic low-lying triplet excitation for the Heisenberg chain with alternating exchange based on series expansions in the interdimer interaction up to tenth order. We demonstrate ... More

Constraints on the Low-Energy Cutoff in the Electron Distribution of the PKS 0637-752 JetNov 18 2008We re-analyze the Chandra ACIS spectrum of the kpc-scale jet in PKS 0637-752 to investigate the possible low energy cutoff in the relativistic electron spectrum producing the non-thermal radiation in the scenario of inverse Compton emission off the cosmic ... More

On the dynamics of coupled S=1/2 antiferromagnetic zig-zag chainsMar 02 2000Aug 23 2000We investigate the elementary excitations of quasi one-dimensional S=1/2 systems built up from zig-zag chains with general isotropic exchange constants, using exact (Lanczos) diagonalization for 24 spins and series expansions starting from the decoupled ... More

The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volumeJul 18 2013In this paper we study the regularized analytic torsion of finite volume hyperbolic manifolds. We consider sequences of coverings $X_i$ of a fixed hyperbolic orbifold $X_0$. Our main result is that for certain sequences of coverings and strongly acyclic ... More

World-line formulation of chiral kinetic theory in topological background gauge fieldsDec 11 2017In heavy-ion collisions, an interesting question of phenomenological relevance is how the chiral imbalance generated at early times persists through a fluctuating background of sphalerons in addition to other "non-anomalous" interactions with the QGP. ... More

On the ring of invariants of ordinary quartic curves in characteristic 2May 04 2004In this article a complete set of invariants for ordinary quartic curves in characteristic 2 is computed.

On critical normal sections for two-dimensional immersions in R^n and a Riemann-Hilbert problemMay 23 2007For orthonormal normal sections of two-dimensional immersions in R^4 we define torsion coefficients and a functional for the total torsion. We discuss normal sections which are critical for this functional. In particular, a global estimate for the torsion ... More

The Metric Anomaly of Analytic Torsion on Manifolds with Conical SingularitiesApr 12 2010Jul 12 2011In this paper we study the analytic torsion of an odd-dimensional manifold with isolated conical singularities. First we show that the analytic torsion is invariant under deformations of the metric which are of higher order near the singularities. Then ... More

Quality analysis in acyclic production networksJun 27 2019The production network under examination consists of a number of workstations. Each workstation is a parallel configuration of machines performing the same kind of tasks on a given part. Parts move from one workstation to another and at each workstation ... More

Existence and almost everywhere regularity of generalized minimizers for a class of variational problems with linear growth related to image inpaintingMar 27 2018We continue the analysis of some modifications of the total variation image inpainting method formulated on the space $BV(\Omega)^M$ in the sense that we generalize the main results of [32] to the case that a more general data fitting term is involved. ... More

A higher order TV-type variational problem related to the denoising and inpainting of imagesMar 27 2018We give a comprehensive survey on a class of higher order variational problems which are motivated by applications in mathematical imaging. The overall aim of this note is to investigate if and in which manner results from the first author's previous ... More

Wave equation and multiplier estimates on ax+b groupsMar 26 2004Let L be the distinguished Laplacian on certain semidirect products of R by R^n which are of ax+b type. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators for arbitrary time and scaling parameter.

Multicopter attitude control for recovery from large disturbancesFeb 26 2018We present a novel, high-performance attitude control law for multicopters, with a view to recovery from large disturbances. The controller is compared to three well-established alternatives from the literature. All controllers considered are identical ... More

World-line construction of a covariant chiral kinetic theoryFeb 04 2017We discuss a novel world-line framework for computations of the Chiral Magnetic Effect (CME) in ultrarelativistic heavy-ion collisions. Starting from the fermion determinant in the QCD effective action, we show explicitly how its real part can be expressed ... More

Model of surface instabilities induced by stressJun 23 1998We propose a model based on a Ginzburg-Landau approach to study a strain relief mechanism at a free interface of a non-hydrostatically stressed solid, commonly observed in thin-film growth. The evolving instability, known as the Grinfeld instability, ... More

Renormalization by Projection: On the Equivalence of the Bloch-Feshbach Formalism and Wilson's RenormalizationNov 15 1995Jul 02 1996We employ projection operator techniques in Hilbert space to derive a continuous sequence of effective Hamiltonians which describe the dynamics on successively larger length scales. We show for the case of \phi^4 theory that the masses and couplings in ... More

Spontaneous excitation of an accelerated atom: The contributions of vacuum fluctuations and radiation reactionAug 16 1994We consider an atom in interaction with a massless scalar quantum field. We discuss the structure of the rate of variation of the atomic energy for an arbitrary stationary motion of the atom through the quantum vacuum. Our main intention is to identify ... More

Radiative energy shifts of accelerated atomsMar 29 1995Mar 30 1995We consider the influence of acceleration on the radiative energy shifts of atoms in Minkowski space. We study a two-level atom coupled to a scalar quantum field. Using a Heisenberg picture approach, we are able to separate the contributions of vacuum ... More

Organic superconductorsFeb 07 2003This article will give an overview on the normal- and superconducting-state properties of organic superconductors. There are a number of review articles on this subject - most of them focus on either the quasi-one-dimensional or two-dimensional materials. ... More

A Stochastic Heisenberg InequalityJun 17 2003An analogue of the Fourier transform will be introduced for all square integrable continuous martingale processes whose quadratic variation is deterministic. Using this transform we will formulate and prove a stochastic Heisenberg inequality.

Chiral effective theories with a light scalar at one loopJun 05 2019There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we compute the one-loop counterterms of a theory of Goldstone ... More

Extremal Kaehler metrics and Ray-Singer analytic torsionApr 12 1999May 06 1999Let (X,[\omega]) be a compact Kaehler manifold with a fixed Kaehler class [\omega]. Let K_\omega be the set of all Kaehler metrics on X whose Kaehler class equals [\omega]. In this paper we investigate the critical points of the functional Q(g)= |v|_g ... More

A Singular Parabolic Anderson ModelApr 08 2002We give a new example of a measure-valued process without a density, which arises from a stochastic partial differential equation with a multiplicative noise term. This process has some unusual properties. We work with the heat equation with a random ... More

A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of TalagrandAug 19 2008Jan 28 2012We give a new representation of fractional Brownian motion with Hurst parameter H<=1/2 using stochastic partial differential equations. This representation allows us to use the Markov property and time reversal, tools which are not usually available for ... More

Principal Differences Analysis: Interpretable Characterization of Differences between DistributionsOct 30 2015We introduce principal differences analysis (PDA) for analyzing differences between high-dimensional distributions. The method operates by finding the projection that maximizes the Wasserstein divergence between the resulting univariate populations. Relying ... More

Infinite excursions of rotor walks on regular treesNov 18 2015Jul 04 2017A rotor configuration on a graph contains in every vertex an infinite ordered sequence of rotors, each is pointing to a neighbor of the vertex. After sampling a configuration according to some probability measure, a rotor walk is a deterministic process: ... More

Striped periodic minimizers of a two-dimensional model for martensitic phase transitionsNov 17 2010In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by the parent (austenite) phase and a region occupied by ... More

Generic modelling of non-perturbative quantities and a description of hard exclusive $π^+$ electroproductionJun 14 2009Based on Regge-inspired arguments and counting rules, we formulate empirical models for zero-skewness generalized parton distributions (GPDs) ${\widetilde H}^{(3)}$ and ${\widetilde E}^{(3)}$ in the iso-vector sector. If a hypothetical $a_1/\rho_2$ master ... More

Structure of hybrid static potential flux tubes in SU(2) lattice Yang-Mills theoryMar 29 2018We study the structure of the hybrid static potential flux tube in the $\Pi_u$ sector in SU(2) lattice Yang-Mills theory. To this end, we compute the squares of the chromoelectric and chromomagnetic field strengths in the presence of a static quark-antiquark ... More

A Liouville theorem for stationary incompressible fluids of von Mises typeMay 22 2018We consider entire solutions $u$ of the equations describing the stationary flow of a generalized Newtonian fluid in 2D concentrating on the question, if a Liouville-type result holds in the sense that the boundedness of $u$ implies its constancy. A positive ... More

On the Termination of the General XL Algorithm and Ordinary MultinomialsJan 12 2018The XL algorithm is an algorithm for solving overdetermined systems of multivariate polynomial equations. It was initially introduced for quadratic equations -- however the algorithm works for polynomials of any degree and we will focus on the performance ... More

A stochastic Stefan-type problem under first-order boundary conditionsJan 15 2016Oct 29 2018Moving boundary problems allow to model systems with phase transition at an inner boundary. Driven by problems in economics and finance, in particular modeling of limit order books, we consider a stochastic and non-linear extension of the classical Stefan-problem ... More

Approximation of the interface condition for stochastic Stefan-type problemsMar 28 2018Oct 26 2018We consider approximations of the Stefan-type condition by imbalances of volume closely around the inner interface and study convergence of the solutions of the corresponding semilinear stochastic moving boundary problems. After a coordinate transformation, ... More

Can the Stochastic Wave Equation with Strong Drift Hit Zero?Feb 26 2018Feb 13 2019We study the stochastic wave equation with multiplicative noise and singular drift: \[ \partial_tu(t,x)=\Delta u(t,x)+u^{-\alpha}(t,x)+g(u(t,x))\dot{W}(t,x) \] where $x$ lies in the circle $\mathbf{R}/J\mathbf{Z}$ and $u(0,x)>0$. We show that (i) If $0<\alpha<1$ ... More

Analytic torsion of arithmetic quotients of the symmetric space SL(n,R)/SO(n)Jul 15 2016Sep 15 2017In this paper we define a regularized version of the analytic torsion for arithmetic quotients of the symmetric space SL(n,R)/\SO(n). The definition is based on the study of the renormalized trace of the corresponding heat operators, which is defined ... More

Solutions of semilinear wave equation via stochastic cascadesNov 29 2009We introduce a probabilistic representation for solutions of quasilinear wave equation with analytic nonlinearities. We use stochastic cascades to prove existence and uniqueness of the solution.

On the existence of normal Coulomb frames for two-dimensional immersions with higher codimensionJun 10 2009In this paper we consider the existence and regularity problem for Coulomb frames in the normal bundle of two-dimensional surfaces with higher codimension in Euclidean spaces. While the case of two codimensions can be approached directly by potential ... More

How to Add a Noninteger Number of Terms: From Axioms to New IdentitiesJan 26 2010Mar 02 2011Starting from a small number of well-motivated axioms, we derive a unique definition of sums with a noninteger number of addends. These "fractional sums" have properties that generalize well-known classical sum identities in a natural way. We illustrate ... More