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Structure and Dynamics of the Quasi-Liquid Layer at the Surface of Ice from Molecular SimulationsNov 30 2018We characterized the structural and dynamical properties of the quasi-liquid layer (QLL) at the surface of ice by molecular dynamics simulations with a thermodynamically consistent water model. Our simulations show that for three low-index ice surfaces ... More

Dynamical Properties of a Rotating Bose-Einstein CondensateNov 01 2007Within a variational approach to solve the Gross-Pitaevskii equation we investigate dynamical properties of a rotating Bose-Einstein condensate which is confined in an anharmonic trap. In particular, we calculate the eigenfrequencies of low-energy excitations ... More

String Field Theory Vertices for Fermions of Integral WeightJun 25 2003Feb 26 2004We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0,1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity, the reflector ... More

A deep learning approach to identify local structures in atomic-resolution transmission electron microscopy imagesFeb 08 2018Feb 09 2018Recording atomic-resolution transmission electron microscopy (TEM) images is becoming increasingly routine. A new bottleneck is then analyzing this information, which often involves time-consuming manual structural identification. We have developed a ... More

A deep learning approach to identify local structures in atomic-resolution transmission electron microscopy imagesFeb 08 2018Recording atomic-resolution transmission electron microscopy (TEM) images is becoming increasingly routine. A new bottleneck is then analyzing this information, which often involves time-consuming manual structural identification. We have developed a ... 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.

Considerations on Gravitational Effects Stimulated by Gravitational Fields via Classical Field TheoryOct 12 2013May 24 2015A mass distribution is analyzed in terms of classical gravitational field theory. Newton's law of gravitation is consistently applied on the assumption that the equivalence of energy and mass according to Einstein's theory of relativity is valid for gravitational ... More

Phase- and intensity-resolved measurements of above threshold ionization by few-cycle pulsesJan 23 2018Apr 19 2018We investigate the carrier-envelope phase and intensity dependence of the longitudinal momentum distribution of photoelectrons resulting from above-threshold ionization of argon by few-cycle laser pulses. The intensity of the pulses with a center wavelength ... More

Klein-Tunneling of a Quasirelativistic Bose-Einstein Condensate in an Optical LatticeAug 22 2011Aug 13 2013Optical lattices have proven to be powerful systems for quantum simulations of solid state physics effects. Here we report a proof-of-principle experiment simulating effects predicted by relativistic wave equations with ultracold atoms in a bichromatic ... More

Basic Network Creation Games with Communication InterestsJul 23 2012Network creation games model the creation and usage costs of networks formed by a set of selfish peers. Each peer has the ability to change the network in a limited way, e.g., by creating or deleting incident links. In doing so, a peer can reduce its ... More

FASER: ForwArd Search ExpeRiment at the LHCAug 30 2017Jun 14 2018New physics has traditionally been expected in the high-$p_T$ region at high-energy collider experiments. If new particles are light and weakly-coupled, however, this focus may be completely misguided: light particles are typically highly concentrated ... More

Chromatic weight systems and the corresponding knot invariantsJan 13 1997This paper contains a proof that chromatic weight systems, introduced by Chmutov, Duzhin and Lando, can be expressed in terms of weight systems associated with direct sums of the Lie algebras gl_n and so_n. As a consequence the Vassiliev invariants of ... More

Anomaly Cancellation in Six DimensionsApr 22 1993I show that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi-Yau compactification to six dimensions. This reflects the fact that K3 is the only non-trivial CY manifold in two complex ... More

Low Energy Tests of the Standard Model with Spin Degrees of FreedomDec 04 2006Feb 19 2007After briefly reviewing the status of the standard model, I will focus mainly on polarized electron scattering and other tests of the weak neutral current. I will also address other low energy tests in which polarization degrees of freedom play a crucial ... More

Breakdown of Duality in (0,2) Superstring ModelsJun 16 1993After pointing out the role of the compactification lattice for spectrum calculations in orbifold models, I discuss modular discrete symmetry groups for $Z_N$ or\-bi\-folds. I consider the $Z_7$ orbifold as a nontrivial example of a (2,2) model and give ... More

U(1) invariant Membranes and SingularitiesMay 30 2008A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.

M-brane dynamical symmetry and quantizationJan 22 2011The recently discovered dynamical symmetry for relativistic extended objects is derived from first principles, and analogues commutators are obtained for the corresponding formal quantum expressions

Tests of the Electroweak Standard ModelSep 14 2012Sep 24 2012Electroweak precision tests of the Standard Model of the fundamental interactions are reviewed ranging from the lowest to the highest energy experiments. Results from global fits are presented with particular emphasis on the extraction of fundamental ... More

The Depth-Restricted Rectilinear Steiner Arborescence Problem is NP-completeAug 27 2015In the rectilinear Steiner arborescence problem the task is to build a shortest rectilinear Steiner tree connecting a given root and a set of terminals which are placed in the plane such that all root-terminal-paths are shortest paths. This problem is ... More

Which spectral distortions does $Λ$CDM actually predict?Mar 08 2016May 20 2016Ever refined cosmological measurements have established the $\Lambda$CDM concordance model, with the key cosmological parameters being determined to percent-level precision today. This allows us to make explicit predictions for the spectral distortions ... More

Tropical multiplier sequencesMay 23 2015We prove that the diagonal operator defined by a positive sequence preserves tropical and central indices if and only if the sequence is log-concave. In particular we obtain an elementary proof of that such an operator preserves the set of sign-independently ... More

Semiclassical expectation values for relativistic particles with spin 1/2Sep 29 2000For relativistic particles with spin 1/2, which are described by the Dirac equation, a semiclassical trace formula is introduced that incorporates expectation values of observables in eigenstates of the Dirac-Hamiltonian. Furthermore, the semiclassical ... More

Mean-field model of the ferromagnetic ordering in the superconducting phase of ErNi_2B_2CJan 09 2002A mean-field model explaining most of the details in the magnetic phase diagram of ErNi_2B_2C is presented. The low-temperature magnetic properties are found to be dominated by the appearance of long-period commensurate structures. The stable structure ... More

1/z-renormalization of the mean-field behavior of the dipole-coupled singlet-singlet system HoF_3Dec 15 1993The two main characteristics of the holmium ions in HoF_3 are that their local electronic properties are dominated by two singlet states lying well below the remaining 4f-levels, and that the classical dipole-coupling is an order of magnitude larger than ... More

SM vacuum stability and the Weyl consistency conditions: Counting to threeJul 27 2015We demonstrate how a new perturbative ordering may result from the structure of the Weyl anomaly. Respecting the abelian nature of the Weyl anomaly at the lowest order enforces the use of beta functions calculated to a different loop order for different ... More

Time-optimal bath-induced unitaries by Zermelo navigation: speed limit and non-Markovian quantum computationJul 31 2015The solution of the quantum Zermelo navigation problem is applied to the non-Markovian open system dynamics of a set of quantum systems interacting with a common environment. We consider a case allowing an exact time-optimal realization of environment-mediated ... More

Energy conserving Anisotropic Anhysteretic Magnetic Modelling for Finite Element AnalysisDec 20 2012To model ferromagnetic material in finite element analysis a correct description of the constitutive relationship (BH-law) must be found from measured data. This article proposes to use the energy density function as a centrepiece. Using this function, ... More

Beyond the Ultra-Dense Barrier - Paradigm shifts on the road beyond 1000x wireless capacityJun 11 2016It has become increasingly clear that the current design paradigm for mobile broadband systems is not a scalable and economically feasible way to solve the expected future 'capacity crunch', in particular in indoor locations with large user densities. ... 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

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

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

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

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.

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

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 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

Pair correlation densities of inhomogeneous quadratic formsOct 14 2002Apr 20 2004Under explicit diophantine conditions on $(\alpha,\beta)\in\RR^2$, we prove that the local two-point correlations of the sequence given by the values $(m-\alpha)^2+\break (n-\beta)^2$, with $(m,n)\in\ZZ^2$, are those of a Poisson process. This partly ... More

Fit to Electroweak Precision DataJun 12 2006A brief review of electroweak precision data from LEP, SLC, the Tevatron, and low energies is presented. The global fit to all data including the most recent results on the masses of the top quark and the W boson reinforces the preference for a relatively ... More

The Probability Density of the Higgs Boson MassOct 15 2000Jan 11 2001The LEP Collaborations have reported a small excess of events in their combined Higgs boson analysis at center of mass energies up to about 208 GeV. In this communication, I present the result of a calculation of the probability distribution function ... More

Implications of Precision Electroweak Measurements for the Standard Model Higgs BosonApr 05 1999We summarize the status of the Standard Model with special emphasis on the extraction of the Higgs boson mass using Bayesian inference.

Calculation of the QED Coupling alpha (M_Z) in the Modified Minimal-Subtraction SchemeMar 26 1998Nov 09 1998I calculate the QED coupling, alpha, directly in the MS-bar scheme using an unsubtracted dispersion relation for the three light quarks, and perturbative QCD for charm and bottom quarks. Compact analytical expressions are presented, making this approach ... More

Alpha_s with GAPPFeb 27 2011Details are provided how GAPP evaluates the strong coupling constant from Z and tau decays and the corresponding uncertainties.

Radiative Corrections and Z'Sep 29 2009Radiative corrections to parity violating deep inelastic electron scattering are reviewed including a discussion of the renormalization group evolution of the weak mixing angle. Recently obtained results on hypothetical Z' bosons - for which parity violating ... More

Electroweak Precision Data and New Gauge BosonsJul 05 2009I review constraints on the Standard Model (SM) Higgs boson from high energy electroweak (EW) precision data. The same data set also strongly limits various mixing effects of hypothetical extra neutral gauge bosons (Z') with the ordinary Z. I also discuss ... More

Constraining Electroweak PhysicsOct 16 2003I summarize the status of the Standard Model after the 2003 summer conferences.

Electroweak Radiative Corrections to Semileptonic Tau DecaysNov 22 2002Nov 25 2002I present an update on the electroweak radiative correction factor to semileptonic tau decays, including a next-to-leading order resummation of large logarithms. My result differs both qualitatively and quantitatively from the one recently obtained by ... More

Chiral Models of Weak Scale SupersymmetryJun 05 2000I discuss supersymmetric extensions of the Standard Model containing an extra U(1)' gauge symmetry which provide a solution to the mu-problem and at the same time protect the proton from decaying via dimension 4 operators. Moreover, all fields are protected ... More

Asymmetric Orbifolds and Higher Level ModelsFeb 07 1996Nov 29 1996I introduce a class of string constructions based on asymmetric orbifolds leading to level two models. In particular, I derive in detail various models with gauge groups $E_6$ and SO(10), including a four generation $E_6$ model with two adjoint representations. ... More

The SLD Asymmetry in View of the LEP ResultsJun 30 1994LEP determines $\sin^2 \theta_{\rm eff}$, by combining the various asymmetry measurements to be $0.2321 \pm 0.0005$. On the other hand, the left-right asymmetry as measured at SLC corresponds to \seff = $0.2292 \pm 0.0010$. I will discuss the possibilities ... More

Quantum Group Structure and Local Fields in the Algebraic Approach to 2D GravityDec 21 1994This review contains a summary of work by J.-L. Gervais and the author on the operator approach to 2d gravity. Special emphasis is placed on the construction of local observables -the Liouville exponentials and the Liouville field itself - and the underlying ... More

Non-linear realization of Poincare invariance in the graph-representation of extremal hypersurfacesJun 03 2008In the Born-Infeld 'harmonic gauge' description of M-branes moving in R^{M+1} the underlying M+2 dimensional Poincare - invariance gives rise to an interesting system of conservation laws showing signs of integrability.

Surface Motions and Fluid DynamicsMay 02 1994Jul 20 1994A certain class of surface motions, including those of a relativistic membrane minimizing the 3-dimensional volume swept out in Minkowski-space, is shown to be equivalent to 3-dimensional steady-state irrotational inviscid isentropic gas-dynamics. The ... More

Autotools for writing portable softwareOct 20 2002Nov 01 2002Most of the scientific software is developed in the same manner: It starts at a lab and the scientist says "This part of software is only for my private use". But the software grows and grows, and it comes the time, that other scientists want to use it, ... More

Semiclassical Trace Formulae and Eigenvalue Statistics in Quantum ChaosFeb 05 1997A detailed discussion of semiclassical trace formulae is presented and it is demonstrated how a regularized trace formula can be derived while dealing only with finite and convergent expressions. Furthermore, several applications of trace formula techniques ... More

Reassembling trees for the traveling salesmanFeb 12 2015Jan 05 2016Many recent approximation algorithms for different variants of the traveling salesman problem (asymmetric TSP, graph TSP, s-t-path TSP) exploit the well-known fact that a solution of the natural linear programming relaxation can be written as convex combination ... More

Kinetic limits of dynamical systemsAug 06 2014Since the pioneering work of Maxwell and Boltzmann in the 1860s and 1870s, a major challenge in mathematical physics has been the derivation of macroscopic evolution equations from the fundamental microscopic laws of classical or quantum mechanics. Macroscopic ... More

The supernova/gamma-ray burst/jet connectionApr 29 2013The observed association between supernovae and gamma-ray bursts represents a cornerstone in our understanding of the nature of gamma-ray bursts. The collapsar model provides a theoretical framework for this connection. A key element is the launch of ... More

Distinguishing different scenarios of early energy release with spectral distortions of the cosmic microwave backgroundApr 22 2013Oct 01 2013Deviations of the cosmic microwave background (CMB) frequency spectrum from a pure blackbody tell an exciting story about the thermal history of our Universe. In this paper we illustrate how well future CMB measurements might decipher this tale, envisioning ... More

Weighing in on the HiggsJan 03 2012Sep 13 2012Assuming the validity of the Standard Model, or more generally that possible physics beyond it would have only small effects on production cross sections, branching ratios and electroweak radiative corrections, I determine the mass of the Higgs boson ... More

Limitations of Skeptical Default ReasoningFeb 06 2013Poole has shown that nonmonotonic logics do not handle the lottery paradox correctly. In this paper we will show that Pollock's theory of defeasible reasoning fails for the same reason: defeasible reasoning is incompatible with the skeptical notion of ... More

Fermion Interactions and Universal Behavior in Strongly Interacting TheoriesAug 22 2011The theory of the strong interaction, Quantum Chromodynamics (QCD), describes the generation of hadronic masses and the state of hadronic matter during the early stages of the evolution of the universe. As a complement, experiments with ultracold fermionic ... More

Invariant Differential PairingsMar 29 2007Apr 12 2008In this paper the notion of an M-th order invariant bilinear differential pairing is introduced and a formal definition is given. If the manifold has an AHS structure, then various first order pairings are constructed. This yields a classification of ... More

Multiplication for solutions of the equation $\grad{f} = M\grad{g}$Mar 19 2008Linear first order systems of partial differential equations of the form $\nabla f = M\nabla g,$ where $M$ is a constant matrix, are studied on vector spaces over the fields of real and complex numbers, respectively. The Cauchy--Riemann equations belong ... More

Homogenisation of Monotone Parabolic Problems with Several Temporal Scales: The Detailed arXiv e-Print VersionMar 29 2010Jun 22 2010In this paper we homogenise monotone parabolic problems with two spatial scales and finitely many temporal scales. Under a certain well-separatedness assumption on the spatial and temporal scales as explained in the paper, we show that there is an H-limit ... More

Morita invariance of unbounded bivariant K-theoryDec 26 2016We introduce a notion of Morita equivalence for non-selfadjoint operator algebras equipped with a completely isometric involution (operator *-algebras). We then show that the unbounded Kasparov product by a Morita equivalence bimodule induces an isomorphism ... More

Instability of a moving contact lineJan 18 2005We study a solid plate plunging into or being withdrawn from a liquid bath, to highlight the fundamental difference between the local behavior of an advancing or a receding contact line, respectively. It is assumed that the liquid partially wets the solid, ... More

Hydrodynamic SingularitiesOct 30 2001We give a brief overview of the physical significance of singularities in fluid mechanics.

On the multivariate Fujiwara bound for exponential sumsDec 12 2016We prove the multivariate Fujiwara bound for exponential sums: for a $d$-variate exponential sum $f$ with scaling parameter $\mu$, if $x$ is contained in the amoeba $\mathscr{A}(f)$, then the distance from $x$ to the Archimedean tropical variety associated ... More

The LMO-invariant of 3-manifolds of rank one and the Alexander polynomialFeb 05 2000Feb 16 2000We prove that the LMO-invariant of a 3-manifold of rank one is determined by the Alexander polynomial of the manifold, and conversely, that the Alexander polynomial is determined by the LMO-invariant. Furthermore, we show that the Alexander polynomial ... More

There always is a variational source condition for nonlinear problems in Banach spacesSep 18 2017Variational source conditions proved useful for deriving convergence rates for Tikhonov's regularization method and also for other methods. Up to now such conditions have been verified only for few examples or for situations which can be handled by classical ... More

Horospheres and Farey fractionsMar 24 2010Mar 30 2010We embed multidimensional Farey fractions in large horospheres and explain under which conditions they become uniformly distributed in the ambient homogeneous space. This question has recently been investigated in the case of SL(d,Z) to prove the asymptotic ... More

Modified scattering for a wave equation with weak dissipationSep 10 2005We consider the Cauchy problem for the weakly dissipative wave equation $$ \square u+\frac\mu{1+t} u_t=0 $$ with parameter $\mu\ge2$. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; {\bf 27}:101-124] sharp ... 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

On 7D TFT and 6D chiral CFTJun 13 2002Jul 04 2002We perform a canonical and BRST analysis of a seven-dimensional Chern-Simons theory on a manifold with boundary. The main result is that the 7D theory induces for consistency a chiral two-form on the 6D boundary. We also comment on similar behaviour in ... More

Matrix Models and Lorentz InvarianceJul 30 2010The question of Lorentz invariance in the membrane matrix model is addressed

On The Construction of Zero Energy States in Supersymmetric Matrix Models IIINov 05 1997For a supersymmetric Hamiltonian appearing in the matrix model related to 11 dimensional supermembranes, zero energy states are constructed. A useful symmetry, and an energy-equipartition property is pointed out.

On the Deformation of Time Harmonic FlowsDec 02 1996It is shown that time-harmonic motions of spherical and toroidal surfaces can be deformed non-locally without loosing the existence of infinitely many constants of the motion.

Asymptotic Zero Energy States for SU(N greater or equal 3)Dec 17 1999Some ideas are presented concerning the question which of the harmonic wavefunctions constructed in [hep-th/9909191] may be annihilated by all supercharges.

On M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving DiffeomorphismsFeb 05 1996M-branes are related to theories on function spaces $\cal{A}$ involving M-linear non-commutative maps from $\cal{A} \times \cdots \times \cal{A}$ to $\cal{A}$. While the Lie-symmetry-algebra of volume preserving diffeomorphisms of $T^M$ cannot be deformed ... More

Fundamental Parameters from Precision TestsFeb 12 2001I review how electroweak precision observables can be used to constrain the Higgs boson mass and the strong coupling constant. Implications for physics beyond the Standard Model are also addressed.

Four-Fermi Operators in $e^+$ $e^-$ Annihilation Experiments and Uncertainties in $Z$ Boson PropertiesNov 25 1994We investigate the effects of possible new four-Fermi operators on $e^+$ $e^-$ annihilation experiments. They represent a class of new physics, which has the potential to change the parameters of the $Z$ boson and at the same time interferes with their ... More

Electroweak Physics at LHCJul 28 2006Jul 30 2006The prospects for electroweak physics at the LHC are reviewed focusing mainly on precision studies. This includes projections for measurements of the effective Z pole weak mixing angle, of top quark, W boson, and Higgs scalar properties, and new physics ... More

Implications of Precision Electroweak Measurements for Physics Beyond the SMMar 22 1999We perform a global analysis of electroweak precision measurements to find constraints on physics beyond the Standard Model. In particular, we discuss oblique parameters, which are useful to constrain additional matter fields, as well as extra $Z$ bosons, ... More

Truthful Feedback for Sanctioning Reputation MechanismsMar 15 2012For product rating environments, similar to that of Amazon Reviews, it has been shown that the truthful elicitation of feedback is possible through mechanisms which pay buyer reports contingent on the reports of other buyers. We study whether similar ... More

The Gutzwiller Trace Formula for Quantum Systems with SpinApr 10 2001The Gutzwiller trace formula provides a semiclassical approximation for the density of states of a quantum system in terms of classical periodic orbits. In its original form Gutzwiller derived the trace formula for quantum systems without spin. We will ... More

Coamoebas of polynomials supported on circuitsJan 20 2016We study coamoebas of polynomials supported on circuits. Our results include an explicit description of the space of coamoebas, a relation between connected components of the coamoeba complement and critical points of the polynomial, an upper bound on ... More

The Union-Closed Sets Conjecture for Small FamiliesAug 24 2015Aug 25 2015We prove that the union-closed sets conjecture is true for separating union-closed families $\mathcal{A}$ with $|\mathcal{A}| \leq 2\left(m+\frac{m}{\log_2(m)-\log_2\log_2(m)}\right)$ where $m$ denotes the number of elements in $\mathcal{A}$.

On t-dependent hyperbolic systems. Part 2Aug 11 2015Oct 18 2016We consider hyperbolic equations with time-dependent coefficients and develop an abstract framework to derive the asymptotic behaviour of the representation of solutions for large times. We are dealing with generic situations where the large-time asymptotics ... More

On the Combination Procedure of Correlated ErrorsJul 29 2015When averages of different experimental determinations of the same quantity are computed, each with statistical and systematic error components, then frequently the statistical and systematic components of the combined error are quoted explicitly. These ... More

The rectilinear Steiner tree problem with given topology and length restrictionsDec 16 2014We consider the problem of embedding the Steiner points of a Steiner tree with given topology into the rectilinear plane. Thereby, the length of the path between a distinguished terminal and each other terminal must not exceed given length restrictions. ... More