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Small-scale resolving simulations of the turbulent mixing in confined planar jets using one-dimensional turbulenceApr 17 2019Small-scale effects of turbulent mixing are numerically investigated by applying the map-based, stochastic, one-dimensional turbulence (ODT) model to confined planar jets. The model validation is carried out for the momentum transport by comparing ODT ... More

The transition to the ultimate regime of thermal convection from a stochastic one-dimensional turbulence perspectiveJun 15 2019The Rayleigh number $Ra$ dependence of the Nusselt number $Nu$ in turbulent Rayleigh--B\'enard convection is numerically investigated for a moderate and low Prandtl number, $Pr=0.7$ and $0.021$, respectively. Here we specifically address the case of a ... More

Generalized logarithmic Gauss curvature flow of the leaves of a foliationJun 09 2017In our paper we study a generalized logarithmic Gauss curvature flow of the leaves of a foliation of $\mathbb{R}^{n+1}\setminus \{0\}$ consisting of uniformly convex hypersurfaces. We show that there is exactly one leaf in this foliation so that its flow ... More

Analysis of Ward's MethodJul 11 2019We study Ward's method for the hierarchical $k$-means problem. This popular greedy heuristic is based on the \emph{complete linkage} paradigm: Starting with all data points as singleton clusters, it successively merges two clusters to form a clustering ... More

Simultaneous Extraction of the Fermi constant and PMNS matrix elements in the presence of a fourth generationMar 23 2010Apr 08 2010Several recent studies performed on constraints of a fourth generation of quarks and leptons suffer from the ad-hoc assumption that 3 x 3 unitarity holds for the first three generations in the neutrino sector. Only under this assumption one is able to ... More

Local attachment in networks under churnMay 31 2007In this contribution we introduce local attachment as an universal network-joining protocol for peer-to-peer networks, social networks, or other kinds of networks. Based on this protocol nodes in a finite-size network dynamically create power-law connectivity ... More

Non equilibrium dynamics below the super-roughening transitionOct 21 2004The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the autocorrelations, ... More

Uncovering the Semantics of Wikipedia CategoriesJun 28 2019The Wikipedia category graph serves as the taxonomic backbone for large-scale knowledge graphs like YAGO or Probase, and has been used extensively for tasks like entity disambiguation or semantic similarity estimation. Wikipedia's categories are a rich ... More

IMEX based Multi-Scale Time Advancement in ODTLESJun 05 2018In this paper we overcome a key problem in an otherwise highly potential approach to study turbulent flows, ODTLES (One-Dimensional Turbulence Large Eddy Simulation). From a methodological point of view, ODTLES is an approach in between Direct Numerical ... More

XLES Part II: From Extended Large Eddy Simulation to ODTLESJun 16 2015In turbulence research and flow applications, turbulence models like RaNS (Reynolds averaged Navier-Stokes) models and LES (Large Eddy Simulation) are used. Both models filter the governing flow equations. Thus a scale separation approach is introduced ... More

XLES Part I: Introduction to Extended Large Eddy SimulationJun 16 2015Direct numerical simulation (DNS), mostly used in fundamental turbulence research, is limited to low turbulent intensities due the current and future computer resources. Standard turbulence models, like RaNS (Reynolds averaged Navier-Stokes) and LES (Large ... More

Maximum flow and topological structure of complex networksMar 01 2005Jan 26 2006The problem of sending the maximum amount of flow $q$ between two arbitrary nodes $s$ and $t$ of complex networks along links with unit capacity is studied, which is equivalent to determining the number of link-disjoint paths between $s$ and $t$. The ... More

On minimal immersions in Finsler spacesMar 31 2014Apr 01 2014We explore a connection between the Finslerian area functional and well-investigated Cartan functionals to prove new Bernstein theorems, uniqueness and removability results for Finsler-minimal graphs, as well as enclosure theorems and isoperimetric inequalities ... More

On sphere-filling ropesMay 25 2010What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The ... More

A computational approach to the Kostant-Sekiguchi correspondenceSep 25 2012Let g be a real form of a simple complex Lie algebra. Based on ideas of Djokovic and Vinberg, we describe an algorithm to compute representatives of the nilpotent orbits of g using the Kostant-Sekiguchi correspondence. Our algorithms are implemented for ... More

Super-Aging in two-dimensional random ferromagnetsNov 09 2006We study the aging properties, in particular the two-time autocorrelations, of the two-dimensional randomly diluted Ising ferromagnet below the critical temperature via Monte-Carlo simulations. We find that the autocorrelation function displays additive ... More

Domain Growth in Ising Systems with Quenched DisorderFeb 23 2005We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either nonconserved (Glauber) ... More

Tangent-point repulsive potentials for a class of non-smooth $m$-dimensional sets in $\R^n$. Part I: Smoothing and self-avoidance effectsFeb 17 2011We consider repulsive potential energies $\E_q(\Sigma)$, whose integrand measures tangent-point interactions, on a large class of non-smooth $m$-dimensional sets $\Sigma$ in $\R^n.$ Finiteness of the energy $\E_q(\Sigma)$ has three sorts of effects for ... More

The Random-bond Potts model in the large-q limitJun 12 2001We study the critical behavior of the q-state Potts model with random ferromagnetic couplings. Working with the cluster representation the partition sum of the model in the large-q limit is dominated by a single graph, the fractal properties of which ... More

Proceedings of the 3rd MANIAC Challenge, Berlin, Germany, July 27 - 28, 2013Jan 06 2014Jan 08 2014This is the Proceedings of the 3rd MANIAC Challenge, which was held in Berlin, Germany, July 27 - 28, 2013.

Search and capture efficiency of dynamic microtubules for centrosome relocation during IS formationMay 29 2019Upon contact with antigen presenting cells (APCs) cytotoxic T lymphocytes (T cells) establish a highly organized contact zone denoted as immunological synapse (IS). The formation of the IS implies relocation of the microtubule organizing center (MTOC) ... More

Non-adiabatic and time-resolved photoelectron spectroscopy for molecular systemsMar 21 2014We quantify the non-adiabatic contributions to the vibronic sidebands of equilibrium and explicitly time-resolved non-equilibrium photoelectron spectra for a vibronic model system of Trans-Polyacetylene. Using exact diagonalization, we directly evaluate ... More

Anomalous Dirac point transport due to extended defects in bilayer grapheneDec 05 2016Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the existence of these ... More

Optimal control theory for quantum electrodynamics: an initial state problemAug 08 2018In conventional quantum optimal control theory, the parameters that determine an external field are optimised to maximise some predefined function of the trajectory, or of the final state, of a matter system. The situation changes in the case of quantum ... More

Reaction-diffusion model for STIM-ORAI interaction: the role of ROS and mutationsApr 23 2018Feb 20 2019Release of $Ca^{2+}$ from endoplasmatic retriculum (ER) $Ca^{2+}$ stores causes stromal interaction molecules (STIM) in the ER membrane and ORAI proteins in the plasma membrane (PM) to interact and form the $Ca^{2+}$ release activated $Ca^{2+}$ (CRAC) ... More

A note on expansion of convex plane curves via inverse curvature flowJun 16 2014Recently Andrews and Bryan [3] discovered a comparison function which allows them to shorten the classical proof of the well-known fact that the curve shortening flow shrinks embedded closed curves in the plane to a round point. Using this comparison ... More

Parameter estimation for power-law distributions by maximum likelihood methodsApr 14 2007Aug 11 2007Distributions following a power-law are an ubiquitous phenomenon. Methods for determining the exponent of a power-law tail by graphical means are often used in practice but are intrinsically unreliable. Maximum likelihood estimators for the exponent are ... More

Anisotropic Interface Depinning - Numerical ResultsMay 03 1996We study numerically a stochastic differential equation describing an interface driven along the hard direction of an anisotropic random medium. The interface is subject to a homogeneous driving force, random pinning forces and the surface tension. In ... More

Critical Behavior of the 3d Random Field Ising Model: Two-Exponent Scaling or First Order Phase Transition?Mar 08 1995In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the random fields ... More

Interface Depinning in a Disordered Medium - Numerical ResultsFeb 26 1993We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be characterized by a ... More

Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb FrictionNov 07 2009Dec 30 2009We analyze an adaptive finite element/boundary element procedure for scalar elastoplastic interface problems involving friction, where a nonlinear uniformly monotone operator such as the p-Laplacian is coupled to the linear Laplace equation on the exterior ... More

Correlated Electron-Nuclear Dynamics with Conditional Wave FunctionsMay 09 2014Feb 17 2016The molecular Schr\"odinger equation is rewritten in terms of non-unitary equations of motion for the nuclei (or electrons) that depend parametrically on the configuration of an ensemble of generally defined electronic (or nuclear) trajectories. This ... More

Cavity Born-Oppenheimer Approximation for Correlated Electron-Nuclear-Photon SystemsNov 28 2016In this work, we illustrate the recently introduced concept of the cavity Born-Oppenheimer approximation for correlated electron-nuclear-photon problems in detail. We demonstrate how an expansion in terms of conditional electronic and photon-nuclear wave ... More

Constraints on exclusive branching fractions $BF_i(B^+\to X_c^il^+ν)$ from moment measurements in inclusive $B\to X_clν$ decaysFeb 12 2014As an alternative to direct measurements, we extract exclusive branching fractions of semileptonic B-meson decays to charmed mesons, $BF_i(B\to X_c^il\nu)$ with $X_c^i = D, D^*, D_0, D'_1, D_1, D_2, D', D'^*$ and non-resonant final states $(D^{(*)}\pi)_{nr}$, ... More

A determinant-free method to simulate the parameters of large Gaussian fieldsSep 11 2017We propose a determinant-free approach for simulation-based Bayesian inference in high-dimensional Gaussian models. We introduce auxiliary variables with covariance equal to the inverse covariance of the model. The joint probability of the auxiliary model ... More

Non-collapsing for nearly spherical closed curves under power curvature flowDec 11 2013We show non-collapsing for the evolution of nearly spherical closed convex curves in \mathbb{R}^2 under power curvature flow using two-point-methods.

Comment on: Dynamic and Static Properties of the Randomly Pinned Flux ArrayMar 17 1995We reconsider the model of the randomly pinned planar flux array (or the two-dimensional XY-model with random fields and no vortices) in extensive Monte Carlo simulations. We show that contrary to what has been reported recently [Phys.\ Rev.\ Lett.\ {\bf ... More

Thermocycling experiments with the three-dimensional Ising spin glass modelFeb 27 1994A characteristic feature of the non--equilibrium dynamics of real spin glasses at low temperatures are strong aging effects. These phenomena can be manipulated by changing the external parameters in various ways: a thermo-cycling experiment consists for ... More

Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass ModelMar 26 1993The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature dependent exponents ... More

Nonstandard Measure Spaces with Values in non-Archimedean FieldsDec 29 2016The aim of this contribution is to bring together the areas of $p$-adic analysis and nonstandard analysis. We develop a nonstandard measure theory with values in a complete non-Archimedean valued field $K$, e.g. the $p-$adic numbers $\mathbb{Q}_p$. The ... More

Kohn-Sham Approach to Quantum Electrodynamical Density Functional Theory: Exact Time-Dependent Effective Potentials in Real SpaceSep 03 2015The density-functional approach to quantum electrodynamics is extending traditional density-functional theory and opens the possibility to describe electron-photon interactions in terms of effective Kohn-Sham potentials. In this work, we numerically construct ... More

Aging in Disordered SystemsJul 13 1995The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system within the glassy ... More

Towards Swarm Calculus: Urn Models of Collective Decisions and Universal Properties of Swarm PerformanceOct 24 2012Mar 18 2013Methods of general applicability are searched for in swarm intelligence with the aim of gaining new insights about natural swarms and to develop design methodologies for artificial swarms. An ideal solution could be a `swarm calculus' that allows to calculate ... More

The inverse F-curvature flow in ARW spacesJun 23 2011We consider the so-called inverse $F$-curvature flow (IFCF) $\dot x = -F^{-1}\nu$ in ARW spaces, i.e. in Lorentzian manifolds with a special future singularity. Here, $F$ denotes a curvature function of class $(K^*)$, which is homogenous of degree one, ... More

Wavefront sets and polarizations on supermanifoldsDec 24 2015Feb 15 2017In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a suitable notion of super wavefront set for superdistributions ... More

Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chainSep 26 2005We use extensive density matrix renormalization group (DMRG) calculations to explore the phase diagram of the random S=1 antiferromagnetic Heisenberg chain with a power-law distribution of the exchange couplings. We use open chains and monitor the lowest ... More

Disorder Induced Phases in Higher Spin Antiferromagnetic Heisenberg ChainsJan 07 2003Jun 29 2004Extensive DMRG calculations for spin S=1/2 and S=3/2 disordered antiferromagnetic Heisenberg chains show a rather distinct behavior in the two cases. While at sufficiently strong disorder both systems are in a random singlet phase, we show that weak disorder ... More

Run-and-pause dynamics of cytoskeletal motor proteinsJun 07 2016Nov 28 2016Cytoskeletal motor proteins are involved in major intracellular transport processes which are vital for maintaining appropriate cellular function. The motor exhibits distinct states of motility: active motion along filaments, and effectively stationary ... More

Light-Matter Interactions via the Exact Factorization ApproachMar 06 2018May 03 2018The exact factorization approach, originally developed for electron-nuclear dynamics, is extended to light-matter interactions within the dipole approximation. This allows for a Schrodinger equation for the photonic wavefunction, in which the potential ... More

On the applicability of the level set method beyond the flamelet regime in thermonuclear supernova simulationsJan 15 2007In thermonuclear supernovae, intermediate mass elements are mostly produced by distributed burning provided that a deflagration to detonation transition does not set in. Apart from the two-dimensional study by Roepke & Hillebrandt (2005), very little ... More

Spectroscopic Measurements Using the H1 and ZEUS DetectorsJun 08 2005Results on spectroscopy from the H1 and ZEUS collaborations are presented. The main focus is to search for baryon states which could be interpreted as pentaquarks. This includes states decaying to K^0_sp and K^0_s\bar{p}, \Xi\pi and D*p. In addition an ... More

Coarse homology of leavesNov 11 2014We investigate the coarse homology of leaves in foliations of compact manifolds. This is motivated by the observation that the non-leaves constructed by Schweitzer and by Zeghib all have non-finitely generated coarse homology. This led us to ask whether ... More

Localized spectral asymptotics for boundary value problems and correlation effects in the free Fermi gas in general domainsJun 07 2010We rigorously derive explicit formulae for the pair correlation function of the ground state of the free Fermi gas in the thermodynamic limit for general geometries of the macroscopic regions occupied by the particles and arbitrary dimension. As a consequence ... More

Transverse Target Spin asymmetries in exclusive $ρ^0$ muoproductionNov 06 2013Generalized Parton Distributions (GPDs) provide a dynamical picture of the nucleon. The exclusive production of $\rho^0$ mesons on a transversely polarised target is sensitive to the nucleon helicity-flip GPDs $E$ which are related to the total angular ... More

QCD Thermodynamics with Almost Realistic Quark MassesJun 29 2006Ongoing calculations on the QCDOC supercomputer at Brookhaven National Laboratory and the APEnext installation at the University of Bielefeld aim to determine the critical temperature of the QCD phase transition as well as the equation of state with almost ... More

Universal critical behavior and the transition temperature in (2+1)-flavor QCDDec 10 2010We discuss the universal critical behavior in (2+1)-flavor QCD by analyzing lattice data from improved staggered fermions generated by the HotQCD Collaboration. We present recent results from two different lattice discretizations and various lattice spacings ... More

QCD Thermodynamics with an almost realistic quark mass spectrumJan 25 2006We will report on the status of a new large scale calculation of thermodynamic quantities in QCD with light up and down quarks corresponding to an almost physical light quark mass value and a heavier strange quark mass. These calculations are currently ... More

Physics of Nuclear AntishadowingNov 14 2005Shadowing and antishadowing of the electromagnetic nuclear structure functions are produced by the coherence of multiscattering quark nuclear processes. This picture leads to substantially different antishadowing for charged and neutral current processes, ... More

Characterization of highly anisotropic three-dimensionally nanostructured surfacesAug 13 2013Generalized ellipsometry, a non-destructive optical characterization technique, is employed to determine geometrical structure parameters and anisotropic dielectric properties of highly spatially coherent three-dimensionally nanostructured thin films ... More

Picard groups in $p$-adic Fourier theoryMar 27 2009Jun 25 2013Let $L$ be a proper finite extension of the field of $p$-adic numbers and let $o\subset L$ be its integers, viewed as an abelian locally $L$-analytic group. Let $\hat{o}$ be the rigid analytic group variety parametrizing the locally analytic characters ... More

On locally analytic Beilinson-Bernstein localization and the canonical dimensionAug 07 2011Jun 25 2013Let G be a connected split reductive group over a p-adic field. In the first part of the paper we prove, under certain assumptions on G and the prime p, a localization theorem of Beilinson-Bernstein type for admissible locally analytic representations ... More

Auslander Regularity of p-adic Distribution AlgebrasMar 15 2007Oct 01 2012Given a compact p-adic Lie group we show that its distribution algebra is Frechet-Stein with Auslander regular Banach algebras. As an application, we show that nonzero coadmissible modules coming from smooth or, more general, U(g)-finite representations ... More

Bridgeland Stability on Threefolds - Some Wall CrossingsSep 15 2015Following up on the construction of Bridgeland stability condition on $\mathbb{P}^3$ by Macr\`i, we compute first examples of wall crossing behaviour. In particular, for Hilbert schemes of curves such as twisted cubics or complete intersections of the ... More

Counterexample to the Generalized Bogomolov-Gieseker Inequality for ThreefoldsFeb 16 2016We give a counterexample to the generalized Bogomolov-Gieseker inequality for threefolds conjectured by Bayer, Macr\`i and Toda using the blow up of a point over three dimensional projective space.

Functorial Approach to Graph and Hypergraph TheoryJul 04 2019We provide a new approach to categorical graph and hypergraph theory by using categorical syntax and semantics. For each monoid $M$ and action on a set $X$, there is an associated presheaf topos of $(X,M)$-graphs where each object can be interpreted as ... More

Error estimate for a finite element approximation of the solution of a linear parabolic equation on a two-dimensional surfaceApr 15 2016Apr 21 2016We show that a certain error estimate for a fully discrete finite element approximation of the solution of the heat equation which is defined in a two-dimensional Euclidean domain carries over to the case of a general linear parabolic equation which is ... More

Numerical approximation of positive power curvature flow via deterministic gamesApr 15 2015May 04 2015We approximate the level set solution for the motion of an embedded closed curve in the plane with normal speed $\max(0, \kappa)^{\ga}$ where $\kappa$ is the curvature of the curve and $\frac{1}{3}<\ga<1$ by the value functions of a family of deterministic ... More

Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass ModelMar 26 1993The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature dependent exponents ... More

A note on inverse mean curvatrue flow in cosmological spacetimesNov 21 2012In [8] Gerhardt proves longtime existence for the inverse mean curvature flow in globally hyperbolic Lorentzian manifolds with compact Cauchy hypersurface, which satisfy three main structural assumptions: a strong volume decay condition, a mean curvature ... More

Smoothed Analysis of the Successive Shortest Path AlgorithmJan 22 2015Sep 15 2015The minimum-cost flow problem is a classic problem in combinatorial optimization with various applications. Several pseudo-polynomial, polynomial, and strongly polynomial algorithms have been developed in the past decades, and it seems that both the problem ... More

Non-equilibrium quantum relaxation across a localization-delocalization transitionJul 29 2014Nov 25 2014We consider the one-dimensional $XX$-model in a quasi-periodic transverse-field described by the Harper potential, which is equivalent to a tight-binding model of spinless fermions with a quasi-periodic chemical potential. For weak transverse field (chemical ... More

Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energiesApr 17 2015Oct 02 2015In this paper, we establish compactness for various geometric curvature energies including integral Menger curvature, and tangent-point repulsive potentials, defined a priori on the class of compact, embedded $m$-dimensional Lipschitz submanifolds in ... More

Constructing cocyclic Hadamard matrices of order 4pApr 25 2019Jul 17 2019Cocyclic Hadamard matrices (CHMs) were introduced by de Launey and Horadam as a class of Hadamard matrices with interesting algebraic properties. \'O Cath\'ain and R\"oder described a classification algorithm for CHMs of order $4n$ based on relative difference ... More

Ab-initio Optimized Effective Potentials for Real Molecules in Optical Cavities: Photon Contributions to the Molecular Ground stateOct 22 2017We introduce a simple scheme to efficiently compute photon exchange-correlation contributions due to the coupling to transversal photons as formulated in the newly developed quantum-electrodynamical density functional theory (QEDFT). Our construction ... More

Atoms and Molecules in Cavities: From Weak to Strong Coupling in QED ChemistrySep 13 2016In this work, we provide an overview of how well-established concepts in the fields of quantum chemistry and material sciences have to be adapted when the quantum nature of light becomes important in correlated matter-photon problems. Therefore, we analyze ... More

Large-scale Velocities and Primordial Non-GaussianityMay 21 2010Jun 01 2010We study the peculiar velocities of density peaks in the presence of primordial non-Gaussianity. Rare, high density peaks in the initial density field can be identified with tracers such as galaxies and clusters in the evolved matter distribution. The ... More

Self-Consistent Cosmological Simulations of DGP Braneworld GravityMay 06 2009Sep 16 2009We perform cosmological N-body simulations of the Dvali-Gabadadze-Porrati braneworld model, by solving the full non-linear equations of motion for the scalar degree of freedom in this model, the brane bending mode. While coupling universally to matter, ... More

Dynamical Masses in Modified GravityMar 01 2010Mar 11 2010Differences in masses inferred from dynamics, such as velocity dispersions or X-rays, and those inferred from lensing are a generic prediction of modified gravity theories. Viable models however must include some non-linear mechanism to restore General ... More

Cosmological Simulations of Normal-Branch Braneworld GravityOct 01 2009Nov 30 2009We introduce a cosmological model based on the normal branch of DGP braneworld gravity with a smooth dark energy component on the brane. The expansion history in this model is identical to LambdaCDM, thus evading all geometric constraints on the DGP cross-over ... More

Sources of false positives and false negatives in the STATCHECK algorithm: Reply to Nuijten et al. (2015)Oct 04 2016Oct 10 2016STATCHECK is an R algorithm designed to scan papers automatically for inconsistencies between test statistics and their associated p values (Nuijten et al., 2015). The goal of this comment is to point out an important and well-documented flaw in this ... More

Sources of false positives and false negatives in the STATCHECK algorithm: Reply to Nuijten et al. (2016)Oct 04 2016Nov 15 2016STATCHECK is an R algorithm designed to scan papers automatically for inconsistencies between test statistics and their associated p values (Nuijten et al., 2016). The goal of this comment is to point out an important and well-documented flaw in this ... More

Proceedings of the 2014 Joint International Accelerator School: Beam Loss and Accelerator Protection (JAS 2014), Newport Beach, CA, USA, 5-14 Nov 2014Aug 11 2016Many particle accelerators operate with very high beam power and very high energy stored in particle beams as well as in magnet systems. In the future, the beam power in high intensity accelerators will further increase. The protection of the accelerator ... More

Canonical Lifts of Cycle Classes of SectionsSep 13 2016We present a general strategy to construct canonical lifts of $\ell$-adic cycle classes of sections of $p$-adic projective anabelian curves to the cohomology of suitable integral models. Using this strategy, we give the construction of a canonical lift ... More

Behavioral criteria of feedforward processing in rapid-chase theory: Some formal considerationsMay 22 2014Oct 15 2014The rapid-chase theory of response priming defines a set of behavioral criteria that indicate feedforward processing of visual stimulus features rather than recurrent processing. These feedforward criteria are strong predictions from a feedforward model ... More

Topological Entropy Bounds for Switched Linear Systems with Lie StructureOct 09 2016In this thesis, we provide an initial investigation into bounds for topological entropy of switched linear systems. Entropy measures, roughly, the information needed to describe the behavior of a system with finite precision on finite time horizons, in ... More

Weak Lensing Probes of Modified GravityMay 30 2008Jul 14 2008We study the effect of modifications to General Relativity on large scale weak lensing observables. In particular, we consider three modified gravity scenarios: f(R) gravity, the DGP model, and TeVeS theory. Weak lensing is sensitive to the growth of ... More

Rings of integers of type $K(π,1)$May 23 2007Nov 14 2007We investigate the Galois group $G_S(p)$ of the maximal $p$-extension unramified outside a finite $S$ of primes of a number field in the (tame) case, when no prime dividing $p$ is in $S$. We show that the cohomology of $G_S(p)$ is 'often' isomorphic to ... More

On unitary deformations of smooth modular representationsDec 20 2009Oct 15 2012Let G be a locally analytic group. We use deformation theory and Emerton's 'augmented' Iwasawa modules to study the possible liftings of a given absolutely irreducible smooth modular representation of G to a unitary Banach space representation. Final ... More

Verma modules over p-adic Arens-Michael envelopes of reductive Lie algebrasAug 23 2010Jun 25 2013Let K be a locally compact nonarchimedean field, g a split reductive Lie algebra over K and U(g) its universal enveloping algebra. We study the category C_g of coadmissible modules over the nonarchimedean Arens-Michael envelope of U(g). Let p be a parabolic ... More

Luminosity Function of Gamma-Ray Bursts Derived Without Benefit of RedshiftsJan 10 2001We show that the Euclidean value of <V/Vmax> for gamma-ray bursts (GRB) selected on a timescale of 1024 ms is correlated with spectral hardness. The value of <V/Vmax> ranges from 0.42 for soft bursts to 0.26 for the hardest bursts. Given that the Euclidean ... More

Luminosities, Space Densities and Redshift Distributions of Gamma-Ray BurstsJan 07 2000We use the BD2 sample of gamma-ray bursts (GRBs) based on 5.9 years of BATSE DISCLA data with a variety of models of the luminosity function to derive characteristic GRB luminosities, space densities and redshift distributions. Previously published results ... More

Forms of an affinoid disc and ramificationDec 14 2012Dec 01 2014Let $k$ be a complete nonarchimedean field and let $X$ be an affinoid closed disc over $k$. We classify the tamely ramified twisted forms of $X$. Generalizing work of P. Russell on inseparable forms of the affine line we construct explicit families of ... More

A Griffith-Euler-Bernoulli theory for thin brittle beams derived from nonlinear models in variational fracture mechanicsFeb 24 2016We study a planar thin brittle beam subject to elastic deformations and cracks described in terms of a nonlinear Griffith energy functional acting on $SBV$ deformations of the beam. In particular we consider the case in which elastic bulk contributions ... More

Density functional for ternary non-additive hard sphere mixturesAug 31 2011Sep 27 2011Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the previously ... More

Luminosities and Space Densities of Short Gamma-Ray BurstsAug 29 2001Using the Euclidean value of <V/Vmax> as a cosmological distance indicator, we derive the isotropic-equivalent characteristic peak luminosity of gamma-ray bursts both longer and shorter than 2 s. The short bursts have essentially the same characteristic ... More

Exponential Sums of Witt Towers over AffinoidsJun 05 2019In this paper we construct a Dwork theory for general exponential sums over affinoids in Witt towers. Using this, we compute the degree of the $L$-function, its Hodge polygon and examine when the Hodge and Newton polygons coincide.

A generalized Bogomolov-Gieseker inequality for the smooth quadric threefoldSep 17 2013May 07 2014We prove a generalized Bogomolov-Gieseker inequality as conjectured by Bayer, Macr\`i and Toda for the smooth quadric threefold. This implies the existence of a family of Bridgeland stability conditions.

Finite element approximation of power mean curvature flowAug 11 2013In [21] the evolution of hypersurfaces in $\mathbb{R}^{n+1}$ with normal speed equal to a power $k>1$ of the mean curvature is considered and the levelset solution $u$ of the flow is obtained as the $C^0$-limit of a sequence $u^{\epsilon}$ of smooth functions ... More

$L^{\infty}$-error estimate for the finite element method on two dimensional surfacesAug 25 2015Aug 26 2015We approximate the solution of the equation $$ -\Delta_S u+u = f $$ on a two-dimensional, embedded, orientable, closed surface $S$ where $-\Delta_S$ denotes the Laplace Beltrami operator on $S$ by using continuous, piecewise linear finite elements on ... More

Measurement of sin2beta in tree-dominated B0-decays and ambiguity removalFeb 23 2007The most recent results from the B-factories on the time-dependent CP asymmetries measured in B0-decays mediated by b --> c c(bar) s quark-transitions are reviewed. The Standard Model interpretation of the results in terms of the parameter sin2beta leads ... More