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Results for "G. Hartmann"

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Gaussian quantum fluctuations in interacting many particle systemsDec 17 2003Apr 13 2004We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state becomes a Gaussian ... More
New Insights from One-Dimensional Spin GlassesMar 24 2008The concept of replica symmetry breaking found in the solution of the mean-field Sherrington-Kirkpatrick spin-glass model has been applied to a variety of problems in science ranging from biological to computational and even financial analysis. Thus it ... More
The RF-System of the New Gsi High Current Linac Hsithe RF-System of the New Gsi High Current Linac HsiAug 18 2000The RF part of the new high current injector-linac HSI consists of five cavities with the new operating frequency of 36 MHz instead of 27 MHz of the removed Wideroe type injector. The calculated power requirements of the cavities including beam load in ... More
Pointwise multipliers in Hardy-Orlicz spaces, and interpolationOct 26 2007We study multipliers of Hardy-Orlicz spaces $\mH_{\Phi}$ which are strictly contained between $\bigcup_{p>0}H^p$ and so-called ``big'' Hardy-Orlicz spaces. Big Hardy-Orlicz spaces, carrying an algebraic structure, are equal to their multiplier algebra, ... More
A criteria of strong H-differentiabilityJul 19 2016Dec 01 2016We give a criteria for a Malliavin differentiable function to be strongly H-differentiable.
Direct observation of nanometer-scale pinning sites in (Nd$_{0.33}$,Eu$_{0.20}$,Gd$_{0.47}$)Ba$_2$Cu$_3$O$_{7-δ}$ single crystalsJul 25 2008We report on the observation of self-organized stripe-like structures on the as-grown surface and in the bulk of (Nd,Eu,Gd)Ba$_2$Cu$_3$O$_y$ single crystals. The periodicity of the stripes on the surface lies between 500 and 800 nm. These are possibly ... More
From Nanopores to Macropores: Fractal Morphology of GraphiteSep 18 2015We present a comprehensive structural characterization of two different highly pure nuclear graphites that compasses all relevant length scales from nanometers to sub-mm. This has been achieved by combining several experiments and neutron techniques: ... More
Ferromagnetism in the Hubbard model on the square lattice: Improved instability criterion for the Nagaoka stateDec 08 1995The instability of the fully polarized ferromagnetic state (Nagaoka state) with respect to single spin flips is re-examined for the Hubbard model on the square lattice with a large family of variational wave functions which include correlation effects ... More
Ultrametricity and clustering of states in spin glasses: A one-dimensional viewJul 22 2008Jan 26 2009We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the model can be ... More
Exciton-Dominated Core-Level Absorption Spectra of Hybrid Organic-Inorganic Lead Halide PerovskitesApr 18 2018In a combined theoretical and experimental work, we investigate X-ray Absorption Near-Edge Structure (XANES) spectroscopy of the I $L_3$ and the Pb $M_5$ edges of the methylammonium lead iodide ($\textrm{MAPbI}_3$) hybrid inorganic-organic perovskite ... More
Kondo-like phonon scattering in thermoelectric clathratesNov 23 2017Crystalline solids are generally known as excellent heat conductors, amorphous materials or glasses as thermal insulators. It has thus come as a surprise that certain crystal structures defy this paradigm. A prominent example are type-I clathrates and ... More
Triplet superconductivity in a one-dimensional ferromagnetic t-J modelJul 27 1999In this paper we study the ground state phase diagram of a one-dimensional $t-U-J$ model, at half-filling. In the large-bandwidth limit and for ferromagnetic exchange with easy-plane anisotropy, a phase with gapless charge and massive spin excitations, ... More
Interaction of Infall and Winds in Young Stellar ObjectsOct 14 1999The interaction of a stellar or disk wind with a collapsing environment holds promise for explaining a variety of outflow phenomena observed around young stars. In this paper we present the first simulations of these interactions. The focus here is on ... More
Nano-Thermodynamics: On the minimal length scale for the existence of temperatureFeb 02 2005We consider a quantum system consisting of a regular chain of elementary subsystems with nearest neighbor interactions and assume that the total system is in a canonical state with temperature $T$. We analyze under what condition the state factors into ... More
Local Versus Global Thermal States: Correlations and the Existence of Local TemperaturesApr 29 2004Dec 01 2004We consider a quantum system consisting of a regular chain of elementary subsystems with nearest neighbor interactions and assume that the total system is in a canonical state with temperature $T$. We analyze under what condition the state factors into ... More
Girsanov reweighting for path ensembles and Markov state modelsMar 16 2017The sensitivity of molecular dynamics on changes in the potential energy function plays an important role in understanding the dynamics and function of complex molecules.We present a method to obtain path ensemble averages of a perturbed dynamics from ... More
Set-up for multi coincidence experiments of EUV to VIS photons and charged particles -- the solid angle maximization approachJun 11 2019The coincident detection of particles is a powerful method in experimental physics, enabling the investigation of a variety of projectile-target interactions. The vast majority of coincidence experiments is performed with charged particles, as they can ... More
Fundamentals of Nano-ThermodynamicsAug 06 2004Recent progress in the synthesis and processing of nano-structured materials and systems calls for an improved understanding of thermal properties on small length scales. In this context, the question whether thermodynamics and, in particular, the concept ... More
Strongly Coupled Plasma LiquidsOct 27 2007This paper intends to review some of the prominent properties of strongly coupled classical plasmas having in mind the possible link with the quark-gluon plasma created in heavy-ion collisions. Thermodynamic and transport properties of classical liquid-state ... More
Jacobians of Reflection GroupsMay 07 2004Steinberg showed that when a finite reflection group acts on a real or complex vector space of finite dimension, the Jacobian determinant of a set of basic invariants factors into linear forms which define the reflecting hyperplanes. This result generalizes ... More
The Virtue of Sacrificing Positivity: a Detailed Assessment of Master EquationsJun 06 2019The reduced dynamics of an open quantum system obtained from an underlying microscopic Hamiltonian can in general only approximately be described by a time local master equation. The quality of that approximation depends primarily on the coupling strength ... More
Large-deviation properties of the largest biconnected component for random graphsNov 12 2018We study the size of the largest biconnected components in sparse Erd\H{o}s-R\'enyi graphs with finite connectivity and Barab\'asi-Albert graphs with non-integer mean degree. Using a statistical-mechanics inspired Monte Carlo approach we obtain numerically ... More
On the Incommensurate Phase in Modulated Heisenberg ChainsMar 08 1998Using the density matrix renormalization group method (DMRG) we calculate the magnetization of frustrated S=1/2 Heisenberg chains for various modulation patterns of the nearest neighbour coupling: commensurate, incommensurate with sinusoidal modulation ... More
Molecular dynamics simulation of strongly coupled QCD plasmasJan 06 2006The properties of a strongly interacting quark plasma are investigated by molecular dynamics method including non-abelian quark-quark potential. Our main goal is to study the thermalization process in this system. We find an interesting resonance-like ... More
Energy size effects of two-dimensional Ising spin glassesFeb 25 2004Sep 04 2004We analyze exact ground-state energies of two-dimensional Ising spin glasses with either Gaussian or bimodal nearest-neighbor interactions for large system sizes and for three types of boundary conditions: free on both axes, periodic on both axes, and ... More
Ultrametric probe of the spin-glass state in a fieldMay 18 2012Nov 06 2012We study the ultrametric structure of phase space of one-dimensional Ising spin glasses with random power-law interaction in an external random field. Although in zero field the model in both the mean-field and non-mean-field universality classes shows ... More
Patching subfields of division algebrasApr 09 2009Oct 23 2009Given a field F, one may ask which finite groups are Galois groups of field extensions E/F such that E is a maximal subfield of a division algebra with center F. This question was originally posed by Schacher, who gave partial results over the field of ... More
Refinements to patching and applications to field invariantsApr 16 2014May 10 2018We introduce a notion of refinements in the context of patching, in order to obtain new results about local-global principles and field invariants in the context of quadratic forms and central simple algebras. The fields we consider are finite extensions ... More
Overcoming system-size limitations in spin glassesSep 18 2005In order to overcome the limitations of small system sizes in spin-glass simulations, we investigate the one-dimensional Ising spin chain with power-law interactions. The model has the advantage over traditional higher-dimensional Hamiltonians in that ... More
Emitter-site selective photoelectron circular dichroism of trifluoromethyloxiraneApr 07 2017The angle-resolved inner-shell photoionization of R-trifluoromethyloxirane, C3H3F3O, is studied experimentally and theoretically. Thereby, we investigate the photoelectron circular dichroism (PECD) for nearly-symmetric O 1s and F 1s electronic orbitals, ... More
Extended scaling for ferromagnetic Ising models with zero-temperature transitionsSep 06 2008Nov 12 2008We study the second-moment correlation length and the reduced susceptibility of two ferromagnetic Ising models with zero-temperature ordering. By introducing a scaling variable motivated by high-temperature series expansions, we are able to scale data ... More
The Orion OB1 Association II. The Orion-Eridanus BubbleMar 03 1995Observations of the interstellar medium in the vicinity of the Orion OB1 association show a cavity filled with hot ionized gas, surrounded by an expanding shell of neutral hydrogen (the Orion-Eridanus Bubble). In this paper we examine this cavity and ... More
Government and Social Media: A Case Study of 31 Informational World CitiesJan 18 2014Feb 28 2014Social media platforms are increasingly being used by governments to foster user interaction. Particularly in cities with enhanced ICT infrastructures (i.e., Informational World Cities) and high internet penetration rates, social media platforms are valuable ... More
Analysis of the loop length distribution for the negative weight percolation problem in dimensions d=2 through 6Jul 12 2012We consider the negative weight percolation (NWP) problem on hypercubic lattice graphs with fully periodic boundary conditions in all relevant dimensions from d=2 to the upper critical dimension d=6. The problem exhibits edge weights drawn from disorder ... More
Scaling behavior of interactions in a modular quantum system and the existence of local temperatureDec 18 2003We consider a quantum system of fixed size consisting of a regular chain of $n$-level subsystems, where $n$ is finite. Forming groups of $N$ subsystems each, we show that the strength of interaction between the groups scales with $N^{- 1/2}$. As a consequence, ... More
Band-Insulator-Metal-Mott-Insulator transition in the half--filled $t-t^{\prime}$ ionic-Hubbard chainNov 15 2006We investigate the ground state phase diagram of the half-filled $t-t^{\prime}$ repulsive Hubbard model in the presence of a staggered ionic potential $\Delta$, using the continuum-limit bosonization approach. We find, that with increasing on-site-repulsion ... More
Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte CarloSep 11 2002Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered systems. Here we compare these methods using direct calculations of ground states ... More
QCD Tests in High Energy CollisionsJun 26 1998Recent measurements and theoretical developments on the hadronic final state in deep-inelastic scattering, pp and ee collisions are presented.
Diluted antiferromagnets in a field seem to be in a different universality class than the random-field Ising modelFeb 11 2013Nov 13 2013We perform large-scale Monte Carlo simulations using the Machta-Newman-Chayes algorithms to study the critical behavior of both the diluted antiferromagnet in a field with 30% dilution and the random-field Ising model with Gaussian random fields for different ... More
Spin Waves in Quantum AntiferromagnetsJun 02 1995Using a self-consistent mean-field theory for the $S=1/2$ Heisenberg antiferromagnet Kr\"uger and Schuck recently derived an analytic expression for the dispersion. It is exact in one dimension ($d=1$) and agrees well with numerical results in $d=2$. ... More
Probing tails of energy distributions using importance-sampling in the disorder with a guiding functionMar 10 2006Apr 26 2006We propose a simple and general procedure based on a recently introduced approach that uses an importance-sampling Monte Carlo algorithm in the disorder to probe to high precision the tails of ground-state energy distributions of disordered systems. Our ... More
Modelling Radioactivities and other Observables from OB AssociationsMay 18 2000Recent observations of the diffuse Galactic gamma-ray glow at 1.809 MeV, attributed to the radioactive decay of 26Al, point towards a massive star origin of this radioactive isotope. Wolf Rayet stars and core-collapse supernovae appear to dominate the ... More
Local-global principles for torsors over arithmetic curvesAug 16 2011Jan 07 2015We consider local-global principles for torsors under linear algebraic groups, over function fields of curves over complete discretely valued fields. The obstruction to such a principle is a version of the Tate-Shafarevich group; and for groups with rational ... More
Jarzynski's equality, fluctuation theorems, and variance reduction: Mathematical analysis and numerical algorithmsMar 25 2018Apr 08 2019In this paper, we study Jarzynski's equality and fluctuation theorems for diffusion processes. While some of the results considered in the current work are known in the (mainly physics) literature, we review and generalize these nonequilibrium theorems ... More
Gravitationally bound monopolesSep 25 2000Nov 30 2000We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass ... More
Optimal control of Markov jump processes : Asymptotic analysis, algorithms and applications to the modelling of chemical reaction systemsDec 01 2015Jul 04 2017Markov jump processes are widely used to model natural and engineered processes. In the context of biological or chemical applications one typically refers to the chemical master equation (CME), which models the evolution of the probability mass of any ... More
Weierstrass preparation and algebraic invariantsSep 28 2011Aug 31 2012We prove a form of the Weierstrass Preparation Theorem for normal algebraic curves over complete discrete valuation rings. While the more traditional algebraic form of Weierstrass Preparation applies just to the projective line over a base, our version ... More
Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinityJul 25 2016Dec 05 2016We consider Sturm-Liouville operators on a half line $[a,\infty), a>0$, with potentials that are growing at most quadratically at infinity. Such operators arise naturally in the analysis of hyperbolic manifolds, or more generally manifolds with cusps. ... More
The Spiral Wave Instability Induced by a Giant Planet: I. Particle Stirring in the Inner Regions of Protoplanetary DisksOct 26 2016We have recently shown that spiral density waves propagating in accretion disks can undergo a parametric instability by resonantly coupling with and transferring energy into pairs of inertial waves (or inertial-gravity waves when buoyancy is important). ... More
Are protoplanetary disks born with vortices? -- Rossby wave instability driven by protostellar infallMar 09 2015We carry out two-fluid, two-dimensional global hydrodynamic simulations to test whether protostellar infall can trigger Rossby wave instability (RWI) in protoplanetry disks. Our results show that infall can trigger the RWI and generate vortices near the ... More
Resolvent Trace Asymptotics on Stratified SpacesOct 09 2018Let $(M,g)$ be a compact smoothly stratified pseudomanifold with an iterated cone-edge metric satisfying a spectral Witt condition. Under these assumptions the Hodge-Laplacian $\Delta$ is essentially self-adjoint. We establish the asymptotic expansion ... More
Applications of patching to quadratic forms and central simple algebrasSep 25 2008Mar 13 2009This paper provides applications of patching to quadratic forms and central simple algebras over function fields of curves over henselian valued fields. In particular, we use a patching approach to reprove and generalize a recent result of Parimala and ... More
Partitioning a macroscopic system into independent subsystemsMar 31 2017Jun 06 2017We discuss the problem of partitioning a macroscopic system into a collection of independent subsystems. The partitioning of a system into replica-like subsystems is nowadays a subject of major interest in several field of theoretical and applied physics, ... More
Local-global principles for Galois cohomologyAug 31 2012Apr 10 2013This paper proves local-global principles for Galois cohomology groups over function fields $F$ of curves that are defined over a complete discretely valued field. We show in particular that such principles hold for $H^n(F, Z/mZ(n-1))$, for all $n>1$. ... More
Specific-Heat Exponent of Random-Field Systems via Ground-State CalculationsMay 15 2001Aug 15 2001Exact ground states of three-dimensional random field Ising magnets (RFIM) with Gaussian distribution of the disorder are calculated using graph-theoretical algorithms. Systems for different strengths h of the random fields and sizes up to N=96^3 are ... More
Measurement of double polarization observables in meson photoproduction off the proton with the CBELSA/TAPS experimentJan 23 2014One of the remaining problems within the standard model is to gain a good understanding of the low energy regime of QCD, where perturbative methods fail. One key towards a better understanding is baryon spectroscopy. Unfortunately, in the past most baryon ... More
The Gamma Ray Burst Rate at High Photon EnergiesMay 17 1996Some gamma-ray burst (GRB) spectra exhibit high energy tails with the highest photon energy detected at 18 GeV. The spectral slope of the high-energy tails is sufficiently flat in nu F_nu to consider the possibility of their detection at still higher ... More
Gravitating monopole and black holes at intermediate Higgs massesNov 18 1999Mar 10 2000Self-gravitating SU(2) Higgs magnetic monopoles exist up to a critical value of the ratio of the vector meson mass to the Planck mass, which depends on the Higgs boson mass. At the critical value a critical solution with a degenerate horizon is reached. ... More
Dilatonic monopoles and ''hairy'' black holesJun 25 2001Sep 13 2001We study gravitating monopoles and non-abelian black holes of SU(2) Einstein-Yang-Mills-Higgs theory coupled to a massless dilaton. The domain of existence of these solutions decreases with increasing dilaton coupling constant. The critical solutions ... More
Supersoft X-rays reveal a classical nova in the M 31 globular cluster Bol 126Nov 20 2012[Abridged] Classical novae (CNe) represent the main class of supersoft X-ray sources (SSSs) in the central region of our neighbouring galaxy M 31. Only three confirmed novae and three SSSs have been discovered in globular clusters (GCs) of any galaxy ... More
LOTIS Search for Early Time Optical Afterglows: GRB 971227Feb 12 1999Jul 12 1999We report on the very early time search for an optical afterglow from GRB 971227 with the Livermore Optical Transient Imaging System (LOTIS). LOTIS began imaging the `Original' BATSE error box of GRB 971227 approximately 14 s after the onset of gamma-ray ... More
The polarization evolution of the optical afterglow of GRB 030329Dec 03 2003We report 31 polarimetric observations of the afterglow of GRB 030329 with high signal-to-noise and high sampling frequency. The data imply that the afterglow magnetic field has small coherence length and is mostly random, probably generated by turbulence. ... More
The X-ray Telescope of CASTFeb 22 2007May 10 2007The Cern Axion Solar Telescope (CAST) is in operation and taking data since 2003. The main objective of the CAST experiment is to search for a hypothetical pseudoscalar boson, the axion, which might be produced in the core of the sun. The basic physics ... More
Spitzer/IRAC Photometry of the Eta Chameleontis AssociationNov 10 2005We present IRAC 3.6, 4.5, 5.8 and 8 micron photometry for the 17 A, K and M type members of the Eta Chameleontis association. These data show infrared excesses toward six of the 15 K and M stars, indicating the presence of circumstellar disks around 40% ... More
Comment on "Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation"Jul 20 1998Aug 25 1998In this paper we comment on the "Local Fermi Liquid Theory", proposed by Engelbrecht and Bedell [1]. We emphasize several important properties of the limit of infinite dimensions, in particular the k-dependence of the irreducible vertex function, the ... More
Bound monopoles in Brans-Dicke theoryJun 28 2002Jul 08 2002We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multimonopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n=1 solutions, we find that the axially symmetric solutions exist for higher values of the ... More
Variational calculus on Wiener space with relation to conditional expectationsJul 19 2016We give a variational formulation for $-\log\mathbb{E}_\nu\left[e^{-f}|\mathcal{F}_t\right]$ for a large class of measures $\nu$. We give a refined entropic characterization of the invertibility of some perturbations of the identity. We also discuss the ... More
A general framework for variational calculus on Wiener spaceJul 19 2016We provide a framework to derive a variational formulation for $-\log\mathbb{E}_\nu\left[e^{-f}\right]$ for a large class of measures $\nu$. We use a family of perturbations of the identity $(W^u)$ whose invertibility we characterize thanks to entropy. ... More
Weak Coherent States and their Path IntegralsAug 27 2003Weak coherent states share many properties of the usual coherent states, but do not admit a resolution of unity expressed in terms of a local integral. They arise e.g. in the case that a group acts on an inadmissible fiducial vector. Motivated by the ... More
Comments on Inferences of Star Formation Histories and BirthlinesNov 01 2002Palla & Stahler have recently argued that star formation in Taurus and other nearby molecular clouds extends over a period of at least 10 Myr, implying quasi-static cloud evolution and star formation. Their conclusions contradict other recent results ... More
Testing the Paradigm of Low-Mass Star FormationSep 17 2003Protostellar core formation is probably much more dynamic, and magnetic fields are probably much less important, than has been previously assumed in the standard model of low-mass star formation. This revised picture has important consequences: it is ... More
A twisted Version of controlled K-TheoryNov 10 2017Jan 25 2019This paper studies controlled operator K-theory on coarse spaces in light of new studies in arXiv:1710.06725 [math.AG].
Cusps of the Kähler moduli space and stability conditions on K3 surfacesDec 14 2010In [Ma1] S. Ma established a bijection between Fourier--Mukai partners of a K3 surface and cusps of the K\"ahler moduli space. The K\"ahler moduli space can be described as a quotient of Bridgeland's stability manifold. We study the relation between stability ... More
Disc wind models for FU Ori objectsNov 29 2018We present disc wind models aimed at reproducing the main features of the strong Na I resonance line P-Cygni profiles in the rapidly-accreting pre-main sequence FU Ori objects. We conducted Monte Carlo radiative transfer simulations for a standard magnetocentrifugally ... More
Kinematics of the Optically Visible YSOs Toward the Orion B Molecular CloudJul 04 2017We present results from high resolution optical spectra toward 66 young stars in the Orion B molecular cloud to study their kinematics and other properties. Observations of the H$\alpha$ and Li I 6707 {\AA} lines are used to check membership and accretion ... More
Large Fields in Differential Galois TheoryOct 09 2017Jan 17 2018We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over ${\mathbb Q}$. More generally, we show that over such a field, every split differential embedding problem can ... More
Trilayer dusty plasma lattice: structure and dynamicsJun 07 2019In this paper, we studied the structure and dynamics for a trilayer Yukawa crystal. We firstly studied the optimal lattice structure by comparing lattice interaction energy from different lattice distribution, after that, we did the collective mode calculation ... More
Networks of nonlinear superconducting transmission line resonatorsFeb 15 2012Jul 11 2012We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum shows anticrossings ... More
Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glassMay 18 2004We investigate the performance of flat-histogram methods based on a multicanonical ensemble and the Wang-Landau algorithm for the three-dimensional +/- J spin glass by measuring round-trip times in the energy range between the zero-temperature ground ... More
Generalized Quantum Theory, Contextual Emergence and Non-Hierarchic AlternativesMar 23 2015Feb 19 2016The concept of emergence is critically analyzed in particular with respect to the assumed emergence of mental properties from a neuronal basis. We argue that so-called contextual emergence is needed to avoid an eliminatory reductionism. Quantum-like features ... More
Variational calculus for diffusionsJul 19 2016We expand the classic variational formulation formula of $-\log\mathbb{E}\left[e^{-f}\right]$ to the case where f depends on a diffusion, and not only on a Brownian motion, while decreasing the integrability hypothesis on f. We also give an entropic characterisation ... More
Reconstruction of Neutrino-Induced Hadronic and Electromagnetic Showers with the ANTARES ExperimentJun 28 2006The ANTARES neutrino telescope is being constructed at a site off the French Mediterranean coast at a depth of 2400m. When high energy neutrinos interact in water, the charged secondary particles produce Cherenkov light which can be measured in photomultiplier ... More
Non-abelian black holes and black strings in higher dimensionsNov 25 2008We review the properties of static, higher dimensional black hole solutions in theories where non-abelian gauge fields are minimally coupled to gravity. It is shown that black holes with hyperspherically symmetric horizon topology do not exist in $d > ... More
Star Formation: Lessons from TaurusJan 07 2000The Taurus molecular cloud complex is the paradigm for quiescent, low-density, isolated star formation. Yet the age distribution of its stellar population indicates that star formation is a rapid and dynamic process, inconsistent with the old picture ... More
The boundary term from the Analytic Torsion of a cone over a $m$-dimensional sphereJan 19 2013Aug 20 2014We present a direct proof that the Anomaly Boundary term of J. Br\"unning and X. Ma generalizes to the cases of the cone over a $m$-dimensional sphere.
A Geometry-Based Approach for Solving the Transportation Problem with Euclidean CostJun 22 2017In the semi-discrete version of Monge's problem one tries to find a transport map $T$ with minimum cost from an absolutely continuous measure $\mu$ on $\mathbb{R}^d$ to a discrete measure $\nu$ that is supported on a finite set in $\mathbb{R}^d$. The ... More
Generalized Dicke StatesJan 09 2012Sep 06 2016Quantum master equations are an important tool in quantum optics and quantum information theory. For systems comprising a small to medium number of atoms (or qubits), the non-truncated equations are usually solved numerically. In this paper, we present ... More
Extending Owen's integral table and a new multivariate Bernoulli distributionApr 16 2017Jun 21 2017We extend some equatilites in the Owen's table of normal integrals (A table of normal integrals in Communication in Statistics-Simulation and Computation, 1980). Furthermore a new probabilistic model for a vector of binary random variables is proposed. ... More
On estimating angular momenta of infalling protostellar cores from observationsAug 14 2018We use numerical simulations of molecular cloud formation in the colliding flow scenario to investigate the reliability of observational estimates of the angular momenta of early-state, low-mass protostellar cores. We show that, with suitable corrections ... More
A criteria of strong H-differentiabilityJul 19 2016We give a criteria for a Malliavin differentiable function to be strongly H-differentiable.
Complementarity of Process and SubstanceFeb 21 2006Process Philosophy endeavours to replace the classical ontology of substances by a process ontology centered on notions of changes and transitions. We argue, that the substantial and processual approach are mutually complementary. Here, complementarity ... More
The quotient map on the equivariant Grothendieck ring of varietiesAug 01 2014Mar 31 2016For a scheme S with a good action of a finite abelian group G having enough roots of unity we show that the quotient map on the G-equivariant Grothendieck ring of varieties over S is well defined with image in the Grothendieck ring of varieties over S/G ... More
Extremely weak interpolation in $H^{\infty}$Oct 18 2010Given a sequence of points in the unit disk, a well known result due to Carleson states that if given any point of the sequence it is possible to interpolate the value one in that point and zero in all the other points of the sequence, with uniform control ... More
Operationalization of Basic Observables in MechanicsApr 10 2015Dec 03 2015This novel approach to the foundation of the physical theory begins with Hermann von Helmholtz fundamental analysis of basic measurements. We explain the mathematical formalism from the operationalization of basic observables. According to Leibniz resp. ... More
A numerical analysis of Quicksort: How many cases are bad cases?Jul 15 2015We present numerical results for the probability of bad cases for Quicksort, i.e. cases of input data for which the sorting cost considerably exceeds that of the average. Dynamic programming was used to compute solutions of the recurrence for the frequency ... More
The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixingSep 23 2011Jan 11 2012The compatibility of the Frobenius group T13 with the canonical see-saw mechanism of neutrino mixing is examined. The Standard Model is extended in a minimalist way, by introducing a family symmetry and three right-handed neutrinos. To fit experiments ... More
A more comprehensive formulation of evolutionary equationsSep 28 2004As mathematical model for the evolutionary equations of species the masterequation is choiced. Two formulations will be demonstrated to include the changes of parameters into the masterequation - that is, on the one hand, the formation of a second masterequation ... More
Period- and mirror-maps for the quartic K3Jan 24 2011We study in detail mirror symmetry for the quartic K3 surface in P3 and the mirror family obtained by the orbifold construction. As explained by Aspinwall and Morrison, mirror symmetry for K3 surfaces can be entirely described in terms of Hodge structures. ... More
Baryon Spectroscopy - Recent Results from the CBELSA/TAPS ExperimentJan 06 2016One of the remaining challenges within the standard model is to gain a good understanding of QCD in the non-perturbative regime. One key step toward this aim is baryon spectroscopy, investigating the spectrum and the properties of baryon resonances. To ... More
On Rational Points of Varieties over Local Fields having a Model with Tame Quotient SingularitiesDec 20 2012Oct 23 2013We study rational points on a smooth variety X over a complete local field K with algebraically closed residue field, and models of X with tame quotient singularities. If a model of X is the quotient of a Galois action on a weak N\'eron model of the base ... More