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Assuring the Evolvability of Microservices: Insights into Industry Practices and ChallengesJun 12 2019While Microservices promise several beneficial characteristics for sustainable long-term software evolution, little empirical research covers what concrete activities industry applies for the evolvability assurance of Microservices and how technical debt ... More

Microservices Migration in Industry: Intentions, Strategies, and ChallengesJun 11 2019To remain competitive in a fast changing environment, many companies started to migrate their legacy applications towards a Microservices architecture. Such extensive migration processes require careful planning and consideration of implications and challenges ... More

Flavor Mixing, Quark Masses, Neutrino Masses and Neutrino OscillationsJun 05 2009We discuss first the flavor mixing of the quarks, using the texture zero mass matrices. Then we study a similar model for the mass matrices of the leptons. We are able to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mixing ... More

Flavor Mixing, Neutrino Masses and Neutrino OscillationsFeb 17 2009We study a model for the mass matrices of the leptons. We are ablte to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mxiing angles and can predict the masses of the neutrinos. We find a normal hierarchy -the masses are ... More

The Pattern of Quark Masses and Maximal CP-ViolationJan 17 1995A simple breaking of the subnuclear democracy of the quarks leads to a mixing between the secons and the third family, in agreement with observation. Introducing the mixing between the first and the second family, one finds an interesting pattern of maximal ... More

A Time Variation of the QCD Coupling ConstantApr 30 2003May 20 2003Astrophysical indications that the fine structure constant has undergone a small time variation during the cosmological evolution are discussed within the framework of the standard model of the electroweak and strong interactions and of grand unification. ... More

The Large Mixing of the Pseudoscalars in QCD and Large Flavor Mixing of NeutrinosOct 19 1998In analogy to the mixing pattern of the pseudoscalar mesons in QCD we discuss the mixing of massive neutrinos. Unlike the quarks flavor mixing angles the leptonic mixing angles are large, nearly maximal. The three massive neutrinos are nearly degenerate. ... More

The Symmetry and the Problem of Mass GenerationMar 05 1997The mass problem in particle physics and its impact for other fields is discussed. While the problem of the nuclear masses has been resolved within the QCD framework, many parameters of the ``Standard Model'' are related to the fermion sector. The origin ... More

{\bf Consitutent Quarks, Chiral Symmetry and the Nucleon Spin$^{1, 2}$}Mar 02 1994It is argued that the constituent quarks are expected to show a non-- trivial spin and flavor structure, due to the anomalous breaking of the chiral symmetry in the U(1) sector. CERN--TH.7079/93\\

Excited weak bosons and their decaysOct 25 2016The weak bosons are bound states of fermions. Here the excitations of the weak bosons are discussed. Especially we study the decays of these excited states into weak bosons and photons.

CP Violation and the Light Quark SectorSep 09 1999In view of the observed strong hierarchy of quark masses, we discuss a new description of flavor mixing which is particularly suited for models of quark mass matrices based on flavor symmetries. The necessary and sufficient conditions for CP violation ... More

Flavour Mixing and Fermion Mass Generation as a Result of Symmetry BreakingMay 30 1994It is shown that a simple breaking of the subnuclear democracy leads to a successful description of the mixing between the second and third family. In the lepton channel the $\nu _{\mu } - \nu_{\tau }$ oscillations are expected to be described by a mixing ... More

Fundamental Constants at High EnergyJan 22 2002The progress of Particle Physics is closely linked to the progress in the understanding of the fundamental constants, like the finestructure constant, the mass of the electron or nucleon, or the electroweak mixing angle. The relation between the 18 fundamental ... More

A Time Dependence of QCDNov 30 2004From astrophysics there are indications that the finestructure constant $\alpha $ has changed during the past 10 billion years. Within grand unification one can deduce that also the QCD scale has changed. Tests for a time variation of this scale are described. ... More

A detailed proof of Bourgain's Return Times TheoremJan 14 2019In this diploma thesis (written in German) we present a detailed proof of Bourgain's Return Times Theorem due to Bourgain, Furstenberg, Katznelson and Ornstein following their paper as well as the book by Assani. Moreover, we generalize the result to ... More

The Fundamental Constants in PhysicsFeb 17 2009We discuss the fundamental constants of physics in the Standard Model and possible changes of these constants on the cosmological time scale. The Grand Unification of the strong, electromagnetic and weak interactions implies relations between the time ... More

Flavor Symmetries, Neutrino Masses and Neutrino MixingFeb 07 2008We discuss the neutrino mixing, using the texture 0 mass matrices, which work very well for the quarks. The solar mixing angle is directly linked to the mass ratio of the first two neutrinos. The neutrino masses are hierarchical, but the mass ratios turn ... More

The Quark Mass Problem and CP-ViolationMay 24 1996A simple breaking of the subnuclear democracy among the quarks leads to a mixing between the second and the third family, in agreement with observation. Introducing the mixing between the first and the second family, one finds an interesting pattern of ... More

Quark Mass Hierarchy and Flavor MixingFeb 27 1998In view of the observed strong hierarchy of the quark and lepton masses and of the flavor mixing angles it is argued that the description of flavor mixing must take this into account. One particular interesting way to describe the flavor mixing, which, ... More

The Kinematics and Dynamics of Flavor MixingOct 20 1997In view of the observed strong hierarchy of the quark and lepton masses and of the flavor mixing angles, it is argued that the description of flavor mixing must take this into account. One particularly interesting way to describe the flavor mixing, which, ... More

The Production of Single t-Quarks at LEP and HERAJan 26 1999Apr 30 1999We study the possibility to produce single t-quarks both at LEP II and HERA. While within the Standard Model such reactions are not observable, the possibility exists in a wide class of dynamical models for the fermion mass generation. General arguments, ... More

Spontaneous Symmetry Breaking through MixingNov 03 2006We discuss a model, in which the negative mass square needed in the Higgs mechanism is generated by mixing with a heavy scalar. We have two scalar doublets in the standard model. Phenomenological properties of the heavy new scalar are discussed. The heavy ... More

Constituent Quarks and the Spin of the ProtonJun 05 2009The constituent quarks are interpreted as bound states, which have an internal structure. The quark distributions of the proton are related to those of the constituent quarks. The experiments support this hypothesis. Likewise the spin structure of the ... More

Grand Unification and Time Variation of the Gauge CouplingsNov 26 2002Astrophysical indications that the fine structure constant is time dependent are discussed in the framework of grand unification models. A variation of the electromagnetic coupling constant could either be generated by a corresponding time variation of ... More

The Breaking of Subnuclear Democracy as the Origin of Flavour MixingJun 07 1994It is shown that the simplest breaking of the subnuclear democracy leads to a successful description of the mixing between the second and third family. In the lepton channel the $\nu _{\mu } - \nu_{\tau }$ oscillations are expected to be described by ... More

Calculation of the Higgs Boson Mass Using the Complementarity PrincipleJul 09 2001We compute the Higgs mass in a model for the electroweak interactions based on a confining theory. This model is related to the standard model by the complementarity principle. A dynamical effect due to the large typical scale of the Higgs boson shifts ... More

The Cosmological Evolution of the Nucleon Mass and the Electroweak Coupling ConstantsDec 07 2001Feb 20 2002Starting from astrophysical indications that the fine structure constant might undergo a small cosmological time shift, we discuss the implications of such an effect from the point of view of particle physics. Grand unification implies small time shifts ... More

Symmetry Breaking and Time Variation of Gauge CouplingsApr 22 2002Jun 12 2002Astrophysical indications that the fine structure constant has undergone a small time variation during the cosmological evolution are discussed within the framework of the standard model of the electroweak and strong interactions and of grand unification. ... More

Electroweak D-WavesMar 30 2001We consider phenomenological implications of a model recently proposed for the electroweak interactions based on a SU(2)_L confining theory. We concentrate on the production of excited states of the electroweak bosons at future colliders and we consider ... More

From Monolith to Microservices: A Classification of Refactoring ApproachesJul 26 2018Jan 24 2019While the recently emerged Microservices architectural style is widely discussed in literature, it is difficult to find clear guidance on the process of refactoring legacy applications. The importance of the topic is underpinned by high costs and effort ... More

The Higgs Boson Might Not Couple To B QuarksAug 24 2000Nov 13 2000We discuss an alternative version of the electroweak standard model, in which only the heavy t quark, not the light fermions, couples to the Higgs boson with a strength given by the standard model. The Higgs particle decays dominantly into two gluons ... More

The Electroweak Interactions as a Confinement PhenomenonAug 23 2000Nov 13 2000We consider a model for the electroweak interactions based on the assumption that physical particles are singlets under the gauge group SU(2). The concept of complementarity explains why the standard model works with such an extraordinary precision although ... More

A Time Variation of Proton-Electron Mass Ratio and Grand UnificationMay 09 2006Astrophysical observations indicate a time variation of the proton-electron mass ratio and of the fine-structure constant. We discuss this phenomenon in models of Grand Unification. In these models a time variation of the fine-structure constant and of ... More

Mass and Flavor Mixing Schemes of Quarks and LeptonsDec 15 1999Feb 24 2000We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. The hints exhibited by the quark and lepton mass spectra towards possible underlying flavor symmetries, from which realistic models of mass generation could ... More

Maximal Neutrino Mixing and Maximal CP ViolationSep 09 1999We propose a phenomenological model of lepton mixing and CP violation based on the flavor democracy of charge leptons and the mass degeneracy of neutrinos. A nearly bi-maximal flavor mixing pattern, which is favored by current data on atmospheric and ... More

Flavor Symmetries and the Description of Flavor MixingJul 02 1997It is shown that the hierarchical structure of the quark mass terms in the standard model suggests a new description of the flavor mixing. The latter is primarily a heavy quark mixing involving the t and b quarks, followed by a mixing exclusively in the ... More

Light Cone Current AlgebraJan 17 2003This talk follows by a few months a talk by the same authors on nearly the same subject at the Coral Gables Conference. The ideas presented here are basically the same, but with some amplification, some change of viewpoint, and a number of new questions ... More

Nearly Degenerate Neutrino Masses and Nearly Decoupled Neutrino OscillationsMar 26 1999We introduce a simple flavor symmetry breaking scheme, in which charged lepton masses have a strong hierarchy and neutrino masses are almost degenerate. It is possible to obtain a natural suppression of lepton flavor mixing between the 1st and 3rd families ... More

Lepton Mass Hierarchy and Neutrino MixingJan 13 2006We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$ lepton flavor mixing ... More

Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental TestsDec 13 2002We show that the four-zero texture of Hermitian quark mass matrices can survive current experimental tests: it is able to yield sufficiently large predictions for the flavor mixing parameter $|V_{ub}/V_{cb}|$ and the CP-violating parameter $\sin 2\beta$, ... More

Grand Unification in the SO(10) ModelApr 29 2006Extrapolating the coupling strengths to very high energies, one finds that they do not converge to a single coupling constant, as expected in the simplest gauge theory of Grand Unification, the SU(5) theory. We find that the coupling constants do converge, ... More

Neutrinos: How Do They Mix and Violate CP ?May 16 2000We discuss a simple model of lepton mixing and CP violation based on the flavor democracy of charge leptons and the mass degeneracy of neutrinos. A nearly bi-maximal flavor mixing pattern, which is favored by current data on atmospheric and solar neutrino ... More

A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity TriangleFeb 14 1995Within a specific texture of the quark mass matrix the notion of a maximal violation of the $CP$ symmetry can be defined. The experimental constraints from weak decays imply that in reality one is close to the case of maximal $CP$ violation, which vanishes ... More

The Light Quark Sector, CP Violation, and the Unitarity TriangleApr 09 1999Jun 04 1999In view of the observed strong hierarchy of quark masses, we propose a new description of flavor mixing which is particularly suited for models of quark mass matrices based on flavor symmetries. The necessary and sufficient conditions for CP violation ... More

Non-perturbative renormalization of tensor bilinears in Schrödinger Functional schemesNov 16 2015Nov 24 2015We present preliminary result for the study of the renormalization group evolution of tensor bilinears in Schr\"odinger Functional (SF) schemes for $N_f=0$ and $N_f=2$ QCD with non-perturbatively $\mathcal{O}(a)$-improved Wilson fermions. First $N_f=2+1$ ... More

The anomalous magnetic moment of the muon and radiative lepton decaysMar 01 2001Jun 25 2001The leptons are viewed as composite objects, exhibiting anomalous magnetic moments and anomalous flavor-changing transition moments. The decay $\mu \to e \gamma$ is expected to occur with a branching ratio of the same order as the present experimental ... More

Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCDApr 22 2010Oct 05 2010We non-perturbatively determine the renormalization constant and the improvement coefficients relating the renormalized current and subtracted quark mass in O(a) improved two-flavour lattice QCD. We employ the Schr\"odinger functional scheme and fix the ... More

Non-perturbative tests of continuum HQET through small-volume two-flavour QCDAug 27 2015We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero, whereas the range ... More

On Measuring $CP$ Violation in Neutral $B$-meson Decays at the $Υ (4S)$ ResonanceJun 11 1994Sep 18 1994Within the standard model we carry out an analysis of $CP$-violating observables in neutral $B$-meson decays at the $\Upsilon (4S)$ resonance. Both time-dependent and time-integrated $CP$ asymmetries are calculated, without special approximations, to ... More

$\mathcal{O}(a)$ improved quark mass renormalization for a non-perturbative matching of HQET to three-flavor QCDNov 06 2018The use of Heavy Quark Effective Theory (HQET) on the lattice as an approach to B-physics phenomenology is based on a non-perturbative matching of HQET to QCD in finite volume. As a first step to apply the underlying strategy in the three-flavor ($N_f ... More

Critical slowing down and the gradient flow coupling in the Schrödinger functionalNov 28 2013We study the sensitivity of the gradient flow coupling to sectors of different topological charge and its implications in practical situations. Furthermore, we investigate an alternative definition of the running coupling that is expected to be less sensitive ... More

Convergence of nodal sets in the adiabatic limitMay 08 2014Nov 09 2014We study the nodal sets of non-degenerate eigenfunctions of the Laplacian on fibre bundles $\pi{:}\, M\to B$ in the adiabatic limit. This limit consists in considering a family $G_\varepsilon$ of Riemannian metrics, that are close to Riemannian submersions, ... More

An Exact Formula to Describe the Amplification Process in a Photomultiplier TubeJun 08 2004An analytical function is derived that exactly describes the amplification process due to a series of discrete, Poisson-like amplifications like those in a photo multiplier tube (PMT). A numerical recipe is provided that implements this function as a ... More

B Physics at CDFJun 07 2004Due to the large b-bbar cross section at 1.96 TeV p-pbar collisions, the Tevatron is currently the most copious source of B hadrons. Recent detector upgrades for Run II have made these more accessible, allowing for a wide range of B and CP violation physics ... More

The Complexity of Simple Stochastic GamesApr 20 2007In this paper we survey the computational time complexity of assorted simple stochastic game problems, and we give an overview of the best known algorithms associated with each problem.

Graded Betti numbers and $h$-vectors of level modulesDec 04 2006Dec 04 2006We study $h$-vectors and graded Betti numbers of level modules up to multiplication by a rational number. Assuming a conjecture on the possible graded Betti numbers of Cohen-Macaulay modules we get a description of the possible $h$-vectors of level modules ... More

Gaussian fluctuations of eigenvalues in the GUEJan 08 2004Apr 04 2007Under certain conditions on k we calculate the limit distribution of the k:th largest eigenvalue, x_k, of the Gaussian Unitary Ensemble (GUE). More specifically, if n is the dimension of a random matrix from the GUE and k is such that both k and n-k tends ... More

Anomalous decoherence and absence of thermalization in a photonic many-body systemMar 04 2011The intention of this work is twofold, first to present a most simple system capable of simulating the intrinsic bosonic Josephson effect with photons, and second to study various outcomes deriving from inherent or external decoherence. A qubit induces ... More

Travelling to exotic places with cavity QED systemsAug 12 2009Recent theoretical schemes for utilizing cavity QED models as quantum simulators are reviewed. By considering a quadrature representation for the fields, it is shown how Jahn-Teller models, effective Abelian or non-Abelian gauge potentials, transverse ... More

Analog of the spin-orbit induced anomalous Hall effect with quantized radiationMay 18 2009May 27 2010We demonstrate how the term describing interaction between a single two-level atom and two cavity field modes may attain a Rashba form. As an outcome, cavity QED provides a testbed for studies of phenomena reminiscent of the spin-orbit induced anomalous ... More

On the rotating wave approximation in the adiabatic limitAug 09 2012I revisit a longstanding question in quantum optics; When is the rotating wave approximation justified? In terms of the Jaynes-Cummings and Rabi models I demonstrate that the approximation in general breaks down in the adiabatic limit regardless of system ... More

The Ground Axiom (GA)Sep 10 2006Feb 21 2007A new axiom is proposed, the Ground Axiom, asserting that the universe is not a nontrivial set forcing extension of any inner model. The Ground Axiom is first-order expressible, and any model of ZFC has a class forcing extension which satisfies it. The ... More

Properties of cellular classes of chain complexesFeb 01 2008Mar 19 2008In this paper we prove certain properties of cellular and acyclic classes of chain complexes of modules over a commutative Noetherian ring. In particular we show that if X is finite and belongs to some cellular class C then \Sigma^n H_X also belongs to ... More

Pluricomplex charge at weak singularitiesOct 31 2005Let $u$ be a plurisubharmonic function, defined on a neighbourhood of a point $x,$ such that the complex Monge-Amp\`ere operator is well-defined on $u.$ Suppose also that $u$ has a weak singularity, in the sense that the Lelong number of $u$ at $x$ vanish. ... More

Cross ratios on boundaries of symmetric spaces and Euclidean buildingsJan 31 2017Jul 11 2018We generalize the natural cross ratio on the ideal boundary of a rank one symmetric spaces, or even $\mathrm{CAT}(-1)$ space, to higher rank symmetric spaces and (non-locally compact) Euclidean buildings - we obtain vector valued cross ratios defined ... More

Characterization of 2-ramified power seriesJan 14 2016Apr 20 2017In this paper we study lower ramification numbers of power series tangent to the identity that are defined over fields of positive characteristics $p$. Let $g$ be such a series, then $g$ has a fixed point at the origin and the corresponding lower ramification ... More

A note on the structure of underlying Lie algebrasJan 29 2019Every Lie algebra over a field $E$ gives rise to new Lie algebras over any subfield $F \subseteq E$ by restricting the scalar multiplication. This paper studies the structure of these underlying Lie algebra in relation to the structure of the original ... More

NIL-affine crystallographic actions of virtually polycyclic groupsOct 26 2018A classical result by K.B. Lee states that every group morphism between almost crystallographic groups is induced by an affine map on the nilpotent Lie group whereon these groups by definition act. It is the main technique for studying morphisms between ... More

Idiomatic and Reproducible Software Builds using Containers for Reliable ComputingFeb 09 2017Containers as the unit of application delivery are the 'next big thing' in the software development world. They enable developers to create an executable image containing an application bundled with all its dependencies which a user can run inside a controlled ... More

How many T-tessellations on $k$ lines? Existence of associated Gibbs measures on bounded convex domainsDec 10 2010Apr 23 2014The paper bounds the number of tessellations with T-shaped vertices on a fixed set of $k$ lines: tessellations are efficiently encoded, and algorithms retrieve them, proving injectivity. This yields existence of a completely random T-tessellation, as ... More

Improper poisson line process as sirsn in any dimensionMar 13 2015Sep 29 2016Aldous has introduced a notion of scale-invariant random spatial network (SIRSN) as a mathematical formalization of road networks. Intuitively, those are random processes that assign a route between each pair of points in Euclidean space, while being ... More

Model selection for quantum homodyne tomographyDec 18 2007This paper deals with a non-parametric problem coming from physics, namely quantum tomography. That consists in determining the quantum state of a mode of light through a homodyne measurement. We apply several model selection procedures: penalized projection ... More

Harmonic Measure and the Analyst's Traveling Salesman TheoremMay 22 2019We study how generalized Jones $\beta$-numbers relate to harmonic measure. Firstly, we generalize a result of Garnett, Mourgoglou and Tolsa by showing that domains in $\mathbb{R}^{d+1}$ whose boundaries are lower $d$-content regular admit Corona decompositions ... More

On the values of unipotent characters of finite Chevalley groups of type $E_6$ in characteristic 3Jan 18 2019Let $G$ be a finite Chevalley group. We are concerned with computing the values of the unipotent characters of $G$ by making use of Lusztig's theory of character sheaves. In this framework, one has to find the transformation between several bases for ... More

Partial Hölder continuity for Q-valued energy minimizing mapsFeb 11 2014We consider multivalued maps between $\Omega \subset \mathbb{R}^N$ open ($N \ge 2$) and a smooth, compact Riemannian manifold $\mathcal{N}$ locally minimizing the Dirichlet energy. An interior partial H\"older regularity result in the spirit of R. Schoen ... More

On the integral kernels of derivatives of the Ornstein-Uhlenbeck semigroupSep 18 2015This paper presents a closed-form expression for the integral kernels associated with the derivatives of the Ornstein-Uhlenbeck semigroup $e^{tL}$. Our approach is to expand the Mehler kernel into Hermite polynomials and applying the powers $L^N$ of the ... More

Non-leptonic D0, D+, and Ds Branching FractionsFeb 15 2010Non-leptonic charm decays provide insights into both electro-weak and strong dynamics. This includes the study of long-distance hadronic effects, the approximate symmetries of strong interactions, and precision tests of the Standard Model. In these proceedings ... More

Electromagnetics from a quasistatic perspectiveJun 13 2006Quasistatics is introduced so that it fits smoothly into the standard textbook presentation of electrodynamics. The usual path from statics to general electrodynamics is rather short and surprisingly simple. A closer look reveals however that it is not ... More

Accessible parts of the boundary for domains with lower content regular complementsJul 12 2018We show that if $0<t<s\leq n-1$, $\Omega\subseteq \mathbb{R}^{n}$ with lower $s$-content regular complement, and $z\in \Omega$, there is a chord-arc domain $\Omega_{z}\subseteq \Omega $ with center $z$ so that $\mathscr{H}^{t}_{\infty}(\partial\Omega_{z}\cap ... More

Most Frequent Itemset OptimizationApr 16 2019In this paper we are dealing with the frequent itemset mining. We concentrate on the special case that we only want to identify the most frequent itemset of length N. To do that, we present a pattern on how to consider this search as an optimization problem. ... More

On the use of shot noise for photon countingJan 14 2015Feb 24 2015Lieu et al. (2015) have recently claimed that it is possible to substantially improve the sensitivity of radio astronomical observations. In essence, their proposal is to make use of the intensity of the photon shot noise as a measure of the photon arrival ... More

Resolving multi-proxy transitive vote delegationDec 11 2014Solving a delegation graph for transitive votes is already a non-trivial task for many programmers. When extending the current main paradigm, where each voter can only appoint a single transitive delegation, to a system where each vote can be separated ... More

Cylindrical lattice paths and the Loehr-Warrington 10^n conjectureSep 22 2005Sep 30 2005The following special case of a conjecture by Loehr and Warrington was proved recently by Ekhad, Vatter, and Zeilberger: There are 10^n zero-sum words of length 5n in the alphabet {+3,-2} such that no zero-sum consecutive subword that starts with +3 may ... More

Classification of certain cellular classes of chain complexesJan 25 2008Let (R, m) be a local commutative ring. Suppose that m is principal and that m^2 = 0. We give a complete description of the cellular lattice of perfect chain complexes of modules over this ring.

The Ground AxiomSep 02 2006A new axiom is proposed, the Ground Axiom, asserting that the universe is not a nontrivial set-forcing extension of any inner model. The Ground Axiom is first-order expressible, and any model of ZFC has a class-forcing extension which satisfies it. The ... More

On the sign-imbalance of skew partition shapesJul 16 2005Sep 18 2006Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan ... More

Cohomology of moduli spaces of curves of genus three via point countsNov 27 2006Jun 05 2007In this article we consider the moduli space of smooth $n$-pointed non-hyperelliptic curves of genus 3. In the pursuit of cohomological information about this space, we make $\mathbb{S}_n$-equivariant counts of its numbers of points defined over finite ... More

Toric Vector Bundles: GAGA and Hodge TheoryMay 29 2019We prove a GAGA-style result for toric vector bundles with smooth base and give an algebraic construction of the Fr\"olicher approximating vector bundle that has recently been introduced by Dan Popovici using analytic techniques.

Most Frequent Itemset OptimizationApr 16 2019Apr 17 2019In this paper we are dealing with the frequent itemset mining. We concentrate on the special case that we only want to identify the most frequent itemset of length N. To do that, we present a pattern on how to consider this search as an optimization problem. ... More

Characteristic (Fedosov-)class of a twist constructed by Drinfel'dMar 15 2019In a seminal paper Drinfel'd explained how to associate to every classical r-matrix for a Lie algebra $\lie g$ a twisting element based on $\mathcal{U}(\lie g)[[\hbar]]$, or equivalently a left invariant star product of the corresponding symplectic structure ... More

Efficient ray tracing on 3D regular grids for fast generation of digitally reconstructed radiographs in iterative tomographic reconstruction techniquesSep 04 2016Cone beam projection is an essential and particularly time consuming part of any iterative tomographic reconstruction algorithm. On current graphics hardware especially the amount and pattern of memory accesses is a limiting factor when read-only textures ... More

Computing partial transposes and related entanglement functionsSep 01 2016Nov 07 2016The partial transpose (PT) is an important function for entanglement testing and quantification and also for the study of geometrical aspects of the quantum state space. In this article, considering general bipartite and multipartite discrete systems, ... More

The Maccone-Pati uncertainty relationMay 25 2017Jun 07 2017The existence of incompatible observables constitutes one of the most prominent characteristics of quantum mechanics (QM) and can be revealed and formalized through uncertainty relations. The Heisenberg-Robertson-Schr\"odinger uncertainty relation (HRSUR) ... More

From geometry to geology: An invitation to mathematical pluralism through the phenomenon of independenceSep 01 2016This paper explores how a pluralist view can arise in a natural way out of the day-to-day practice of modern set theory. By contrast, the widely accepted orthodox view is that there is an ultimate universe of sets $V$, and it is in this universe that ... More

Fortran code for generating random probability vectors, unitaries, and quantum statesDec 16 2015Mar 14 2016The usefulness of generating random configurations is recognized in many areas of knowledge. Fortran was born for scientific computing and has been one of the main programming languages in this area since then. And several ongoing projects targeting towards ... More

On the well-posedness of Bayesian inverse problemsFeb 26 2019The subject of this article is the introduction of a weaker concept of well-posedness of Bayesian inverse problems. The conventional concept of (`Lipschitz') well-posedness in [Stuart 2010, Acta Numerica 19, pp. 451-559] is difficult to verify in practice, ... More

Equivariant birational geometry of quintic del Pezzo surfaceAug 16 2018In this paper we prove that there are exactly two $G$-minimal surfaces which are $G$-birational to the quintic del Pezzo surface, where $G \cong C_5 \rtimes C_4$. These surfaces are the quintic del Pezzo surface itself and the surface $\mathbb{P}^1 \times ... More

On the Structure of Double ComplexesDec 03 2018We provide a proof of the folklore statement that every double complex over a field decomposes into so-called squares and zigzags and show how it makes questions about the associated cohomology groups and spectral sequences easy to understand. This may ... More

Bi-Lipschitz parts of quasisymmetric mappingsAug 02 2013Feb 27 2015A natural quantity that measures how well a map $f:\mathbb{R}^{d}\rightarrow \mathbb{R}^{D}$ is approximated by an affine transformation is \[\omega_{f}(x,r)=\inf_{A}\left(\frac{1}{|B(x,r)|}\int_{B(x,r)}\left(\frac{|f-A|}{|A'|r}\right)^{2}\right)^{\frac{1}{2}},\] ... More

Making multigraphs simple by a sequence of double edge swapsApr 15 2019A double edge swap is an operation on (undirected) loopy multigraphs (multiple edges and multiple loops are allowed) that replaces two edges $(v_1,v_2)$ and $(v_3,v_4)$ by $(v_2,v_3)$ and $(v_4,v_1)$. The swap is admissible if $(v_1,v_2)$ and $(v_3,v_4)$ ... More