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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\\

Isospin Mass Differences of Heavy BaryonsNov 04 2008We discuss the mass differences for isospin multiplets of the charmed and b-flavored baryons. The mass of the neutral b-flavored sigma baryon, which is not measured, is calculated. We point out, that the measurements of the mass differences between the ... More

The Spin Structure of the Constituent Quarks and of the NucleonMar 31 2005We define a constituent quark within QCD. It is shown that the spin of such a quark and hence also the spin of the nucleon reduced due to $\bar{q}q$-pairs, in agreement with experiment. A solution to the spin problem is given.

The Physics of Flavor - Challenge for the FutureJul 06 2004This is the summary talk for the theoretical part of ICFP03. The contents of the talk are reviewed and a general outlook is given.

Excited Weak Bosons and Dark MatterJul 10 2016The weak bosons are bound states of new constituents, the haplons. The p-wave excitations are studied. The state with the lowest mass is identified with the boson, which has been discovered at the LHC. Specific properties of the excited bosons are discussed, ... More

Does the QCD Scale vary in time?Jul 06 2004Last year I talked at this meeting about a possible time dependence of the QCD coupling constant $\alpha_s$. This year I shall look into the problem once more, without fully repeating the arguments given last year. Astrophysical indications that the fine ... More

Composite Weak Bosons at the LHCJul 23 2015Jul 26 2015In a composite model of the weak bosons the p-wave bosons are studied. The state with the lowest mass is identified with the boson, which has been observed at the LHC. Specific properties of the excited bosons are studied, in particular their decays into ... More

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.

Quark Mass Hierarchies, Flavor Mixing and Maximal CP-ViolationJun 16 1998Flavor mixing and the quark mass spectrum are intimately related. In 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 ... More

Flavor Mixing and the Masses of Quarks and LeptonsJun 04 1997A simple breaking of the subnuclear democracy of the quarks leads to a mixing between the second and the third family, in agrement with observation. Introducing the mixing between the first and the second family, one finds an interesting pattern of maximal ... More

Symmetry Breaking and Time Variation of the QCD CouplingDec 13 2002Dec 19 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

Mass Hierarchies, Hidden Symmetry and Maximal CP-ViolationJul 30 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

Flavor Mixing, CP-Violation and the Masses ov the Light QuarksSep 10 1997Sep 15 1997The observed hierarchy of the quark masses is interpreted as a signal for an underlying ``subnuclear democracy'' as the relevant symmetry of the quark mass terms. A simple breaking of the symmetry leads to a mixing between the second and the third family, ... More

The Gluonic Decay of the $b$--Quark and tne $η'$--MesonAug 14 1997Sep 15 1997The observed inclusive decay of B-mesons into eta' + X is interpreted as the consequence of the gluonic decay of the b-quark into an s-quark. As a result of the QCD anomaly this decay proceeds partly as the decay b ---> s + eta', similar to b ---> s + ... More

Composite Weak Bosons at the LHCMar 26 2012Mar 30 2012In a composite model of the weak bosons the p-wave bosons are studied. The state with the lowest mass is identified with the boson, which might have been detected recently at the LHC. Specific properties of these excited bosons are studied, in particular ... More

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

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

Full Asymptotics and Laurent Series of Layer Potentials for Laplace's Equation on the Half-SpaceDec 28 2017We probe the application of the calculus of conormal distributions, in particular the Pull-Back and Push-Forward Theorems, to the method of layer potentials to solve the Dirichlet and Neumann problems on half-spaces. We obtain full asymptotic expansions ... More

An Adiabatic Decomposition of the Hodge Cohomology of Manifolds Fibred over GraphsDec 28 2017In this article we use the combinatorial and geometric structure of manifolds with embedded cylinders in order to develop an adiabatic decomposition of the Hodge cohomology of these manifolds. We will on the one hand describe the adiabatic behaviour of ... 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

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

Studying the gradient flow coupling in the Schrödinger functionalAug 21 2013We discuss the setup and features of a new definition of the running coupling in the Schr\"odinger functional scheme based on the gradient flow. Its suitability for a precise continuum limit in QCD is demonstrated on a set of Nf=2 gauge field ensembles ... More

The gradient flow coupling in the Schrödinger FunctionalJan 18 2013Sep 13 2013We study the perturbative behavior of the Yang-Mills gradient flow in the Schr\"odinger Functional, both in the continuum and on the lattice. The energy density of the flow field is used to define a running coupling at a scale given by the size of the ... 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

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

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

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

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

Democratic Neutrino Mixing ReexaminedJun 19 2004We reexamine the democratic neutrino mixing ansatz, in which the mass matrices of charged leptons and Majorana neutrinos arise respectively from the explicit breaking of S(3)_L x S(3)_R and S(3) flavor symmetries. It is shown that a democracy term in ... 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

Current Algebra: Quarks and What Else?Aug 01 2002After receiving many requests for reprints of this article, describing the original ideas on the quark gluon gauge theory, which we later named QCD, we decided to place the article in the e-Print archive.

Bounds on \sin 2βand |V_{ub}/V_{cb}| from the Light-Quark TriangleFeb 23 2001Mar 11 2001With the help of the light-quark triangle, which is essentially congruent to the rescaled unitarity triangle for a variety of textures of the quark mass matrices, we calculate the CP-violating quantity \sin 2\beta and the ratio of |V_{ub}| to |V_{cb}|. ... More

How to Describe Neutrino Mixing and CP ViolationMar 22 2001Jul 29 2001We present a classification of possible parametrizations of the 3x3 lepton flavor mixing matrix in terms of the rotation and phase angles. A particular parametrization, which is most convenient to describe the observables of neutrino oscillations and ... More

Lepton Mass Hierarchy and Neutrino OscillationsSep 26 1995Starting from the symmetry of lepton flavor democracy, we propose and discuss a simple pattern for the mass generation and flavor mixing of the charged leptons and neutrinos. The three neutrino masses are nearly degenerate, and the flavor mixing angles ... 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

The breaking of flavor democracy in the quark sectorMay 03 2017Jun 05 2017The democracy of quark flavors is a well-motivated flavor symmetry, but it must be properly broken in order to explain the observed quark mass spectrum and flavor mixing pattern. We reconstruct the texture of flavor democracy breaking and evaluate its ... More

Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental TestsAug 23 2011Sep 07 2011In view of the latest T2K and MINOS neutrino oscillation data which hint at a relatively large theta_13, we perform a systematic study of the Majorana neutrino mass matrix M_nu with two independent texture zeros. We show that three neutrino masses (m_1, ... 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

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

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.

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

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

Harmonic morphisms and eigenfamilies on the exceptional Lie group G2Aug 31 2013We construct harmonic morphisms on the compact simple Lie group G2. The construction uses eigenfamilies in a representation theoretic scheme.

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

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 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

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

Regular Jacobi Structures and Generalized Contact BundlesJun 27 2018A Jacobi structure $J$ on a line bundle $L\to M$ is weakly regular if the sharp map $J^\sharp : J^1 L \to DL$ has constant rank. A generalized contact bundle with regular Jacobi structure possess a transverse complex structure. Paralleling the work of ... More

Expected length of a product of random reflectionsNov 24 2010We present a simple formula for the expected number of inversions in a permutation of size $n$ obtained by applying $t$ random (not necessarily adjacent) transpositions to the identity permutation. More general, for any finite irreducible Coxeter group ... 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

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

Boundary regularity of Dirichlet minimizing Q-valued functionsFeb 11 2014We consider the H\"older continuity for the Dirichlet problem at the boundary. Almgren introduced the multivalued; Q-valued functions for studying regularity of minimal surfaces in higher codimension. The H\"older continuity in the interior for Dirichlet ... More

A new method for constructing Anosov Lie algebrasDec 10 2013Jan 12 2015It is conjectured that every manifold admitting an Anosov diffeomorphism is, up to homeomorphism, finitely covered by a nilmanifold. Motivated by this conjecture, an important problem is to determine which nilmanifolds admit an Anosov diffeomorphism. ... More

A note on the Gaussian maximal functionsNov 20 2013Jul 08 2014This note presents a proof that the non-tangential maximal function of the Ornstein-Uhlenbeck semigroup is bounded almost surely by the Gaussian Hardy-Littlewood maximal function. In particular this entails improvement on a result by Pineda and Urbina ... More

A fibrational study of realizability toposesMar 14 2014This is the author's PhD thesis. It is a contribution to categorical logic, in particular to the theory of realizability toposes. While the tools of categorical logic have proven very successful in analyzing and organizing proof theoretic realizability ... More

Complete classification of 2-ramified power seriesJan 14 2016Mar 21 2016In 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

Reduction of Statistical Power Per Event Due to Upper Lifetime Cuts in Lifetime MeasurementsFeb 25 2005Feb 09 2007A cut on the maximum lifetime in a lifetime fit not only reduces the number of events, but also, in some circumstances dramatically, decreases the statistical significance of each event. The upper impact parameter cut in the hadronic B trigger at CDF, ... More

Non-monotonicity of trace distance under tensor productsMar 10 2015Aug 21 2015The trace distance (TD) possesses several of the good properties required for a faithful distance measure in the quantum state space. Despite its importance and ubiquitous use in quantum information science, one of its questionable features, its possible ... More

Multiple-time-scale Landau-Zener transitions in many-body systemsOct 29 2013Jan 27 2015Motivated by recent cold atom experiments in optical lattices, we consider a lattice version of the Landau-Zener problem. Every single site is described by a Landau-Zener problem, but due to particle tunnelling between neighboring lattice sites this onsite ... More

Interaction induced Landau-Zener transitionsMay 27 2014By considering a quantum critical Lipkin-Meshkov-Glick model we analyze a new type of Landau-Zener transitions where the population transfer is mediated by interaction rather than from a direct diabatic coupling. For this scenario, at a mean-field level ... More

The Double Complex of a Blow-upAug 08 2018We compute the double complex of smooth complex-valued differential forms on projective bundles over and blow-ups of compact complex manifolds up to a suitable notion of quasi-isomorphism. This simultaneously yields formulas for 'all' cohomologies naturally ... More