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A new mechanism of sterile neutrino dark matter productionFeb 08 2018We consider a scenario where the dark matter candidate is a sterile neutrino with sizable self-interactions, described by a dimension-six operator, and with negligible interactions with the Standard Model. The relic abundance is set by the freeze-out ... More

A new mechanism of sterile neutrino dark matter productionFeb 08 2018Jul 20 2018We consider a scenario where the dark matter candidate is a sterile neutrino with sizable self-interactions, described by a dimension-six operator, and with negligible interactions with the Standard Model. The relic abundance is set by the freeze-out ... More

Antideuterons in cosmic rays: sources and discovery potentialOct 01 2016Antibaryons are produced in our Galaxy in collisions of high energy cosmic rays with the interstellar medium and in old supernova remnants, and possibly, in exotic sources such as primordial black hole evaporation or dark matter annihilations and decays. ... More

Antideuterons in cosmic rays: sources and discovery potentialOct 01 2016Feb 13 2017Antibaryons are produced in our Galaxy in collisions of high energy cosmic rays with the interstellar medium and in old supernova remnants, and possibly, in exotic sources such as primordial black hole evaporation or dark matter annihilations and decays. ... More

Lie-Rinehart algebras, Gerstenhaber algebras, and B-V algebrasApr 09 1997For a Lie-Rinehart algebra (A,L), generators for the Gerstenhaber algebra \Lambda_A L correspond bijectively to right (A,L)-connections on A in such a way that B-V structures correspond to right (A,L)-module structures on A. When L is projective as an ... More

Extended moduli spaces and the Kan constructionMay 23 1995Let $Y$ be a CW-complex with a single 0-cell, let $K$ be its Kan group, a free simplicial group whose realization is a model for the space $\Omega Y$ of based loops on $Y$, and let $G$ be a Lie group, not necessarily connected. By means of simplicial ... More

Byte-based Language Identification with Deep Convolutional NetworksSep 28 2016We report on our system for the shared task on discriminating between similar languages (DSL 2016). The system uses only byte representations in a deep residual network (ResNet). The system, named ResIdent, is trained only on the data released with the ... More

Derivative ChameleonsMar 29 2012We consider generalized chameleon models where the conformal coupling between matter and gravitational geometries is not only a function of the chameleon field \phi, but also of its derivatives via higher order co-ordinate invariants. Specifically we ... More

The Local Structure of Tilings and their Integer Group of CoinvariantsAug 02 1995The local structure of a tiling is described in terms of a multiplicative structure on its pattern classes. The groupoid associated to the tiling is derived from this structure and its integer group of coinvariants is defined. This group furnishes part ... More

On $K_0$-Groups for Substitution TilingsMar 02 1995Mar 03 1995The group $C(\Om,\Z)/\E$ is determined for tilings which are invariant under a locally invertible primitive \sst\ which forces its \saum. In case the tiling may be obtained by the generalized dual method from a regular grid this group furnishes part of ... More

Gap Labelling for Schrödinger Operators on Quasiperiodic TilingsJun 27 1994For a large class of tilings, including those which are obtained by the generalized dual method from regular grids, it is shown that their algebra is stably isomorphic to a crossed product with $\Z^d$. Penrose tilings belong to this class. This enlarges ... More

Pattern equivariant functions, deformations and equivalence of tiling spacesMar 06 2007We reinvestigate the theory of deformations of tilings using P-equivariant cohomology. In particular we relate the notion of asymptotically negligible shape functions introduced by Clark and Sadun to weakly P-equivariant forms. We then investigate more ... More

The Theory of Deeply Inelastic ScatteringAug 30 2012Nov 30 2012The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the different parton ... More

$Λ_{\rm QCD}$ and $α_s(M_Z^2)$ from DIS Structure FunctionsJun 17 2007A brief summary is given on recent determinations of $\Lambda_{\rm QCD}$ and $\alpha_s(M_Z^2)$ from deeply inelastic structure functions.

On the measurability of the structure function $g_1(X,Q^2)$ in $ep$ collisions at HERAAug 28 1995Nov 08 1995The possibility is investigated to measure the polarized structure function $g_1(x,Q^2)$ in the collider mode of HERA operating with a polarized lepton and proton beam. The $x$ dependence of $g_1$ can be measured at a statistical precision of $\sim 20\%~{\rm ... More

Quantum violation of macroscopic realism and the transition to classical physicsDec 01 2008The descriptions of the quantum realm and the macroscopic classical world differ significantly not only in their mathematical formulations but also in their foundational concepts and philosophical consequences. When and how physical systems stop to behave ... More

Combining and comparing neutrinoless double beta decay experiments using different nucleiDec 18 2012Apr 04 2013We perform a global fit of the most relevant neutrinoless double beta decay experiments within the standard model with massive Majorana neutrinos. Using Bayesian inference makes it possible to take into account the theoretical uncertainties on the nuclear ... More

MathPSfrag 2: Convenient LaTeX Labels in MathematicaJan 15 2008This article introduces the next version of MathPSfrag. MathPSfrag is a Mathematica package that during export automatically replaces all expressions in a plot by corresponding LaTeX commands. The new version can also produce LaTeX independent images; ... More

Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulatorsJun 15 1998I construct the spectral function of the Luther-Emery model which describes one-dimensional fermions with one gapless and one gapped degree of freedom, i.e. superconductors and Peierls and Mott insulators, by using symmetries, relations to other models, ... More

One-Dimensional Fermi liquidsSep 29 1995I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of ... More

Micro-mechanics of multi-phase ferroelectric domain structuresMar 20 2006High-strain piezoelectric materials are often ceramics with a complicated constitution. In particular, PZT is used with compositions near to a so-called morphotropic phase boundary, where not only different variants of the same phase (domains), but different ... More

Effective intrinsic linear properties of laminar piezoelectric composites and simple ferroelectric domain structuresOct 11 2005The effective properties of piezoelectric laminates have been analyzed, based on the calculation of internal fields and making use of a simple matrix manipulation method. The results are expressed in a compact notation which is convenient for numerical ... More

Localisation on Sasaki-Einstein manifolds from holomophic functions on the coneJan 14 2014We study super Yang-Mills theories on five-dimensional Sasaki-Einstein manifolds. Using localisation techniques, we find that the contribution from the vector multiplet to the perturbative partition function can be calculated by counting holomorphic functions ... More

Additive Splittings of Homogeneous PolynomialsJul 12 2013In this thesis we study when a homogeneous polynomial $f$ decomposes or "splits" additively. Up to base change this means that it is possible to write $f = g + h$ where $g$ and $h$ are polynomials in independent sets of variables. This simple idea leads ... More

On uniform approximation to successive powers of a real numberMar 30 2016Nov 07 2016We establish new inequalities involving classical exponents of Diophantine approximation. This allows for improving on the work of Davenport, Schmidt and Laurent concerning the maximum value of the exponent $\hat{\lambda}_{n}(\zeta)$ among all real transcendental ... More

Real-analytic Eisenstein series via the Poincaré bundleJan 17 2018A classical construction of Katz gives a purely algebraic construction of real-analytic Eisenstein series using the Gau\ss--Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties ... More

Efficient Nonlinear Transforms for Lossy Image CompressionJan 31 2018We assess the performance of two techniques in the context of nonlinear transform coding with artificial neural networks, Sadam and GDN. Both techniques have been successfully used in state-of-the-art image compression methods, but their performance has ... More

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

Cyclic cohomology for graded $C^{*,r}$-algebras and its pairings with van Daele $K$-theoryJul 28 2016We consider cycles for graded $C^{*,\mathfrak{r}}$-algebras (Real $C^{*}$-algebras) which are compatible with the $*$-structure and the real structure. Their characters are cyclic cocycles. We define a pairing between such characters and elements of the ... More

All graphs have tree-decompositions displaying their topological endsSep 23 2014Feb 25 2015We show that every connected graph has a spanning tree that displays all its topological ends. This proves a 1964 conjecture of Halin in corrected form, and settles a problem of Diestel from 1992.

A new proof for the conditions of Novikov and KazamakiNov 23 2011Dec 21 2012This paper provides a novel proof for the sufficiency of certain well-known criteria that guarantee the martingale property of a continuous, nonnegative local martingale. More precisely, it is shown that generalizations of Novikov's condition and Kazamaki's ... More

Byte-based Language Identification with Deep Convolutional NetworksSep 28 2016Oct 28 2016We report on our system for the shared task on discriminating between similar languages (DSL 2016). The system uses only byte representations in a deep residual network (ResNet). The system, named ResIdent, is trained only on the data released with the ... More

Rational approximation to algebraic varieties and a new exponent of simultaneous approximationJan 12 2016Mar 08 2016This paper deals with two main topics related to Diophantine approximation. Firstly, we show that if a point on an algebraic variety is approximable by rational vectors to a sufficiently large degree, the approximating vectors must lie in the topological ... More

A Kinematic Condition on Intrinsic CharmNov 01 2015Jan 02 2016We derive a kinematic condition on the resolution of intrinsic charm and discuss phenomenological consequences.

Composition, Cooperation, and Coordination of Computational SystemsFeb 23 2016A system model is developed where the criterion to partition the world into a system and a rest is based on the functional relation between its states. This approach implies that the gestalt of systems becomes very dynamic. Especially interactions between ... More

Graphical Models for Discrete and Continuous DataSep 18 2016We introduce a general framework for undirected graphical models. It generalizes Gaussian graphical models to a wide range of continuous, discrete, and combinations of different types of data. We also show that the models in the framework, called exponential ... More

Index theory in spaces of noncompact manifolds II: A stable homotopy version of the Atiyah-Singer index theoremAug 04 2016We formulate and prove a generalization of the Atiyah-Singer family index theorem in the context of the theory of spaces of manifolds \`a la Madsen, Tillmann, Weiss, Galatius and Randal-Williams. Our results are for Dirac-type operators linear over arbitrary ... More

On the $\mathfrak{grt}$ hexagon symmetryFeb 13 2015Jul 28 2015In this paper we show that it is possible to project onto the solutions of the $\mathfrak{grt}$ hexagon equation. We also consider in some sense generalized hexagon equations and other symmetry equations for multiple argument maps between groups or torsors ... More

Positive Limit-Fourier Transform of Farey FractionsOct 10 2013Jan 19 2014We consider the entity of modified Farey fractions via a function F defined on the direct sum of Z/2Z and we prove that -F has a non negative Limit-Fourier transform up to one exceptional coefficient.

Iterates of Markov operators and their limitsJun 02 2017It is well known that iterates of quasi-compact operators converge towards a spectral projection, whereas the explicit construction of the limiting operator is in general hard to obtain. Here, we show a simple method to explicitly construct this projection ... More

Statistical mechanics of the inverse Ising problem and the optimal objective functionNov 14 2016Jun 30 2017The inverse Ising problem seeks to reconstruct the parameters of an Ising Hamiltonian on the basis of spin configurations sampled from the Boltzmann measure. Over the last decade, many applications of the inverse Ising problem have arisen, driven by the ... More

Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebrasNov 17 2003Apr 08 2004Higher homotopy generalizations of Lie-Rinehart algebras, Gerstenhaber-, and Batalin-Vilkovisky algebras are explored. These are defined in terms of various antisymmetric bilinear operations satisfying weakened versions of the Jacobi identity, as well ... More

Cyclic cohomology for graded $C^{*,r}$-algebras and its pairings with van Daele $K$-theoryJul 28 2016Feb 12 2019We consider cycles for graded $C^{*,r}$-algebras (Real $C^{*}$-algebras) which are compatible with the $*$-structure and the real structure. Their characters are cyclic cocycles. We define a Connes type pairing between such characters and elements of ... More

PT symmetry and Weyl asymptoticsMay 24 2011For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is non-real, there are many non-real eigenvalues.

Embedding simply connected 2-complexes in 3-space -- I. A Kuratowski-type characterisationSep 14 2017We characterise the embeddability of simply connected locally 3-connected 2-dimensional simplicial complexes in 3-space in a way analogous to Kuratowski's characterisation of graph planarity, by excluded minors. This answers questions of Lov\'asz and ... More

Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbationsSep 24 2008In this work we extend a previous work about the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint differential operators with small multiplicative random perturbations, by treating the case of operators on compact manifolds

Wee LCPOct 16 2009Feb 19 2010We prove that longest common prefix (LCP) information can be stored in much less space than previously known. More precisely, we show that in the presence of the text and the suffix array, o(n) additional bits are sufficient to answer LCP-queries asymptotically ... More

Generating clones with conservative near-unanimity operationMar 27 2015Due to the Baker-Pixley theorem we know that every clone over a finite domain $A$ containing a near-unanimity operation $g$ is finitely generated. Therefore there exists an integer $k$ such that the clone is generated by its $k$-ary part. In this paper ... More

Secure Multi-Party Computation with a HelperAug 31 2015Jul 19 2017A client wishes to outsource computation on confidential data to a network of parties. He does not trust a single party but believes that multiple parties do not collude. To solve this problem, we use the idea of treating one of the parties as a helper. ... More

Convex pricing by a generalized entropy penaltyApr 01 2008In an incomplete Brownian-motion market setting, we propose a convex monotonic pricing functional for nonattainable bounded contingent claims which is compatible with prices for attainable claims. The pricing functional is defined as the convex conjugate ... More

Two estimates concerning classical Diophantine approximation constantsJan 15 2013In this paper we aim to prove two inequalities involving the classical approximation constants $w_{n}^{\prime}(\zeta),\hat{w}_{n}^{\prime}(\zeta)$ that stem from the simultaneous approximation problem $|\zeta^{j}x-y_{j}|$, $1\leq j\leq n$, on the one ... More

Resolvent estimates for non-self-adjoint operators via semi-groupsMay 30 2009We consider a non-self-adjoint $h$-pseudodifferential operator $P$ in the semi-classical limit ($h\to 0$). If $p$ is the leading symbol, then under suitable assumptions about the behaviour of $p$ at infinity, we know that the resolvent $(z-P)^{-1}$ is ... More

A trace formula for rigid varieties, and motivic Weil generating series for formal schemesMar 01 2007Sep 26 2008We establish a trace formula for rigid varieties $X$ over a complete discretely valued field, which relates the set of unramified points on $X$ to the Galois action on its \'etale cohomology. We develop a theory of motivic integration for formal schemes ... More

W-graphs and Gyoja's W-graph algebraMay 19 2014Oct 14 2016Let $(W,S)$ be a finite Coxeter group. Kazhdan and Lusztig introduced the concept of $W$-graphs and Gyoja proved that every irreducible representation of the Iwahori-Hecke algebra $H(W,S)$ can be realized as a $W$-graph. Gyoja defined an auxiliary algebra ... More

Some results on non-self-adjoint operators, a surveyApr 23 2008This text is a survey of recent results obtained by the author and collaborators on different problems for non-self-adjoint operators. The topics are: Kramers-Fokker-Planck type operators, spectral asymptotics in two dimensions and Weyl asymptotics for ... More

Poisson cohomology and quantizationMar 15 2013Let R be a commutative ring, and let A be a Poisson algebra over R. We construct an (R,A)-Lie algebra structure, in the sense of Rinehart, on the A-module of K\"ahler differentials of A depending naturally on A and the Poisson bracket. This gives rise ... More

Interaction of modulated pulses in scalar multidimensional nonlinear latticesFeb 11 2009We investigate the macroscopic dynamics of sets of an arbitrary finite number of weakly amplitude-modulated pulses in a multidimensional lattice of particles. The latter are assumed to exhibit scalar displacement under pairwise, arbitrary-range, nonlinear ... More

Intersections on tropical moduli spacesDec 19 2008Aug 24 2015This article explores to which extent the algebro-geometric theory of rational descendant Gromov-Witten invariants can be carried over to the tropical world. Despite the fact that the tropical moduli-spaces we work with are non-compact, the answer is ... More

Lyapunov Exponents of Brownian Motion: Decay Rates for Scaled Poissonian Potentials and BoundsJan 18 2011Oct 19 2011We investigate Lyapunov exponents of Brownian motion in a nonnegative Poissonian potential $V$. The Lyapunov exponent depends on the potential $V$ and our interest lies in the decay rate of the Lyapunov exponent if the potential $V$ tends to zero. In ... More

The Global Cohen-Lenstra HeuristicDec 25 2009Apr 30 2010The Cohen-Lenstra heuristic is a universal principle that assigns to each group a probability that tells how often this group should occur "in nature". The most important, but not the only, applications are sequences of class groups, which behave like ... More

An equivalence principle between polynomial and simultaneous Diophantine approximationMar 31 2017Dec 19 2017We show that Mahler's classification of real numbers $\zeta$ with respect to the growth of the sequence $(w_{n}(\zeta))_{n\geq 1}$ is equivalently induced by certain natural assumptions on the decay of the sequence $(\lambda_{n}(\zeta))_{n\geq 1}$ concerning ... More

Rational approximation to algebraic varieties and a new exponent of simultaneous approximationJan 12 2016Mar 10 2017This paper deals with two main topics related to Diophantine approximation. Firstly, we show that if a point on an algebraic variety is approximable by rational vectors to a sufficiently large degree, the approximating vectors must lie in the topological ... More

Diophantine approximation on polynomial curvesMar 05 2015Mar 17 2015In a paper from 2010, Budarina, Dickinson and Levesley studied the rational approximation properties of curves parametrized by polynomials with integral coefficients in Euclidean space of arbitrary dimension. Assuming the dimension is at least three and ... More

Applications of Siegel's Lemma to best approximations for a linear formApr 12 2019Consider a real vector $(1,\zeta_{1},\ldots,\zeta_{n})$. The problem of making linear forms $p_{0}+p_{1}\zeta_{1}+\cdots+p_{n}\zeta_{n}$ for integers $p_{j}$ small naturally induces a sequence of integer vectors called best approximations or minimal points. ... More

A correspondence of good G-sets under partial geometric quotientsNov 09 2016For a complex variety $\hat X$ with an action of a reductive group $\hat G$ and a geometric quotient $\pi: \hat X \to X$ by a closed normal subgroup $H \subset \hat G$, we show that open sets of $X$ admitting good quotients by $G=\hat G / H$ correspond ... More

A General Dichotomy of Evolutionary Algorithms on Monotone FunctionsMar 25 2018Mar 28 2018It is known that the evolutionary algorithm $(1+1)$-EA with mutation rate $c/n$ optimises every monotone function efficiently if $c<1$, and needs exponential time on some monotone functions (HotTopic functions) if $c\geq 2.2$. We study the same question ... More

The syntomic realization of the elliptic polylogarithm via the Poincaré bundleFeb 14 2018In this paper, we give an explicit description of the syntomic elliptic polylogarithm on the universal elliptic curve over the ordinary locus of the modular curve in terms of certain $p$-adic analytic moment functions associated to Katz' two-variable ... More

Identifying Phrasemes via Interlingual Association Measures -- A Data-driven Approach on Dependency-parsed and Word-aligned Parallel CorporaSep 24 2017This is a preprint of the article "Identifying Phrasemes via Interlingual Association Measures" that was presented in February 2016 at the LeKo (Lexical combinations and typified speech in a multilingual context) conference in Innsbruck.

When You Should Use Lists in Haskell (Mostly, You Should Not)Aug 24 2018We comment on the over-use of lists in functional programming. With this respect, we review history of Haskell and some of its libraries, and hint at current developments.

Path Throughput Importance WeightsJun 04 2018Sep 06 2018Many Monte Carlo light transport simulations use multiple importance sampling (MIS) to weight between different path sampling strategies. We propose to use the path throughput to compute the MIS weights instead of the commonly used probability density ... More

Large scale analytic calculations in quantum field theoriesMay 06 2019We present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.

Fresnel's equations in statics and quasistaticsFeb 22 2019Fresnel's equations describe reflection and transmission of electromagnetic waves at an interface between two media. It turns out that these equations can be used in quasistatics and even statics, for example to straightforwardly calculate magnetic forces ... More

Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearityNov 05 2015We prove convergence of positive solutions to \[ u_t = u\Delta u + u\int_{\Omega} |\nabla u|^2, \qquad u\rvert_{\partial\Omega} =0, \qquad u(\cdot,0)=u_0 \] in a bounded domain $\Omega\subset \mathbb{R}^n$, $n\ge 1$, with smooth boundary in the case of ... More

Origins and breadth of the theory of higher homotopiesOct 14 2007Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branches of theoretical physics. We recall some of the connections between the past and the present developments. Higher homotopies were isolated within algebraic ... More

Singular Poisson-Kaehler geometry of Scorza varieties and their secant varietiesMay 10 2004Each Scorza variety and its secant varieties in the ambient projective space are identified, in the realm of singular Poisson-Kaehler geometry, in terms of projectivizations of holomorphic nilpotent orbits in suitable Lie algebras of hermitian type, the ... More

Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic sourceJul 18 2014We prove existence of global weak solutions to the chemotaxis system $ u_t=\Delta u - \nabla\cdot (u\nabla v) +\kappa u -\mu u^2 $ $ v_t=\Delta v-v+u $ under homogeneous Neumann boundary conditions in a smooth bounded convex domain $\Omega\subset R^n$, ... More

Real nodal sextics without real nodesApr 04 2017We present a rigid isotopy classification of irreducible sextic curves in $\mathbb{RP}^2$ which have non-real ordinary double points as their only singularities. Our approach uses periods of K3 surfaces and V. Nikulin's classification of involutions with ... More

Geometric invariants for non-archimedean semialgebraic setsMar 29 2016This survey paper explains how one can attach geometric invariants to semialgebraic sets defined over non-archimedean fields, using the theory of motivic integration of Hrushovski and Kazhdan. It also discusses tropical methods to compute these invariants ... More

On canonical bases and induction of $W$-graphsNov 11 2014A canonical basis in the sense of Lusztig is a basis of a free module over a ring of Laurent polynomials that is invariant under a certain semilinear involution and is obtained from a fixed "standard basis" through base change matrix with polynomials ... More

On Consistent Kinetic and Derivative Interactions for GravitonsSep 26 2014Apr 20 2015The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term. Here we propose and investigate a new family of candidate kinetic interactions and their extensions ... More

A statistical test for Nested Sampling algorithmsJul 21 2014Dec 02 2014Nested sampling is an iterative integration procedure that shrinks the prior volume towards higher likelihoods by removing a "live" point at a time. A replacement point is drawn uniformly from the prior above an ever-increasing likelihood threshold. Thus, ... More

Paradigm shifts. Part II. Reverse Transcriptase. Analysis of reference stability and word frequenciesDec 07 2014Dec 09 2014The reverse transcription paradigm shift in RNA tumor virus research marked by the discovery of the reverse transcriptase in 1970 was traced using co-citation and title word frequency analysis. It is shown that this event is associated with a break in ... More

On the C*-algebraic approach to topological phases for insulatorsSep 21 2015Dec 22 2015The notion of a topological phase of an insulator is based on the concept of homotopy between Hamiltonians. It therefore depends on the choice of a topological space to which the Hamiltonians belong. We advocate that this space should be the $C^*$-algebra ... More

Rust-Bio - a fast and safe bioinformatics librarySep 09 2015We present Rust-Bio, the first general purpose bioinformatics library for the innovative Rust programming language. Rust-Bio leverages the unique combination of speed, memory safety and high-level syntax offered by Rust to provide a fast and safe set ... More

Descent of algebraic cyclesJun 08 2015We characterize universally generalizing morphisms which satisfy descent of algebraic cycles integrally as those universally generalizing morphisms which are surjective with generically reduced fibres. In doing so, we introduce a naive pull-back of cycles ... More

Pionless Effective Field Theory in Few-Nucleon SystemsJun 01 2015Jun 02 2015A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium binding energy ... More

On self-adjointness of Poisson summationJan 04 2015Oct 14 2015We show that a combination of well-known operators, namely $\I{\tau}\circ{H}\circ\Ps$ is self-adjoint and {\em ad-hoc} related to the $\zeta$ function. Here ${\tau}$ is an involution appearing in Weil's positivity criteria needed for hermitrization, $H$ ... More

Statistical mechanics of the inverse Ising problem and the optimal objective functionNov 14 2016The inverse Ising problem seeks to reconstruct the parameters of an Ising Hamiltonian on the basis of spin configurations sampled from the Boltzmann measure. Recently, strategies to solve the inverse Ising problem based on convex optimisation have proven ... More

New Methods to Improve Large-Scale Microscopy Image Analysis with Prior Knowledge and UncertaintyAug 30 2016Multidimensional imaging techniques provide powerful ways to examine various kinds of scientific questions. The routinely produced datasets in the terabyte-range, however, can hardly be analyzed manually and require an extensive use of automated image ... More

The spectrogram expansion of Wigner functionsJul 01 2016Wigner functions generically attain negative values and hence are not probability densities. We prove an asymptotic expansion of Wigner functions in terms of Hermite spectrograms, which are probability densities. The expansion provides exact formulas ... More

Standard and non-standard metarefraction with confocal lenslet arraysJan 21 2009A recent paper demonstrated that two lenslet arrays with focal lengths f_1 and f_2, separated by f_1 + f_2, change the direction of transmitted light rays approximately like the interface between isotropic media with refractive indices n_1 and n_2, where ... More

Poisson structures on certain moduli spaces for bundles on a surfaceNov 23 1994Let $\Sigma$ be a closed surface, $G$ a compact Lie group, with Lie algebra $g$, and $\xi \colon P \to \Sigma$ a principal $G$-bundle. In earlier work we have shown that the moduli space $N(\xi)$ of central Yang- Mills connections, for appropriate additional ... More

Smooth structures on certain moduli spaces for bundles on a surfaceNov 23 1994Let $\Sigma$ be a closed surface, $G$ a compact Lie group, with Lie algebra $g$, $\xi \colon P \to \Sigma$ a principal $G$-bundle, let $N(\xi)$ denote the moduli space of central Yang-Mills connections on $\xi$, for suitably chosen additional data, and ... More

The singularities of Yang-Mills connections for bundles on a surface. II. The stratificationNov 22 1994Let $\Sigma$ be a closed surface, $G$ a compact Lie group, not necessarily connected, with Lie algebra $g$, endowed with an adjoint action invariant scalar product, let $\xi \colon P \to \Sigma$ be a principal $G$-bundle, and pick a Riemannian metric ... More

Symplectic and Poisson structures of certain moduli spacesDec 14 1993Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./ Abstract: Let $\pi$ be the fundamental group of a closed surface and $G$ a Lie group with a biinvariant metric, not necessarily positive definite. It is shown that a certain construction ... More

Topological Bragg Peaks And How They Characterise Point SetsSep 29 2013Bragg peaks in point set diffraction show up as eigenvalues of a dynamical system. Topological Bragg peaks arrise from topological eigenvalues and determine the torus parametrisation of the point set. We will discuss how qualitative properties of the ... More

Non Commutative Geometry of Tilings and Gap LabellingMar 17 1994Apr 22 1994To a given tiling a non commutative space and the corresponding C*-algebra are constructed. This includes the definition of a topology on the groupoid induced by translations of the tiling. The algebra is also the algebra of observables for discrete models ... More

Topological equivalence of tilingsSep 26 1996We introduce a notion of equivalence on tilings which is formulated in terms of their local structure. We compare it with the known concept of locally deriving one tiling from another and show that two tilings of finite type are topologically equivalent ... More

Constraining fast-roll inflationMay 25 2012Sep 10 2012We present constraints on how far single field inflation may depart from the familiar slow-roll paradigm. Considering a fast-roll regime while requiring a (near)-scale-invariant power spectrum introduces large self-interactions for the field and consequently ... More

Status of Polarized and Unpolarized Deep Inelastic ScatteringOct 16 2005The current status of deep inelastic scattering is briefly reviewed. We discuss future theoretical developments desired and measurements needed to further complete our understanding of the picture of nucleons at short distances.