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Evolved Art with Transparent, Overlapping, and Geometric ShapesApr 12 2019In this work, an evolutionary art project is presented where images are approximated by transparent, overlapping and geometric shapes of different types, e.g., polygons, circles, lines. Genotypes representing features and order of the geometric shapes ... More

Evolved Art with Transparent, Overlapping, and Geometric ShapesApr 12 2019May 15 2019In this work, an evolutionary art project is presented where images are approximated by transparent, overlapping and geometric shapes of different types, e.g., polygons, circles, lines. Genotypes representing features and order of the geometric shapes ... More

Evolved Art with Transparent, Overlapping, and Geometric ShapesApr 12 2019May 16 2019In this work, an evolutionary art project is presented where images are approximated by transparent, overlapping and geometric shapes of different types, e.g., polygons, circles, lines. Genotypes representing features and order of the geometric shapes ... More

Perfect Skolem setsJun 08 2005A Skolem sequence is a sequence a_1,a_2,...,a_2n (where a_i \in A = {1,...,n }), each a_i occurs exactly twice in the sequence and the two occurrences are exactly a_i positions apart. A set A that can be used to construct Skolem sequences is called a ... More

Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the latticeSep 27 2016The anomalous magnetic moment of the muon currently exhibits a discrepancy of about three standard deviations between the experimental value and recent Standard Model predictions. The theoretical uncertainty is dominated by the hadronic vacuum polarization ... More

Good Hilbert functorsNov 03 2016We introduce the good Hilbert functor and prove that it is algebraic. This functor generalizes various versions of the Hilbert moduli problem, such as the multigraded Hilbert scheme and the invariant Hilbert scheme. Moreover, we generalize a result concerning ... More

The first fundamental theorem of invariant theory for the orthosymplectic supergroupJan 29 2014May 05 2015We give an elementary proof of the first fundamental theorem of the invariant theory for the orthosymplectic supergroup by generalising the method of Atiyah, Bott and Patodi to the supergroup context. We use methods from super-algebraic geometry to convert ... More

Unique continuation from infinity in asympotically Anti-de Sitter spacetimes II: Non-static boundariesAug 26 2016Nov 28 2017We generalize our unique continuation results recently established for a class of linear and nonlinear wave equations $\Box_g \phi + \sigma \phi = \mathcal{G} ( \phi, \partial \phi )$ on asymptotically anti-de Sitter (aAdS) spacetimes to aAdS spacetimes ... More

Unique continuation from infinity in asymptotically Anti-de Sitter spacetimesAug 16 2015Aug 05 2016We consider the unique continuation properties of asymptotically Anti-de Sitter spacetimes by studying Klein-Gordon-type equations $\Box_g \phi + \sigma \phi = \mathcal{G} ( \phi, \partial \phi )$, $\sigma \in \mathbb{R}$, on a large class of such spacetimes. ... More

Rees algebras of modules and coherent functorsSep 23 2014Nov 03 2016We show that several properties of the theory of Rees algebras of modules become more transparent using the category of coherent functors rather than working directly with modules. In particular, we show that the Rees algebra is induced by a canonical ... More

The second fundamental theorem of invariant theory for the orthogonal groupFeb 16 2011Let $V=\C^n$ be endowed with an orthogonal form and $G=\Or(V)$ be the corresponding orthogonal group. Brauer showed in 1937 that there is a surjective homomorphism $\nu:B_r(n)\to\End_G(V^{\otimes r})$, where $B_r(n)$ is the $r$-string Brauer algebra with ... More

Direct calculation of hadronic light-by-light scatteringOct 28 2015We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular attention is ... More

The arithmetic of Prym varieties in genus 3Aug 04 2004May 31 2006Given a curve of genus 3 with an unramified double cover, we give an explicit description of the associated Prym-variety. We also describe how an unramified double cover of a non-hyperelliptic genus 3 curve can be mapped into the Jacobian of a curve of ... More

Discrepancy of Sums of two Arithmetic ProgressionsMar 05 2007Estimating the discrepancy of the hypergraph of all arithmetic progressions in the set $[N]=\{1,2,\hdots,N\}$ was one of the famous open problems in combinatorial discrepancy theory for a long time. An extension of this classical hypergraph is the hypergraph ... More

An algebraic characterization of the Kronecker functionJun 13 2018Jan 22 2019We characterize the generating series of extended period polynomials of normalized Hecke eigenforms for $\operatorname{PSL}_2(\mathbb Z)$ studied by Zagier in terms of the period relations and existence of a suitable factorization. For this we prove a ... More

Operators of subprincipal typeJul 20 2015Nov 18 2016In this paper we consider the solvability of pseudodifferential operators when the principal symbol vanishes of at least second order at a non-radial involutive manifold $\Sigma_2$. We shall assume that the subprincipal symbol is of principal type with ... More

The Solvability and Subellipticity of Systems of Pseudodifferential OperatorsMay 24 2008Dec 28 2008The paper studies the local solvability and subellipticity for square systems of principal type. These are the systems for which the principal symbol vanishes of first order on its kernel. For systems of principal type having constant characteristics, ... More

The primitive solutions to x^3+y^9=z^2Oct 31 2003We determine the rational integers x,y,z such that x^3+y^9=z^2 and gcd(x,y,z)=1. First we determine a finite set of curves of genus 10 such that any primitive solution to x^3+y^9=z^2 corresponds to a rational point on one of those curves. We observe that ... More

Hadronic light-by-light scattering contribution to the muon g-2 on the latticeJan 12 2018We briefly review several activities at Mainz related to hadronic light-by-light scattering (HLbL) using lattice QCD. First we present a position-space approach to the HLbL contribution in the muon g-2, where we focus on exploratory studies of the pion-pole ... More

Noise-induced phase slips, log-periodic oscillations, and the Gumbel distributionMar 28 2014Oct 02 2014When two synchronised phase oscillators are perturbed by weak noise, they display occasional losses of synchrony, called phase slips. The slips can be characterised by their location in phase space and their duration. We show that when properly normalised, ... More

Solvability and limit complex bicharacteristicsDec 27 2016Nov 25 2017We shall study the solvability of pseudodifferential operators which are not of principal type. The operator will have complex principal symbol satisfying condition ($\Psi$) and we shall consider the limits of semibicharacteristics at the set where the ... More

Acoustic boundary layers as boundary conditionsJan 12 2018Jun 04 2018The linearized, compressible Navier-Stokes equations can be used to model acoustic wave propagation in the presence of viscous and thermal boundary layers. However, acoustic boundary layers are notorious for invoking prohibitively high resolution requirements ... More

Prospects of measuring Higgs boson decays into muon pairs at the ILCFeb 13 2019We study the prospects of measuring the decay of the Higgs boson into a pair of muons at the International Linear Collider (ILC). The study is performed at center-of-mass energies of 250\,GeV and 500\,GeV, with fully-simulated Monte-Carlo samples based ... More

Solvability of subprincipal type operatorsJun 20 2017Jan 23 2018In this paper we consider the solvability of pseudodifferential operators in the case when the principal symbol vanishes of order $k \ge 2 $ at a nonradial involutive manifold $\Sigma_2$. We shall assume that the operator is of subprincipal type, which ... More

FractalNet: Ultra-Deep Neural Networks without ResidualsMay 24 2016We introduce a design strategy for neural network macro-architecture based on self-similarity. Repeated application of a single expansion rule generates an extremely deep network whose structural layout is precisely a truncated fractal. Such a network ... More

Open Wilson chains for quantum impurity models: Keeping track of all bath modesNov 16 2016Apr 03 2017When constructing a Wilson chain to represent a quantum impurity model, the effects of truncated bath modes are neglected. We show that their influence can be kept track of systematically by constructing an "open Wilson chain" in which each site is coupled ... More

Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensionsApr 12 2015Jun 16 2015We prove local existence of solutions for a class of suitably renormalised coupled SPDE-ODE systems driven by space-time white noise, where the space dimension is equal to 2 or 3. This class includes in particular the FitzHugh-Nagumo system describing ... More

Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyondFeb 05 2012Dec 02 2012We prove a Kramers-type law for metastable transition times for a class of one-dimensional parabolic stochastic partial differential equations (SPDEs) with bistable potential. The expected transition time between local minima of the potential energy depends ... More

L2 d-bar cohomology groups of some singular complex spacesJan 10 2011Jul 11 2011Let X be a pure n-dimensional (n>1) complex analytic set in C^N with an isolated singularity at 0. In this paper we express the L2-(0,q)-d-bar-cohomology groups for all q with 0<q<n+1, of a sufficiently small deleted neighborhood of the singular point, ... More

An extension of the linear theory of isothermal sound propagation in an aerosolMay 02 2019The existing linear theory of isothermal sound propagation in an aerosol considers Stokes drag and treats particles which are infinitely viscous. We extend the theory by applying the Coriolis flowmeter "bubble theory". Here, the drag force is a function ... More

Interface dynamics of a metastable mass-conserving spatially extended diffusionAug 18 2015We study the metastable dynamics of a discretised version of the mass-conserving stochastic Allen-Cahn equation. Consider a periodic one-dimensional lattice with $N$ sites, and attach to each site a real-valued variable, which can be interpreted as a ... More

Yet another proof of the Morse index theoremDec 18 2013Nov 01 2015We give a new analytical proof of the Morse index theorem for geodesics in Riemannian manifolds.

Jacobi Forms of Degree One and Weil RepresentationsNov 04 2007We discuss the notion of Jacobi forms of degree one with matrix index, we state dimension formulas, give explicit examples, and indicate how closely their theory is connected to the theory of invariants of Weil representations associated to finite quadratic ... More

Visibility of 4-covers of elliptic curvesJan 26 2017Feb 08 2017Let $C$ be a $4$-cover of an elliptic curve $E$, written as a quadric intersection in $\mathbb{P}^3$. Let $E'$ be another elliptic curve with $4$-torsion isomorphic to that of $E$. We show how to write down the $4$-cover $C'$ of $E'$ with the property ... More

Uncertainty Estimates in the Heston Model via Fisher InformationOct 15 2016We address the information content of European option prices about volatility in terms of the Fisher information matrix. We assume that observed option prices are centred on the theoretical price provided by Heston's model disturbed by additive Gaussian ... More

Pathwise description of dynamic pitchfork bifurcations with additive noiseAug 28 2000The slow drift (with speed $\eps$) of a parameter through a pitchfork bifurcation point, known as the dynamic pitchfork bifurcation, is characterized by a significant delay of the transition from the unstable to the stable state. We describe the effect ... More

Arithmetic aspects of the Burkhardt quartic threefoldMay 25 2017May 29 2018We show that the Burkhardt quartic threefold is rational over any field of characteristic distinct from 3. We compute its zeta function over finite fields. We realize one of its moduli interpretations explicitly by determining a model for the universal ... More

Median-Based Generation of Synthetic Speech Durations using a Non-Parametric ApproachAug 22 2016This paper proposes a new approach to duration modelling for statistical parametric speech synthesis in which a recurrent statistical model is trained to output a phone transition probability at each timestep (acoustic frame). Unlike conventional approaches ... More

Deep Encoder-Decoder Models for Unsupervised Learning of Controllable Speech SynthesisJul 30 2018Sep 09 2018Generating versatile and appropriate synthetic speech requires control over the output expression separate from the spoken text. Important non-textual speech variation is seldom annotated, in which case output control must be learned in an unsupervised ... More

Sheldon Spectrum and the Plankton Paradox: Two Sides of the Same Coin. A trait-based plankton size-spectrum modelJul 14 2016The Sheldon spectrum describes a remarkable regularity in aquatic ecosystems: the biomass density as a function of logarithmic body mass is approximately constant over many orders of magnitude. While size-spectrum models have explained this phenomenon ... More

A stability analysis of the power-law steady state of marine size spectraJan 21 2010Nov 25 2010This paper investigates the stability of the power-law steady state often observed in marine ecosystems. Three dynamical systems are considered, describing the abundance of organisms as a function of body mass and time: a "jump-growth" equation, a first ... More

Shock Formation in Small-Data Solutions to $3D$ Quasilinear Wave Equations: An OverviewJul 23 2014In his 2007 monograph, D. Christodoulou proved a remarkable result giving a detailed description of shock formation, for small $H^s$-initial conditions ($s$ sufficiently large), in solutions to the relativistic Euler equations in three space dimensions. ... More

On diffuse interface modeling and simulation of surfactants in two-phase fluid flowJun 30 2011Oct 05 2012An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically ... More

Stable shock formation for nearly simple outgoing plane symmetric wavesJan 06 2016Oct 03 2016In an influential 1964 article, P. Lax studied $2 \times 2$ genuinely nonlinear strictly hyperbolic PDE systems (in one spatial dimension). Using the method of Riemann invariants, he showed that a large set of smooth initial data lead to bounded solutions ... More

Nonexponential decay of a giant artificial atomDec 04 2018In quantum optics, light-matter interaction has conventionally been studied using small atoms interacting with electromagnetic fields with wavelength several orders of magnitude larger than the atomic dimensions. In contrast, here we experimentally demonstrate ... More

Linear characters of SL_2 over Dedekind domainsMay 19 2012For an important class of arithmetic Dedekind domains O including the ring of integers of not totally complex number fields, we describe explicitly the group of linear characters of SL_2(O). For this, we determine, for arbitrary Dedekind domains O, the ... More

SL(2,Z)-Invariant Spaces Spanned by Modular UnitsApr 03 1997Sep 02 2005Characters of rational vertex operator algebras (RVOAs) arising in 2-dimensional conformal field theories often belong (after suitable normalization) to the (multiplicative) semigroup E^+ of modular units whose Fourier expansions are in 1+q Z_{>=0}[[q]], ... More

Visualizing elements of Sha[3] in genus 2 jacobiansJan 29 2010Mazur proved that any element xi of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in the sense that xi lies in the kernel of the natural homomorphism between the cohomology ... More

Prym varieties of genus four curvesAug 23 2018May 02 2019Double covers of a generic genus four curve C are in bijection with Cayley cubics containing the canonical model of C. The Prym variety associated to a double cover is a quadratic twist of the Jacobian of a genus three curve X. The curve X can be obtained ... More

Coherent diffractive imaging of single helium nanodroplets with a high harmonic generation sourceOct 19 2016Mar 15 2017Coherent diffractive imaging of individual free nanoparticles has opened novel routes for the in-situ analysis of their transient structural, optical, and electronic properties. So far, single-shot single-particle diffraction was assumed to be feasible ... More

Probing the neutron star interior and the Equation of State of cold dense matter with the SKADec 30 2014With an average density higher than the nuclear density, neutron stars (NS) provide a unique test-ground for nuclear physics, quantum chromodynamics (QCD), and nuclear superfluidity. Determination of the fundamental interactions that govern matter under ... More

Dynamics of an Inverting Tippe TopJun 11 2013Feb 27 2014The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of inverting solutions has only been explored numerically and with the use of certain ... More

Dynamics of the Tippe Top -- properties of numerical solutions versus the dynamical equationsJun 24 2013We study the relationship between numerical solutions for inverting Tippe Top and the structure of the dynamical equations. The numerical solutions confirm oscillatory behaviour of the inclination angle $\theta(t)$ for the symmetry axis of the Tippe Top. ... More

The effect of classical noise on a quantum two-level systemMay 07 2008We consider a quantum two-level system perturbed by classical noise. The noise is implemented as a stationary diffusion process in the off-diagonal matrix elements of the Hamiltonian, representing a transverse magnetic field. We determine the invariant ... More

Models for dense multilane vehicular trafficDec 04 2018We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lane depends only on the density in the same lane. The model assumes that ... More

Maslov class rigidity for Lagrangian submanifolds via Hofer's geometryAug 10 2008In this work, we establish new rigidity results for the Maslov class of Lagrangian submanifolds in large classes of closed and convex symplectic manifolds. Our main result establishes upper bounds for the minimal Maslov number of displaceable Lagrangian ... More

Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction termsNov 29 2011We study in this paper the periodic homogenization problem related to a strongly nonlinear reaction-diffusion equation. Owing to the large reaction term, the homogenized equation has a rather quite different form which puts together both the reaction ... More

On gliding Lagrange top equations and their asymptotic behaviourJul 31 2014The dynamical equations for a gliding Lagrange top are not integrable. They have 5 dynamical variables and admit one integral of motion. We show that all solutions go to one of the two vertical spinning solutions and determine conditions of their stability. ... More

On Quantum Lie Algebras and Quantum Root SystemsJun 22 1995Feb 06 1996As a natural generalization of ordinary Lie algebras we introduce the concept of quantum Lie algebras ${\cal L}_q(g)$. We define these in terms of certain adjoint submodules of quantized enveloping algebras $U_q(g)$ endowed with a quantum Lie bracket ... More

An Efficient Two-Port Electron Beam Splitter via Quantum Interaction-Free MeasurementAug 09 2018Aug 14 2018Semi-transparent mirrors are standard elements in light optics for splitting light beams or creating two versions of the same image. Such mirrors do not exist in electron optics, although they could be beneficial in existing techniques such as electron ... More

Bridging the gap between nanowires and Josephson junctions: a superconducting device based on controlled fluxon transfer across nanowiresOct 22 2018The basis for superconducting electronics can broadly be divided between two technologies: the Josephson junction and the superconducting nanowire. While the Josephson junction (JJ) remains the dominant technology due to its high speed and low power dissipation, ... More

Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real lineJun 17 2005We give an elementary proof of the Paley-Wiener theorem for smooth functions for the Dunkl transforms on the real line, establish a similar theorem for L^2-functions and prove identities in the spirit of Bang for L^p-functions. The proofs seem to be new ... More

On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systemsOct 06 2018We show the existence of homoclinic type solutions of second order Hamiltonian systems with a potential satisfying a relaxed superquadratic growth condition and a forcing term that is sufficiently small in the space of square integrable functions. The ... More

Boundary clustered layers near the higher critical exponentsNov 11 2012We consider the supercritical problem {equation*} -\Delta u=|u| ^{p-2}u\text{\in}\Omega,\quad u=0\text{\on}\partial\Omega, {equation*} where $\Omega$ is a bounded smooth domain in $\mathbb{R}^{N}$ and $p$ smaller than the critical exponent $2_{N,k}^{\ast}:=\frac{2(N-k)}{N-k-2}$ ... More

Numerical computation of endomorphism ringsJul 07 2018Jun 12 2019We give practical numerical methods to compute the period matrix of a plane algebraic curve (not necessarily smooth). We show how automorphisms and isomorphisms of such curves, as well as the decomposition of their Jacobians up to isogeny, can be calculated ... More

Higher-order Airy scaling in deformed Dyck pathsJun 22 2016Dec 03 2016We introduce a deformed version of Dyck paths (DDP), where additional to the steps allowed for Dyck paths, 'jumps' orthogonal to the preferred direction of the path are permitted. We consider the generating function of DDP, weighted with respect to their ... More

Synthesis of Shared Control Protocols with Provable Safety and Performance GuaranteesOct 26 2016We formalize synthesis of shared control protocols with correctness guarantees for temporal logic specifications. More specifically, we introduce a modeling formalism in which both a human and an autonomy protocol can issue commands to a robot towards ... More

On inductively free Restrictions of Reflection ArrangementsOct 07 2013Jul 21 2014Let W be a finite complex reflection group acting on the complex vector space V and let A(W) = (A(W), V) be the associated reflection arrangement. In an earlier paper by the last two authros, we classified all inductively free reflection arrangements ... More

Stabilized Finite Element Method for the Radial Dirac EquationNov 27 2011Dec 12 2011A challenging difficulty in solving the radial Dirac eigenvalue problem numerically is the presence of spurious (unphysical) eigenvalues among the correct ones that are neither related to mathematical interpretations nor to physical explanations. Many ... More

A Relativistic Interpretation of Bias in Newtonian SimulationsOct 25 2018Feb 25 2019Observables of cosmic structures are usually not the underlying matter field but biased tracers of matter, such as galaxies or halos. We show how the bias found in Newtonian N-body simulations can be interpreted in terms of the weak-field limit of General ... More

The order $p^8$ mesonic chiral LagrangianOct 16 2018Jan 24 2019We derive the chiral Lagrangian at next-to-next-to-next-to-leading order (NNNLO) for a general number $N_f$ of light quark flavours as well as for $N_f=2,3$. We enumerate the contact terms separately. We also discuss the cases where some of the external ... More

An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension twoApr 19 2016Jan 21 2017We study spectral Galerkin approximations of an Allen--Cahn equation over the two-dimensional torus perturbed by weak space-time white noise of strength $\sqrt{\varepsilon}$. We introduce a Wick renormalisation of the equation in order to have a system ... More

Descent via (3,3)-isogeny on Jacobians of genus 2 curvesJan 03 2014We give parametrisation of curves C of genus 2 with a maximal isotropic (ZZ/3)^2 in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it can shown ... More

On Ladder Logic Bombs in Industrial Control SystemsFeb 17 2017In industrial control systems, devices such as Programmable Logic Controllers (PLCs) are commonly used to directly interact with sensors and actuators, and perform local automatic control. PLCs run software on two different layers: a) firmware (i.e. the ... More

Directed Chain Stochastic Differential EquationsMay 04 2018Oct 17 2018We consider large systems of interacting diffusions and their convergence, as the number of diffusions goes to infinity. Our limiting results contain two complementary scenarios, (i) a mean-field interaction where propagation of chaos takes place, and ... More

Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravityMay 01 2014Sep 11 2014The present work analyzes the various conditions in which there can be a bouncing universe solution in f(R) gravity. In the article an interesting method, to analyze the bouncing FRW solutions in a spatially flat universe using f(R) gravity models using ... More

Relativistic bias in neutrino cosmologiesDec 21 2018Halos and galaxies are tracers of the underlying dark matter structures. While their bias is well understood in the case of a simple Universe composed dominantly of dark matter, the relation becomes more complex in the presence of massive neutrinos. Indeed ... More

Semiglobal results for $\bar\partial$ on a complex space with arbitrary singularitiesJan 14 2004We obtain some $L^2$ results for the Cauchy-Riemann operator on forms that vanish to high order near the singular set of a complex space.

Designing Interactions with Furniture: Towards Multi-Sensorial Interaction Design Processes for Interactive FurnitureMar 03 2018In this paper, we argue for novel user experience design methods, in the context of reimagining ergonomics of interactive furniture.

The Maslov Index and the Spectral Flow - revisitedAug 25 2018We give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of selfadjoint first-order operators. We particularly pay ... More

Decoding of neural data using cohomological feature extractionNov 20 2017Sep 10 2018We introduce a novel data-driven approach to discover and decode features in the neural code coming from large population neural recordings with minimal assumptions, using cohomological feature extraction. We apply our approach to neural recordings of ... More

Bayesian Active Learning for Collaborative Task Specification Using Equivalence RegionsJan 28 2019Specifying complex task behaviours while ensuring good robot performance may be difficult for untrained users. We study a framework for users to specify rules for acceptable behaviour in a shared environment such as industrial facilities. As non-expert ... More

From Simulation to Real-World Robotic Mobile Fulfillment SystemsOct 08 2018In a new type of automated parts-to-picker warehouse system - a Robotic Mobile Fulfillment System (RMFS) - robots are sent to transport pods (movable shelves) to human operators at stations to pick/put items from/to pods. There are many operational decision ... More

Numerical computation of endomorphism ringsJul 07 2018We give practical numerical methods to compute the period matrix of a plane algebraic curve (not necessarily smooth). We show how automorphisms and isomorphisms of such curves, as well as the decomposition of their Jacobians up to isogeny, can be calculated ... More

Real Paley-Wiener theorems and local spectral radius formulasApr 18 2008May 29 2009We systematically develop real Paley-Wiener theory for the Fourier transform on R^d for Schwartz functions, L^p-functions and distributions, in an elementary treatment based on the inversion theorem. As an application, we show how versions of classical ... More

Solving the $d$ and $\bar\partial$-equation in thin tubes and applications to mappingsMar 24 2000Jan 06 2006We construct a family of integral kernels for solving the \bar\partial equation with C^k and Holder estimates in thin tubes around totally real submanifolds in complex Eulidean spaces (theorems 1.1 and 3.1). Combining this with the proof of a theorem ... More

Probing the neutron skin thickness in collective modes of excitationJan 13 2014Nuclear collective motion provides valuable constraint on the size of neutron-skin thickness and the properties of nuclear matter symmetry energy. By employing relativistic nuclear energy density functional (RNEDF) and covariance analysis related to $\chi^2$ ... More

Bidifferential calculus, matrix SIT and sine-Gordon equationsNov 08 2010We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a general result that generates exact solutions from solutions ... More

Generalized explicit descent and its application to curves of genus 3May 20 2012Dec 11 2013We introduce a common generalization of essentially all known methods for explicit computation of Selmer groups, which are used to bound the ranks of abelian varieties over global fields. We also simplify and extend the proofs relating what is computed ... More

Fusion of Object Tracking and Dynamic Occupancy Grid MapApr 18 2019Environment modeling in autonomous driving is realized by two fundamental approaches, grid-based and feature-based approach. Both methods interpret the environment differently and show some situation-dependent beneficial realizations. In order to use ... More

Discrepancy of Symmetric Products of HypergraphsApr 20 2006For a hypergraph ${\mathcal H} = (V,{\mathcal E})$, its $d$--fold symmetric product is $\Delta^d {\mathcal H} = (V^d,\{E^d |E \in {\mathcal E}\})$. We give several upper and lower bounds for the $c$-color discrepancy of such products. In particular, we ... More

Local dissipation limits the dynamics of impacting droplets on smooth and rough substratesNov 15 2016A droplet that impacts onto a solid substrate deforms in a complex dynamics. To extract the principal mechanisms that dominate this dynamics we deploy numerical simulations based on the phase field method. Direct comparison with experiments suggests that ... More

Universality in dynamic wetting dominated by contact line frictionNov 04 2011Mar 14 2012We report experiments on the rapid contact line motion present in the early stages of capillary driven spreading of drops on dry solid substrates. The spreading data fails to follow a conventional viscous or inertial scaling. By integrating experiments ... More

The intimate relation between the low T/W instability and the co-rotation pointSep 02 2014We study the low T/W instability associated with the f-mode of differentially rotating stars. Our stellar models are described by a polytropic equation of state and the rotation profile is given by the standard j-constant law. The properties of the relevant ... More

Jitter Characterization of a Dual-Readout SNSPDNov 05 2018Jan 18 2019To better understand the origins of the timing resolution, also known as jitter, of superconducting nanowire single-photon detectors (SNSPDs), we have performed timing characterizations of a niobium nitride SNSPD with a dual-ended readout. By simultaneously ... More

On formal groups and Tate cohomology in local fieldsDec 14 2016Let $L/K$ be a Galois extension of local fields of characteristic $0$ with Galois group $G$. If $\mathcal{F}$ is a formal group over the ring of integers in $K$, one can associate to $\mathcal F$ and each positive integer $n$ a $G$-module $F_L^n$ which ... More

Antiresonance-Like Behavior in Carrier-Envelope-Phase-Sensitive Optical-Field Photoemission from Plasmonic NanoantennasOct 17 2018Given the quasi-static nature of optical-field emission and the nontrivial dependence of the emission rate on the instantaneous electric field strength, the CEP-sensitive component of the emitted photocurrent is highly sensitive to the energy of the optical ... More

Extending the scope of empirical likelihoodApr 20 2009This article extends the scope of empirical likelihood methodology in three directions: to allow for plug-in estimates of nuisance parameters in estimating equations, slower than $\sqrt{n}$-rates of convergence, and settings in which there are a relatively ... More

LWS spectroscopy of the luminous Blue Compact Galaxy Haro 11May 08 2000We present far infrared (FIR) spectroscopy of the luminous blue compact galaxy (BCG) Haro 11 (ESO 350-IG38) obtained with the ISO Long Wavelength Spectrometer (LWS) in low resolution mode. This metal poor dwarf merger is an extremely hot IRAS source with ... More

$π$-Radical Formation by Pyrrolic H Abstraction of Phthalocyanine Molecules on Molybdenum DisulfideMay 31 2019For a molecular radical to be stable, the environment needs to be inert. Furthermore, an unpaired electron is less likely to react chemically, when it is placed in an extended orbital. Here, we use the tip of a scanning tunneling microscope to abstract ... More