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Entailment Relations on DistributionsAug 04 2016In this paper we give an overview of partial orders on the space of probability distributions that carry a notion of information content and serve as a generalisation of the Bayesian order given in (Coecke and Martin, 2011). We investigate what constraints ... More

PyZX: Large Scale Automated Diagrammatic ReasoningApr 09 2019The ZX-calculus is a graphical language for reasoning about ZX-diagrams, a tensor network-like language that can represent arbitrary linear maps between qubits. Using the ZX-calculus, we can intuitively reason about quantum mechanics, and optimise and ... More

Reducing T-count with the ZX-calculusMar 25 2019Reducing the number of non-Clifford quantum gates present in a circuit is an important task for efficiently implementing quantum computations, especially in the fault-tolerant regime. We present a new method for reducing the number of T-gates in a quantum ... More

Reducing T-count with the ZX-calculusMar 25 2019Mar 27 2019Reducing the number of non-Clifford quantum gates present in a circuit is an important task for efficiently implementing quantum computations, especially in the fault-tolerant regime. We present a new method for reducing the number of T-gates in a quantum ... More

Completeness of the Phase-free ZH-calculusApr 16 2019The ZH-calculus is a graphical calculus for linear maps between qubits that allows a natural representation of the Toffoli+Hadamard gate set. The original version of the calculus, which allows every generator to be labelled by an arbitrary complex number, ... More

Graph-theoretic Simplification of Quantum Circuits with the ZX-calculusFeb 08 2019Apr 29 2019We present a completely new approach to quantum circuit optimisation, based on the ZX-calculus. We first interpret quantum circuits as ZX-diagrams, which provide a flexible, lower-level language for describing quantum computations graphically. Then, using ... More

Graph-theoretic Simplification of Quantum Circuits with the ZX-calculusFeb 08 2019Feb 26 2019We present the theoretical foundations for a new quantum circuit optimisation technique based on an equational theory called the ZX-calculus. We first interpret quantum circuits as ZX-diagrams, which provide a flexible, lower-level language for describing ... More

Pure Maps between Euclidean Jordan AlgebrasMay 29 2018Jan 29 2019We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this definition of purity is closed under composition and taking adjoints and thus ... More

Graph-theoretic Simplification of Quantum Circuits with the ZX-calculusFeb 08 2019We present a new circuit-to-circuit optimisation routine based on an equational theory called the ZX-calculus. We first interpret quantum circuits as ZX-diagrams, a flexible, lower-level language for describing quantum computations graphically. Then, ... More

Graphical Fourier Theory and the Cost of Quantum AdditionApr 16 2019The ZX-calculus is a convenient formalism for expressing and reasoning about quantum circuits at a low level, whereas the recently-proposed ZH-calculus yields convenient expressions of mid-level quantum gates such as Toffoli and CCZ. In this paper, we ... More

Toward a fitness landscape model of firms' IT-enabled dynamic capabilitiesMar 11 2019This chapter presents, extends and integrates a complexity science perspective and applies this to IT-enabled dynamic capabilities (ITDCs) of firms. By doing so, this chapter leverages statistical survey data and uses them as parameters for a simulation ... More

Probing photo-ionization: Experiments on positive streamers in pure gasses and mixturesDec 04 2009Feb 08 2010Positive streamers are thought to propagate by photo-ionization whose parameters depend on the nitrogen:oxygen ratio. Therefore we study streamers in nitrogen with 20%, 0.2% and 0.01% oxygen and in pure nitrogen, as well as in pure oxygen and argon. Our ... More

Spatial Mapping of Local Density Variations in Two-dimensional Electron Systems Using Scanning PhotoluminescenceMar 27 2019We have developed a scanning photoluminescence technique that can directly map out the local two-dimensional electron density with a relative accuracy of $\sim2.2\times10^8$ cm$^{-2}$. The validity of this approach is confirmed by the observation of the ... More

Rank-metric codes, linear sets, and their dualityJun 15 2018In this paper we investigate connections between linear sets and subspaces of linear maps. We give a geometric interpretation of the results of [18, Section 5] on linear sets on a projective line. We extend this to linear sets in arbitrary dimension, ... More

Subgeometries in the André/Bruck-Bose representationSep 22 2014We consider the Andr\'e/Bruck-Bose representation of the projective plane $\mathrm{PG}(2,q^n)$ in $\mathrm{PG}(2n,q)$. We investigate the representation of $\mathbb{F}_{q^k}$-sublines and $\mathbb{F}_{q^k}$-subplanes of $\mathrm{PG}(2,q^n)$, extending ... More

Spontaneous symmetry breaking of (1+1)-dimensional $\bf φ^4$ theory in light-front field theory (III)Sep 03 1994We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken phases and ... More

First-Principles Calculations of Luminescence Spectrum Line Shapes for Defects in Semiconductors: The Example of GaN and ZnOMar 12 2013We present a theoretical study of broadening of defect luminescence bands due to vibronic coupling. Numerical proof is provided for the commonly used assumption that a multi-dimensional vibrational problem can be mapped onto an effective one-dimensional ... More

A generalization of Jaynes' principle: an information-theoretic interpretation of the minimum principles of quantum mechanics and gravitationJan 18 2000By considering the "kinetic-energy" term of the minimum principle for the Schr\"{o}dinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure, analogous to the manner in which Jaynes ({\it Phys. ... More

The Boltzmann/Shannon entropy as a measure of correlationJan 17 2000IIt is demonstrated that the entropy of statistical mechanics and of information theory, $S({\bf p}) = -\sum p_i \log p_i $ may be viewed as a measure of correlation. Given a probability distribution on two discrete variables, $p_{ij}$, we define the ... More

Non-linear connections on phase space and the Lorentz force lawJan 26 2000The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces the geodesic equation of General Relativity and the term ... More

Role of excited states in Shockley-Read-Hall recombination in wide-band-gap semiconductorsMay 18 2016Defect-assisted recombination is an important limitation on efficiency of optoelectronic devices. However, since nonradiative capture rates decrease exponentially with energy of the transition, the mechanisms by which such recombination can take place ... More

Nonlinear Dynamics of Preheating after Multifield Inflation with Nonminimal CouplingsMay 29 2019We study the post-inflation dynamics of multifield models involving nonminimal couplings using lattice simulations to capture significant nonlinear effects like backreaction and rescattering. By investigating the late-stage nonlinear dynamics, we measure ... More

H$α$ Imaging spectroscopy of Balmer-dominated shocks in Tycho's supernova remnantSep 12 2016We present Fabry-P\'erot interferometric observations of the narrow H$\alpha$ component in the shock front of the historical supernova remnant Tycho (SN 1572). Using GH$\alpha$FaS (Galaxy H$\alpha$ Fabry-P\'erot Spectrometer) on the William Herschel Telescope, ... More

Clean and As-covered zinc-blende GaN (001) surfaces: Novel surface structures and surfactant behaviorMay 13 1997Mar 31 1998We have investigated clean and As-covered zinc-blende GaN (001) surfaces, employing first-principles total-energy calculations. For clean GaN surfaces our results reveal a novel surface structure very different from the well-established dimer structures ... More

A Graph Signal Processing View on Functional Brain ImagingSep 29 2017Jan 29 2018Modern neuroimaging techniques provide us with unique views on brain structure and function; i.e., how the brain is wired, and where and when activity takes place. Data acquired using these techniques can be analyzed in terms of its network structure ... More

Rapid detection of coherent tunneling in an InAs nanowire quantum dot through dispersive gate sensingDec 20 2018Dispersive sensing is a powerful technique that enables scalable and high-fidelity readout of solid-state quantum bits. In particular, gate-based dispersive sensing has been proposed as the readout mechanism for future topological qubits, which can be ... More

A new and coherent interstitial-ice model for pure water part I: explaining the dielectric and conductivity propertiesJul 29 2019The electric behaviour of pure water is described by a new interstitial-ice model assuming that liquid water consists of an intact ice-like lattice. A significant percentage of the lattice positions is vacant (almost 4% at 0{\deg}C rising to 15% at 90{\deg}C). ... More

A new and coherent interstitial-ice model for pure water part II: explaining the conflicting Hall dataJul 30 2019In part I of this paper the electric behaviour of pure water is described by an interstitial-ice model, the so-called Protonic-Semiconductor Interstitial-Ice or PSII model. Liquid water consists of an intact ice-like lattice with a significant percentage ... More

An Integral View of Fast Shocks around Supernova 1006Feb 18 2013Jan 26 2015Supernova remnants are among the most spectacular examples of astrophysical pistons in our cosmic neighborhood. The gas expelled by the supernova explosion is launched with velocities ~ 1000 km/s into the ambient, tenuous interstellar medium, producing ... More

Revealing charge-tunneling processes between a quantum dot and a superconducting island through gate sensingMar 21 2019We report the detection and identification of charge-tunneling processes between a quantum dot and a superconducting island through radio-frequency gate sensing. We are able to resolve spin-dependent quasiparticle tunneling as well as two-particle tunneling ... More

Self-force corrections to the periapsis advance around a spinning black holeOct 11 2016The linear in mass ratio correction to the periapsis advance of equatorial orbits around a spinning black hole is calculated for the first time and to very high precision, providing a key benchmark for different approaches modelling spinning binaries. ... More

Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated ToolkitJun 08 2009A number of new functionalities have been added to the Alloy Theoretic Automated Toolkit (ATAT) since it was last reviewed in this journal in 2002. ATAT can now handle multicomponent multisublattice alloy systems, nonconfigurational sources of entropy ... More

Gravitational self-force on eccentric equatorial orbits around a Kerr black holeJun 20 2016Aug 17 2016This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's equations ... More

Galaxy growth from redshift 5 to 0 at fixed comoving number densityJul 06 2016Studying the average properties of galaxies at a fixed comoving number density over a wide redshift range has become a popular observational method, because it may trace the evolution of galaxies statistically. We test this method by comparing the evolution ... More

The Geometry of Massless Cosmic StringsNov 19 2012Jan 29 2013We study the geometry generated by a massless cosmic string. We find that this is given by a Riemann flat spacetime with a conical singularity along the worldsheet of the string. The geometry of such a spacetime is completely fixed by the holonomy of ... More

Piecewise Flat Gravitational WavesDec 09 2010Feb 22 2011We examine the continuum limit of the piecewise flat locally finite gravity model introduced by 't Hooft. In the linear weak field limit we find the energy--momentum tensor and metric perturbation of an arbitrary configuration of defects. The energy--momentum ... More

The Effect of Galactic Feedback on Gas Accretion and Wind RecyclingDec 02 2016In the absence of galactic winds, the rate at which gas accretes onto galaxies is determined by the gravitational potential and by radiative cooling. However, outflows driven by supernovae and active galactic nuclei not only eject gas from galaxies, but ... More

Voids and the Cosmic Web: cosmic depressions & spatial complexityNov 03 2016Nov 13 2016Voids form a prominent aspect of the Megaparsec distribution of galaxies and matter. Not only do they represent a key constituent of the Cosmic Web, they also are one of the cleanest probes and measures of global cosmological parameters. The shape and ... More

Noncanonical number systems in the integersApr 14 2008The well known binary and decimal representations of the integers, and other similar number systems, admit many generalisations. Here, we investigate whether still every integer could have a finite expansion on a given integer base b, when we choose a ... More

Consciousness is Pattern RecognitionMay 04 2016Jun 28 2016This is a proof of the strong AI hypothesis, i.e. that machines can be conscious. It is a phenomenological proof that pattern-recognition and subjective consciousness are the same activity in different terms. Therefore, it proves that essential subjective ... More

Generic chaining and the l1-penaltyMay 16 2012We address the choice of the tuning parameter $\lambda$ in $\ell_1$-penalized M-estimation. Our main concern is models which are highly nonlinear, such as the Gaussian mixture model. The number of parameters $p$ is moreover large, possibly larger than ... More

KdV type hierarchies, the string equation and $W_{1+\infty}$ constraintsMar 15 1994May 17 1994To every partition $n=n_1+n_2+\cdots+n_s$ one can associate a vertex operator realization of the Lie algebras $a_{\infty}$ and $\hat{gl}_n$. Using this construction we make reductions of the $s$--component KP hierarchy, reductions which are related to ... More

Some exercises with the Lasso and its compatibility constantJan 12 2017We consider the Lasso for a noiseless experiment where one has observations $X \beta^0$ and uses the penalized version of basis pursuit. We compute for some special designs the compatibility constant, a quantity closely related to the restricted eigenvalue. ... More

Weakly decomposable regularization penalties and structured sparsityApr 21 2012Dec 10 2012It has been shown in literature that the Lasso estimator, or l1-penalized least squares estimator, enjoys good oracle properties. This paper examines which special properties of the l1-penalty allow for sharp oracle results, and then extends the situation ... More

A low upper mass limit for the central black hole in the late-type galaxy NGC 4414Oct 13 2016Oct 24 2016We present our mass estimate of the central black hole in the isolated spiral galaxy NGC 4414. Using natural guide star adaptive optics assisted observations with the Gemini Near-Infrared Integral Field Spectrometer (NIFS) and the natural seeing Gemini ... More

Singular perturbation of quantum stochastic differential equations with coupling through an oscillator modeSep 06 2006We consider a physical system which is coupled indirectly to a Markovian resevoir through an oscillator mode. This is the case, for example, in the usual model of an atomic sample in a leaky optical cavity which is ubiquitous in quantum optics. In the ... More

An active, asynchronous companion to a redback millisecond pulsarSep 26 2016PSR\,J1723$-$2837 is a "redback" millisecond pulsar (MSP) with a low-mass companion in a 14.8\,h orbit. The system's properties closely resemble those of "transitional" MSPs that alternate between spin-down and accretion-powered states. In this paper ... More

System-of-Systems Viewpoint for System Architecture DocumentationJan 21 2018Context: The systems comprising a system of systems (SoS) are inde- pendently acquired, operated, and managed. Frequently, the architecture documentation of these existing systems addresses only a stand-alone perspective, and must be augmented to address ... More

Twisted GL_n Loop Group Orbit and Solutions of the WDVV EquationsApr 12 2000Apr 13 2000We show that all (n-component) KP tau-functions, which are related to the twisted loop group of $GL_n$, give solutions of the Darboux-Egoroff system of PDE's. Using the Geometry of the Grassmannian we construct from the corresponding wave function the ... More

The Adler-Shiota-van Moerbeke formula for the BKP hierarchyNov 22 1994We study the BKP hierarchy and prove the existence of an Adler--Shiota--van Moerbeke formula. This formula relates the action of the $BW_{1+\infty}$--algebra on tau--functions to the action of the ``additional symmetries'' on wave functions.

The $n$--TH Reduced BKP Hierarchy, the String Equation and $BW_{1+\infty}$--ConstraintsNov 10 1994We study the BKP hierarchy and its $n$--reduction, for the case that $n$ is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra $\hat{sl}_n^{(2)}$. We show that the following two statements for a BKP ... More

The $W_{1+\infty}(gl_s)$--symmetries of the $S$--component KP hierarchyNov 10 1994Adler, Shiota and van Moerbeke obtained for the KP and Toda lattice hierarchies a formula which translates the action of the vertex operator on tau--functions to an action of a vertex operator of pseudo-differential operators on wave functions. This relates ... More

Matrix integrals and the geometry of spinorsSep 29 1999Apr 01 2001We obtain the collection of symmetric and symplectic matrix integrals and the collection of Pfaffian tau-functions, recently described by Peng and Adler and van Moerbeke, as specific elements in the Spin-group orbit of the vacuum vector of a fermionic ... More

Conditions for Sustained Orbital Resonances in Extreme Mass Ratio InspiralsNov 18 2013May 09 2014We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving in Kerr spacetime with self-force corrections in the ... More

On Gravity, Holography and the QuantumJan 17 2000Jan 20 2000The holographic principle states that the number of degrees of freedom describing the physics inside a volume (including gravity) is bounded by the area of the boundary (also called the screen) which encloses this volume. A stronger statement is that ... More

Cosmic String Network Evolution in arbitrary Friedmann-Lemaitre modelsMay 26 1997We use the velocity-dependent one-scale model by Martins & Shellard to investigate the evolution of a GUT long cosmic string network in arbitrary Friedmann-Lemaitre models. Four representative models are used to show that in general there is no scaling ... More

The (n,1)-Reduced DKP Hierarchy, the String Equation and W ConstraintsJun 13 2013Jan 15 2014The total descendent potential of a simple singularity satisfies the Kac-Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a highest weight vector for the corresponding W-algebra. This was used by Liu, Yang and Zhang to ... More

Studies Supporting PMT Characterization for the IceCube Collaboration: Precise Photodiode CalibrationNov 07 2015A laboratory set-up has been developed to more precisely measure the DOM optical sensitivity as a function of angle and wavelength. DOMs are calibrated in water using a broad beam of light whose intensity is measured with a NIST calibrated photodiode. ... More

Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetimeJun 12 2019We provide analytical closed form solutions for the parallel transport along a bound geodesic in Kerr spacetime. This can be considered the lowest order approximation for the motion a spinning black hole in an extreme mass-ratio inspiral. As an illustration ... More

On the uniform convergence of empirical norms and inner products, with application to causal inferenceOct 21 2013Uniform convergence of empirical norms - empirical measures of squared functions - is a topic which has received considerable attention in the literature on empirical processes. The results are relevant as empirical norms occur due to symmetrization. ... More

On tight bounds for the LassoApr 03 2018We present upper and lower bounds for the prediction error of the Lasso. For the case of random Gaussian design, we show that under mild conditions the prediction error of the Lasso is up to smaller order terms dominated by the prediction error of its ... More

Defect identification based on first-principles calculations for deep level transient spectroscopyOct 12 2018Deep level transient spectroscopy (DLTS) is used extensively to study defects in semiconductors. We demonstrate that great care should be exercised in interpreting activation energies extracted from DLTS as ionization energies. We show how first-principles ... More

A Slow-Growing Sequence Defined by an Unusual RecurrenceFeb 22 2006The sequence starts with a(1) = 1; to extend it one writes the sequence so far as XY^k, where X and Y are strings of integers, Y is nonempty and k is as large as possible: then the next term is k. The sequence begins 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, ... More

Bose polarons in the strongly interacting regimeMay 03 2016When an impurity is immersed in a Bose-Einstein condensate, impurity-boson interactions are expected to dress the impurity into a quasiparticle, the Bose polaron. We superimpose an ultracold atomic gas of $^{87}$Rb with a much lower density gas of fermionic ... More

Early stages of ramified growth in quasi-two-dimensional electrochemical depositionDec 22 1995I have measured the early stages of the growth of branched metal aggregates formed by electrochemical deposition in very thin layers. The growth rate of spatial Fourier modes is described qualitatively by the results of a linear stability analysis [D.P. ... More

Revealing charge-tunneling processes between a quantum dot and a superconducting island through gate sensingMar 21 2019Aug 12 2019We report direct detection of charge-tunneling between a quantum dot and a superconducting island through radio-frequency gate sensing. We are able to resolve spin-dependent quasiparticle tunneling as well as two-particle tunneling involving Cooper pairs. ... More

LOFAR: Early imaging results from commissioning for Cygnus AJun 06 2011The Low Frequency Array (LOFAR) will operate between 10 and 250 MHz, and will observe the low frequency Universe to an unprecedented sensitivity and angular resolution. The construction and commissioning of LOFAR is well underway, with over 27 of the ... More

Piecewise Flat Gravity in 3+1 dimensionsNov 28 2011We study a model for gravity in 3+1 dimensions, inspired in general relativity in 2+1 dimensions. In contrast regular general relativity in 3+1 dimensions, the model postulates that space in absence of matter is flat. The requirement that the Einstein ... More

Exact Piecewise Flat Gravitational WavesJun 27 2011Nov 20 2011We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly how to construct ... More

Resonantly enhanced kicks from equatorial small mass-ratio inspiralsJun 10 2014Aug 19 2014We calculate the kick generated by an eccentric black hole binary inspiral as it evolves through a resonant orbital configuration where the precession of the system temporarily halts. As a result, the effects of the asymmetric emission of gravitational ... More

The Peculiar-Velocity-Field in Structure Formation Theories with Cosmic StringsOct 29 1997We investigate the peculiar velocity field due to long cosmic strings in several cosmological models and analyse the influence of a nonscaling behaviour of the string network, which is expected in open cosmological models or models with a cosmological ... More

Steering Macro-Scale Network Community Structure by Micro-Scale FeaturesMar 17 2016Network science plays an increasingly important role to model complex data in many scientific disciplines. One notable feature of network organization is community structure, which refers to clusters of tightly interconnected nodes. A prominent problem ... More

The $[n_1,n_2,\ldots,n_s]$--th reduced KP hierarchy and $W_{1+\infty}$ constraintsNov 10 1994To every partition $n=n_1+n_2+\cdots+n_s$ one can associate a vertex operator realization of the Lie algebras $a_{\infty}$ and $\hat{gl}_n$. Using this construction we obtain reductions of the $s$--component KP hierarchy, reductions which are related ... More

Voids and the Cosmic Web: cosmic depressions & spatial complexityNov 03 2016Voids form a prominent aspect of the Megaparsec distribution of galaxies and matter. Not only do they represent a key constituent of the Cosmic Web, they also are one of the cleanest probes and measures of global cosmological parameters. The shape and ... More

Discussion of ``2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization'' by V. KoltchinskiiAug 01 2007Discussion of ``2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization'' by V. Koltchinskii [arXiv:0708.0083]

Statistical Theory for High-Dimensional ModelsSep 30 2014These lecture notes consist of three chapters. In the first chapter we present oracle inequalities for the prediction error of the Lasso and square-root Lasso and briefly describe the scaled Lasso. In the second chapter we establish asymptotic linearity ... More

Phase properties of exponentially-fitted symmetric multistep methods for y''=f(x,y)Nov 26 2006A convenient tool to obtain numerical methods specially tuned on oscillating functions is exponential fitting. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical phenomena exhibit a pronounced ... More

Balmer-dominated shocks in Tycho's SNR: omnipresence of CRsJul 27 2017Aug 23 2017We present wide-field, spatially and highly resolved spectroscopic observations of Balmer filaments in the northeastern rim of Tycho's supernova remnant in order to investigate the signal of cosmic-ray (CR) acceleration. The spectra of Balmer-dominated ... More

Collisions in piecewise flat gravity in 3+1 dimensionsFeb 19 2010We consider the (3+1)-dimensional locally finite gravity model proposed by 't Hooft. In particular we revisit the problem of resolving collisions of string defects. We provide a new geometric description of the configurations of strings using piecewise ... More

Cosmic Strings and Structure FormationOct 26 1998We discuss structure formation in cosmic string theories. Emphasis is laid on the properties of the peculiar velocity field, non-gaussian features and clusters of galaxies. It is found that the predicted peculiar velocity field is quiet ($v<150$ km/s ... More

Twisted Toroidal Lie AlgebrasJun 14 2001Using $n$ finite order automorphisms on a simple complex Lie algebra we construct twisted $n$-toroidal Lie algebras. Thus obtaining Lie algebras wich have a rootspace decomposition. For the case $n=2$ we list certain simple Lie algebras and their automorphisms, ... More

The vector k-constrained KP hierarchy and Sato's GrassmannianAug 30 1996We use the representation theory of the infinite matrix group to show that (in the polynomial case) the $n$--vector $k$--constrained KP hierarchy has a natural geometrical interpretation on Sato's infinite Grassmannian. This description generalizes the ... More

Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordström exterior space-timeApr 12 2018Apr 25 2018We consider the Cauchy problem for the (non-linear) Maxwell-Charged-Scalar-Field equations with spherically symmetric initial data, on a fixed sub-extremal Reissner-Nordstr\"{o}m exterior space-time. We prove that the solutions are bounded and decay at ... More

Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetryApr 19 2017Nov 17 2017We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged scalar field, ... More

Shuffled equi-n-squaresJan 09 2017A formal n-square is the set of positions in an square matrix of size n. A shuffle of a formal n-square consists of independent rotations of each row and of each column. A key result turns out to be valid at least for n <= 34 and n = 37: Each set of n ... More

On the efficiency of the de-biased LassoAug 26 2017Aug 21 2018We consider the high-dimensional linear regression model $Y = X \beta^0 + \epsilon$ with Gaussian noise $\epsilon$ and Gaussian random design $X$. We assume that $\Sigma:= E X^T X / n$ is non-singular and write its inverse as $\Theta := \Sigma^{-1}$. ... More

Worst possible sub-directions in high-dimensional modelsMar 27 2014We examine the rate of convergence of the Lasso estimator of lower dimensional components of the high-dimensional parameter. Under bounds on the $\ell_1$-norm on the worst possible sub-direction these rates are of order $\sqrt {|J| \log p / n }$ where ... More

Reflection and transmission at dimensional boundariesAug 16 2006An inhomogeneous Kaluza-Klein compactification of a higher dimensional spacetime may give rise to an effective 4d spacetime with distinct domains having different sizes of the extra dimensions. The domains are separated by domain walls generated by the ... More

The Arab Spring: A Simple Compartmental Model for the Dynamics of a RevolutionOct 05 2012The self-immolation of Mohamed Bouazizi on December 17, 2011 in the small Tunisian city of Sidi Bouzid, set off a sequence of events culminating in the revolutions of the Arab Spring. It is widely believed that the Internet and social media played a critical ... More

A low upper mass limit for the central black hole in the late-type galaxy NGC 4414Oct 13 2016We present our mass estimate of the central black hole in the isolated spiral galaxy NGC 4414. Using natural guide star adaptive optics assisted observations with the Gemini Near-Infrared Integral Field Spectrometer (NIFS) and the natural seeing Gemini ... More

A new lower bound for the size of an affine blocking setApr 25 2018A blocking set in an affine plane is a set of points $B$ such that every line contains at least one point of $B$. The best known lower bound for blocking sets in arbitrary (non-desarguesian) affine planes was derived in the 1980's by Bruen and Silverman. ... More

A discrete realization of the higher rank Racah algebraAug 21 2018May 06 2019In previous work a higher rank generalization $R(n)$ of the Racah algebra was defined abstractly. The special case of rank one encodes the bispectrality of the univariate Racah polynomials and is known to admit an explicit realization in terms of the ... More

An Integral View of Balmer-dominated Shocks in Supernova RemnantsJul 30 2013We present integral-field spectroscopic observations with the VIMOS-IFU at the VLT of fast (2000-3000 km/s) Balmer-dominated shocks surrounding the northwestern rim of the remnant of supernova 1006. The high spatial and spectral resolution of the instrument ... More

A Probabilistic Modeling Approach to Hearing Loss CompensationFeb 03 2016Sep 06 2016Hearing Aid (HA) algorithms need to be tuned ("fitted") to match the impairment of each specific patient. The lack of a fundamental HA fitting theory is a strong contributing factor to an unsatisfying sound experience for about 20% of hearing aid patients. ... More

A discrete realization of the higher rank Racah algebraAug 21 2018In previous work a higher rank generalization $R(n)$ of the Racah algebra was defined abstractly. The special case of rank one encodes the bispectrality of the univariate Racah polynomials and is known to admit an explicit realization in terms of the ... More

Balmer filaments in Tycho's supernova remnant: an interplay between cosmic-ray and broad-neutral precursorsAug 04 2017Aug 23 2017We present H$\alpha$ spectroscopic observations and detailed modelling of the Balmer filaments in the supernova remnant Tycho. We used Galaxy H$\alpha$ Fabry-P\'erot Spectrometer on the William Herschel Telescope with a 3.4'$\times$3.4' field-of-view, ... More

The Third Stromlo Symposium - The Galactic Halo: Bright Stars and Dark MatterJan 29 1999This summary discribes the highlights of the Third Stromlo Symposium, on the nature of the stellar, gaseous, and dark components of the Galactic Halo.

High-dimensional generalized linear models and the lassoApr 04 2008We consider high-dimensional generalized linear models with Lipschitz loss functions, and prove a nonasymptotic oracle inequality for the empirical risk minimizer with Lasso penalty. The penalty is based on the coefficients in the linear predictor, after ... More

Number systems and the Chinese Remainder TheoremJun 21 2011A well-known generalisation of positional numeration systems is the case where the base is the residue class of $x$ modulo a given polynomial $f(x)$ with coefficients in (for example) the integers, and where we try to construct finite expansions for all ... More

Automorphisms of categories of schemesJun 03 2019Given two schemes $S$ and $S'$, we prove that every equivalence between $\mathbf{Sch}_S$ and $\mathbf{Sch}_{S'}$ comes from a unique isomorphism between $S$ and $S'$. This eliminates all Noetherian and finite type hypotheses from a result of Mochizuki ... More