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Very High Energy gamma-ray emission from RBS 0970Apr 14 2014In this letter I report the Fermi Large Area Telescope (LAT) detection of Very High Energy (VHE; E>100 GeV) gamma-ray emission from the BL Lac object RBS 0970. 5.3 years of LAT observations revealed the presence of 3 VHE photon events within 0.1 degrees ... More

On the 2-linearity of the free groupJun 21 2016We construct an action of the free group $F_n$ on the homotopy category of projective modules over a finite dimensional zigzag algebra. The main theorem in the paper is that this action is faithful. We describe the relationship between homotopy classes ... More

Locating the gamma-ray emission region of the flat spectrum radio quasar PKS 1510-089Jan 31 2013I present a study of the high-energy gamma-ray properties of the flat spectrum radio quasar, PKS 1510-089, based on 3.75 years of observations with the Large Area Telescope (LAT) detector on-board the Fermi gamma-ray Space Telescope. Throughout the observing ... More

Transformation Electromagnetics Devices Based on Printed-Circuit Tensor Impedance SurfacesJul 12 2013A method for designing transformation electromagnetics devices using tensor impedance surfaces (TISs) is presented. The method is first applied to idealized tensor impedance boundary conditions (TIBCs), and later to printed-circuit tensor impedance surfaces ... More

A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath productsSep 18 2013We prove a Littlewood-Richardson type formula for $(s_{\lambda/\mu},s_{\nu/\kappa})_{t^k,t}$, the pairing of two skew Schur functions in the MacDonald inner product at $q = t^k$ for positive integers $k$. This pairing counts graded decomposition numbers ... More

High energy gamma-ray properties of the FR I radio galaxy NGC 1275Jan 13 2011We report on our study of the high-energy $\gamma-$ray emission from the FR I radio galaxy NGC 1275, based on two years of observations with the Fermi-LAT detector. Previous Fermi studies of NGC 1275 had found evidence for spectral and flux variability ... More

An Overview of the Security Concerns in Enterprise Cloud ComputingJan 28 2011Deploying cloud computing in an enterprise infrastructure bring significant security concerns. Successful implementation of cloud computing in an enterprise requires proper planning and understanding of emerging risks, threats, vulnerabilities, and possible ... More

Nonlocality Without Inequalities for all Pure Entangled StatesJul 31 1998Aug 09 1999This paper has been withdrawn by the authors.

Optimum Unambiguous Discrimination Between Linearly Independent Symmetric StatesJul 08 1998The quantum formalism permits one to discriminate sometimes between any set of linearly-independent pure states with certainty. We obtain the maximum probability with which a set of equally-likely, symmetric, linearly-independent states can be discriminated. ... More

Pulsar spins from an instability in the accretion shock of supernovaeNov 21 2006Rotation-powered radio pulsars are born with inferred initial rotation periods of order 300 ms (some as short as 20 ms) in core-collapse supernovae. In the traditional picture, this fast rotation is the result of conservation of angular momentum during ... More

Discovery of gamma-ray emission from the Broad Line Radio Galaxy Pictor ADec 29 2011We report the discovery of high-energy \gamma-ray emission from the Broad Line Radio Galaxy (BLRG) Pictor A with a significance of ~5.8\sigma (TS=33.4), based on three years of observations with the Fermi Large Area Telescope (LAT) detector. The three-year ... More

The rolling sphere and the quantum spinJun 16 2009We consider the problem of a sphere rolling of a curved surface and solve it by mapping it to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction. The mapping can be of pedagogical use in discussing both rolling and spin ... More

The ANTARES Neutrino Telescope: status and first resultsAug 07 2009Completed in May 2008, the ANTARES neutrino telescope is located in the Mediterranean Sea, 40 km off the coast of Toulon, at a depth of about 2500 m. Consisting of 12 detector lines housing nearly 900 optical modules, the ANTARES telescope is currently ... More

Electroweak Phase Transition in Two Higgs Doublet ModelsSep 03 1996Aug 23 2007We reexamine the strength of the first order phase transition in the electroweak theory supplemented by an extra Higgs doublet. The finite-temperature effective potential, $V_{eff}$, is computed to one-loop order, including the summation of ring diagrams, ... More

Baryonic Collapse within Dark Matter Halos and the Formation of Gaseous Galactic DisksSep 12 2006This paper constructs an analytic framework for calculating the assembly of galactic disks from the collapse of gas within dark matter halos, with the goal of determining the surface density profiles. Gas parcels (baryons) fall through the potentials ... More

Evolution of Planetary Orbits with Stellar Mass Loss and Tidal DissipationOct 09 2013Intermediate mass stars and stellar remnants often host planets, and these dynamical systems evolve because of mass loss and tides. This paper considers the combined action of stellar mass loss and tidal dissipation on planetary orbits in order to determine ... More

Flag-based Control of Orbit Dynamics in Quantum Lindblad SystemsFeb 20 2016In this paper, we demonstrate that the dynamics of an $n$-dimensional Lindblad control system can be separated into its inter- and intra-orbit dynamics when there is fast controllability. This can be viewed as a control system on the simplex of density ... More

An objective classification of Saturn cloud features from Cassini ISS imagesSep 25 2017A clustering algorithm is applied to Cassini Imaging Science Subsystem continuum and methane band images of Saturns northern hemisphere to objectively classify regional albedo features and aid in their dynamical interpretation. The procedure is based ... More

A Model of Pathways to Artificial Superintelligence Catastrophe for Risk and Decision AnalysisJul 25 2016An artificial superintelligence (ASI) is artificial intelligence that is significantly more intelligent than humans in all respects. While ASI does not currently exist, some scholars propose that it could be created sometime in the future, and furthermore ... More

Localized Energetics of Linear Gravity: Theoretical DevelopmentOct 02 2012We recently developed a local description of the energy, momentum and angular momentum carried by the linearized gravitational field, wherein the gravitational energy-momentum tensor displays positive energy-density and causal energy-flux, and the gravitational ... More

Localizing the Energy and Momentum of Linear GravityAug 24 2010Nov 23 2010A framework is developed which quantifies the local exchange of energy and momentum between matter and the linearized gravitational field. We derive the unique gravitational energy-momentum tensor consistent with this description, and find that this tensor ... More

Hill's Equation with Random Forcing Parameters: Determination of Growth Rates through Random MatricesFeb 04 2010This paper derives expressions for the growth rates for the random 2 x 2 matrices that result from solutions to the random Hill's equation. The parameters that appear in Hill's equation include the forcing strength and oscillation frequency. The development ... More

Hill's Equation with Random Forcing Parameters: The Limit of Delta Function BarriersJun 10 2009This paper considers random Hill's equations in the limit where the periodic forcing function becomes a Dirac delta function. For this class of equations, the forcing strength $q_k$, the oscillation frequency $\af_k$, and the period are allowed to vary ... More

Complete r-partite graphs determined by their domination polynomialMar 24 2013Apr 02 2013The domination polynomial of a graph is the polynomial whose coefficients count the number of dominating sets of each cardinality. A recent question asks which graphs are uniquely determined (up to isomorphism) by their domination polynomial. In this ... More

The friction of a mesh-like super-hydrophobic surfaceNov 16 2009When a liquid droplet is located above a super-hydrophobic surface, it only barely touches the solid portion of the surface, and therefore slides very easily on it. More generally, super-hydrophobic surfaces have been shown to lead to significant reduction ... More

Comparison of two unknown pure quantum statesFeb 15 2002Nov 01 2002We investigate the extent to which we can establish whether or not two quantum systems have been prepared in the same state. We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify ... More

Development and Initial Validation of a Scale to Measure Instructors' Attitudes toward Concept-Based Teaching of Introductory Statistics in the Health and Behavioral SciencesJul 19 2010Despite more than a decade of reform efforts, students continue to experience difficulty understanding and applying statistical concepts. The predominant focus of reform has been on content, pedagogy, technology and assessment, with little attention to ... More

The iterated auxiliary particle filterNov 19 2015Jun 15 2016We present an offline, iterated particle filter to facilitate statistical inference in general state space hidden Markov models. Given a model and a sequence of observations, the associated marginal likelihood L is central to likelihood-based inference ... More

General Analysis of Type I Planetary Migration with Stochastic PerturbationsJun 22 2009This paper presents a generalized treatment of Type I planetary migration in the presence of stochastic perturbations. In many planet-forming disks, the Type I migration mechanism, driven by asymmetric torques, acts on a short time scale and compromises ... More

Positioning system of the ANTARES Neutrino TelescopeAug 06 2009Completed in May 2008, the ANTARES neutrino telescope is located 40 km off the coast of Toulon, at a depth of about 2500 m. The telescope consists of 12 detect or lines housing a total of 884 optical modules. Each line is anchored to the seabed and pulled ... More

Viscous Marangoni propulsionDec 05 2012Marangoni propulsion is a form of locomotion wherein an asymmetric release of surfactant by a body located at the surface of a liquid leads to its directed motion. We present in this paper a mathematical model for Marangoni propulsion in the viscous regime. ... More

Geometric transition in friction for flow over a bubble mattressDec 10 2008Laminar flow over a bubble mattress is expected to experience a significant reduction in friction since the individual surfaces of the bubbles are shear-free. However, if the bubbles are sufficiently curved, their protrusion into the fluid and along the ... More

Hydrodynamic friction of fakir-like super-hydrophobic surfacesMay 20 2010A fluid droplet located on a super-hydrophobic surface makes contact with the surface only at small isolated regions, and is mostly in contact with the surrounding air. As a result, a fluid in motion near such a surface experiences very low friction, ... More

Wiring Switches to Light BulbsJan 25 2011Given n buttons and n bulbs so that the ith button toggles the ith bulb and at most two other bulbs, we compute the sharp lower bound on the number of bulbs that can be lit regardless of the action of the buttons.

Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functionsOct 14 2016We establish an isomorphism between the center of the Heisenberg category defined by Khovanov and the algebra $\Lambda^*$ of shifted symmetric functions defined by Okounkov-Olshanski. We give a graphical description of the shifted power and Schur bases ... More

Flag-Based Control of Quantum Purity for $n=2$ SystemsFeb 05 2016Feb 16 2016This paper investigates the fast Hamiltonian control of $n=2$ density operators by continuously varying the flag as one moves away from the completely mixed state. In general, the critical points and zeros of the purity derivative can only be solved analytically ... More

Towards Precision LSST Weak-Lensing Measurement - I: Impacts of Atmospheric Turbulence and Optical AberrationNov 08 2010Mar 22 2011The weak-lensing science of the LSST project drives the need to carefully model and separate the instrumental artifacts from the intrinsic lensing signal. The dominant source of the systematics for all ground based telescopes is the spatial correlation ... More

The central engines of radio-quiet quasarsMay 13 1998Two rival hypotheses have been proposed for the origin of the compact radio flux observed in radio-quiet quasars (RQQs). It has been suggested that the radio emission in these objects, typically some two or three orders of magnitude less powerful than ... More

Localising the gamma-ray emission region during the June 2014 outburst of 3C 454.3Jan 26 2016In May - July 2014, the flat spectrum radio quasar 3C 454.3 exhibited strong flaring behaviour. Observations with the Large Area Telescope detector on-board the Fermi Gamma-ray Space Telescope captured the $\gamma$-ray flux at energies 0.1 $\leq E_{\gamma}\leq$ ... More

Very high energy $γ$-ray emission from RBS 0679Oct 07 2014In this paper we report the \textit{Fermi} Large Area Telescope (LAT) detection of Very High Energy (VHE; $E_{\gamma}>100$ GeV) $\gamma$-ray emission from the BL Lac object RBS 0679. $5.3$ years of LAT observations revealed the presence of three VHE photon ... More

$γ$-ray observations of extraterrestrial neutrino track event positionsMay 05 2015In this paper we report the results of a $\gamma$-ray study of IceCube's extraterrestrial neutrino candidates detected as track-like events. Using 70 months of Fermi-LAT observations, a likelihood analysis of all $1-300$ GeV photons within 5 degrees of ... More

Annular Khovanov homology and knotted Schur-Weyl representationsMay 17 2015Let L be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of the exterior current algebra of the Lie algebra sl_2. When L is an m-framed n-cable of a knot K in the three-sphere, its sutured annular Khovanov ... More

Dynamics of Symplectic SubVolumesSep 09 2007In this paper we will explore fundamental constraints on the evolution of certain symplectic subvolumes possessed by any Hamiltonian phase space. This research has direct application to optimal control and control of conservative mechanical systems. We ... More

A Hyperbolic System in a One-Dimensional NetworkSep 09 2002We study a coupled system of Navier-Stokes equation and the equation of conservation of mass in a one-dimensional network. The system models the blood circulation in arterial networks. A special feature of the system is that the equations are coupled ... More

Particle acceleration and magnetic field amplification in the jets of 4C74.26May 08 2015Jun 07 2015We model the multi-wavelength emission in the southern hotspot of the radio quasar 4C74.26. The synchrotron radio emission is resolved near the shock with the MERLIN radio-interferometer, and the rapid decay of this emission behind the shock is interpreted ... More

Detection of Lens Candidates for the Double QSO Q2345+007May 26 1994Luminous objects associated with the 7.06\arcsec\ separation double quasar Q2345+007 have, until now, escaped detection. In this letter we present the results of the deepest known imaging of the region surrounding the quasar. The total exposure times ... More

COBE-DMR-normalisation for Cosmological Constant Dominated Cold Dark Matter ModelsFeb 06 1995The two-year COBE-DMR 53 and 90 GHz sky maps are used to determine the normalization of inflationary, cosmological constant dominated, cold dark matter models. Although the COBE-DMR data prefer a nearly critical value for the total density, low-density ... More

The Large-Scale Distribution and Motions of Older Stars in OrionFeb 05 1998Apr 13 1998We review the current knowledge of the population of `older' stars in the Orion OB1 association, specifically those in subgroups 1a and 1b. We briefly outline the history of the subject and then continue with a summary of the present state of knowledge ... More

Parallel resampling in the particle filterJan 17 2013Jun 11 2015Modern parallel computing devices, such as the graphics processing unit (GPU), have gained significant traction in scientific and statistical computing. They are particularly well-suited to data-parallel algorithms such as the particle filter, or more ... More

High resolution simulations of star formationOct 09 2001In order to study the capabilities of SPH in self-gravitating hydrodynamical problems, we have performed a series of three-dimensional numerical simulations of the collapse of a rotating homogeneous cloud, varying the number of particles and the artificial ... More

Interloper bias in future large-scale structure surveysJul 17 2015Apr 19 2016Next-generation spectroscopic surveys will map the large-scale structure of the observable universe, using emission line galaxies as tracers. While each survey will map the sky with a specific emission line, interloping emission lines can masquerade as ... More

Comparing Spatial Regression to Random Forests for Large Environmental Data SetsDec 26 2018Environmental data may be "large" due to number of records, number of covariates, or both. Random forests has a reputation for good predictive performance when using many covariates with nonlinear relationships, whereas spatial regression, when using ... More

Formation of Chimneys in Mushy Layers: Experiment and SimulationOct 18 2011In this fluid dyanmics video, we show experimental images and simulations of chimney formation in mushy layers. A directional solidification apparatus was used to freeze 25 wt % aqueous ammonium chloride solutions at controlled rates in a narrow Hele-Shaw ... More

Evolution of Planetary Systems with Time Dependent Stellar Mass LossMar 15 2013Observations indicate that intermediate mass stars, binary stars, and stellar remnants often host planets; a complete explanation of these systems requires an understanding of how planetary orbits evolve as their central stars lose mass. Motivated by ... More

Mean Motion Resonances in Exoplanet Systems: An Investigation Into Nodding BehaviorNov 13 2012Motivated by the large number of extrasolar planetary systems that are near mean motion resonances, this paper explores a related type of dynamical behavior known as "nodding". Here, the resonance angle of a planetary system executes libration (oscillatory ... More

Evidence for a black hole in a radio-quiet quasar nucleusJun 17 1996We present the first milli-arcsecond resolution radio images of a radio-quiet quasar, detecting a high brightness temperature core with data from the VLBA. On maps made with lower-frequency data from MERLIN and the VLA jets appear to emanate from the ... More

A Model of Blood Flow in a Circulation NetworkOct 26 2002We study a mathematical model of a blood circulation network which is a generalization of the coronary model proposed by Smith, Pullan and Hunter. We prove the existence and uniqueness of the solution to the initial-boundary value problem and discuss ... More

Vector Dark Matter through a Radiative Higgs PortalDec 21 2015May 18 2016We study a model of spin-1 dark matter which interacts with the Standard Model predominantly via exchange of Higgs bosons. We propose an alternative UV completion to the usual Vector Dark Matter Higgs Portal, in which vector-like fermions charged under ... More

COBE-DMR-normalisation for Cold and Mixed Dark Matter Models Inflationary CosmogonyFeb 06 1995The two-year COBE-DMR 53 and 90 GHz sky maps in both ecliptic and galactic coordinates, are used to determine the normalisation of inflationary, flat, dark matter dominated universe models. The appropriately normalized cold and mixed dark matter models, ... More

COBE-DMR-normalised Open Inflation, CDM CosmogonyFeb 06 1995Fourier analysis on a cut sky of the two-year COBE DMR 53 and 90 GHz sky maps (in galactic coordinates) is used to determine the normalisation of an open inflation model based on the cold dark matter scenario. The normalised model is compared to measures ... More

On the joint analysis of CMB temperature and lensing-reconstruction power spectraAug 01 2013Gravitational lensing provides a significant source of cosmological information in modern CMB parameter analyses. It is measured in both the power spectrum and trispectrum of the temperature fluctuations. These observables are often treated as independent, ... More

CMB lensing and primordial non-GaussianityMay 28 2009Jun 18 2010We study the effects of gravitational lensing on the estimation of non-Gaussianity from the bispectrum of the cosmic microwave background (CMB) temperature anisotropies. We find that the effect of lensing on the bispectrum may qualitatively be described ... More

Evaluating the Gamma-Ray Evidence for Self-Annihilating Dark Matter from the Virgo ClusterJul 26 2012Oct 09 2012Based on three years of Fermi Large Area Telescope (LAT) gamma-ray data of the Virgo cluster, evidence for an extended emission associated with dark matter pair annihilation in the b b-bar channel has been reported by Han et al. [1]. After an in depth ... More

Latest results from the IceCube ExperimentDec 07 2010The IceCube Collaboration is currently building the world's largest neutrino telescope at the South Pole to observe high energy neutrinos from a variety of astrophysical sources. In this paper we review the current status of the IceCube experiment, highlighting ... More

A Conjectured Integer Sequence Arising From the Exponential IntegralDec 02 2018Dec 15 2018Let $f_0(z) = \exp(z/(1-z))$, $f_1(z) = \exp(1/(1-z))E_1(1/(1-z))$, where $E_1(x) = \int_x^\infty e^{-t}t^{-1}{\,d}t$. Let $a_n = [z^n]f_0(z)$ and $b_n = [z^n]f_1(z)$ be the corresponding Maclaurin series coefficients. We show that $a_n$ and $b_n$ may ... More

Uncertainty Quantification for Airfoil Icing using Polynomial Chaos ExpansionsNov 13 2014The formation and accretion of ice on the leading edge of a wing can be detrimental to airplane performance. Complicating this reality is the fact that even a small amount of uncertainty in the shape of the accreted ice may result in a large amount of ... More

Binding of Hypernuclei in the Latest Quark-Meson Coupling ModelDec 12 2007Oct 10 2008The most recent development of the quark-meson coupling (QMC) model, in which the effect of the mean scalar field in-medium on the hyperfine interaction is also included self-consistently, is used to compute the properties of finite hypernuclei. The calculations ... More

Ubiquity of density slope oscillations in the central regions of galaxy and cluster-sized systemsApr 05 2016One usually thinks of a radial density profile as having a monotonically changing logarithmic slope, such as in NFW or Einasto profiles. However, in two different classes of commonly used systems, this is often not the case. These classes exhibit non-monotonic ... More

Effects of Turbulence, Eccentricity Damping, and Migration Rate on the Capture of Planets into Mean Motion ResonanceNov 05 2010Pairs of migrating extrasolar planets often lock into mean motion resonance as they drift inward. This paper studies the convergent migration of giant planets (driven by a circumstellar disk) and determines the probability that they are captured into ... More

Eclipses by a Circumstellar Dust Feature in the Pre-Main Sequence Star KH15DMay 23 2001Jun 08 2001Photometry and spectroscopy of the unique pre-main sequence eclipsing object KH15D in the young cluster NGC 2264 are presented. The orbital period is 48.34 days and both the length (~16 d) and depth (~3 mag) of the eclipse have increased with time. A ... More

A variational problem on Stiefel manifoldsSep 01 2006In their paper on discrete analogues of some classical systems such as the rigid body and the geodesic flow on an ellipsoid, Moser and Veselov introduced their analysis in the general context of flows on Stiefel manifolds. We consider here a general class ... More

Particle acceleration and magnetic field amplification in hotspots of FR II galaxies: The case study 4C74.26Feb 25 2016Apr 30 2016It has been suggested that relativistic shocks in extragalactic sources may accelerate the most energetic cosmic rays. However, recent theoretical advances indicating that relativistic shocks are probably unable to accelerate particles to energies much ... More

Accretion of Rocky Planets by Hot JupitersSep 23 2011The observed population of Hot Jupiters displays a stunning variety of physical properties, including a wide range of densities and core sizes for a given planetary mass. Motivated by the observational sample, this paper studies the accretion of rocky ... More

W-algebras from Heisenberg categoriesJan 03 2015The trace (or zeroth Hochschild homology) of Khovanov's Heisenberg category is identified with a quotient of the algebra W_{1+\infty}. This induces an action of W_{1+\infty} on symmetric functions.

Some Revised Observational Constraints on the Formation and Evolution of the Galactic DiskSep 12 1997A set of 76 open clusters with abundances based upon DDO photometry and/or moderate dispersion spectroscopy has been transformed to a common [Fe/H] scale and used to study the local structure and evolution of the galactic disk. The metallicity distribution ... More

Turbulence in Extrasolar Planetary Systems Implies that Mean Motion Resonances are RareMay 12 2008This paper considers the effects of turbulence on mean motion resonances in extrasolar planetary systems and predicts that systems rarely survive in a resonant configuration. A growing number of systems are reported to be in resonance, which is thought ... More

CMB Anisotropy in COBE-DMR-Normalized Open CDM CosmogonyDec 22 1995We compute the CMB anisotropy in an open inflation CDM model which is normalized to the two-year DMR sky map. Presently available CMB data is consistent with $\Omega_0 \sim 0.3 - 0.4$, but does not strongly disfavour either $\Omega_0 \sim 0.1$ or $\Omega_0 ... More

Out of equilibrium: understanding cosmological evolution to lower-entropy statesAug 01 2011Despite the importance of the Second Law of Thermodynamics, it is not absolute. Statistical mechanics implies that, given sufficient time, systems near equilibrium will spontaneously fluctuate into lower-entropy states, locally reversing the thermodynamic ... More

Experimental realization of optimal detection strategies for overcomplete statesAug 04 2000Mar 05 2001We present the results of generalized measurements of optical polarization designed to provide one of three or four distinct outcomes. This has allowed us to discriminate between nonorthogonal polarization states with an error probability that is close ... More

The logic of the future in quantum theorySep 02 2014May 02 2016According to quantum mechanics, statements about the future made by sentient beings like us are, in general, neither true nor false; they must satisfy a many-valued logic. I propose that the truth value of such a statement should be identified with the ... More

Entangling capacity and distinguishability of two-qubit unitary operatorsFeb 14 2005Sep 02 2005We prove that the entangling capacity of a two-qubit unitary operator without local ancillas, both with and without the restriction to initial product states, as quantified by the maximum attainable concurrence, is directly related to the distinguishability ... More

Distinguishability Measures and Ensemble OrderingsSep 27 2001Nov 01 2002It is shown that different distinguishability measures impose different orderings on ensembles of $N$ pure quantum states. This is demonstrated using ensembles of equally-probable, linearly independent, symmetrical pure states, with the maximum probabilities ... More

Top Production Properties at the TevatronNov 27 2000Nov 28 2000Following the confirmation of the top quark discovery at the Tevatron, the next step is to begin studying its properties. Because the scale of electroweak symmetry breaking is of the same order as the measured top mass, the top quark may be very sensitive ... More

Invariants topologiques des Espaces non commutatifsJul 24 2013In this thesis, we give a definition of topological K-theory of Kontsevich's noncommutative spaces (ie dg-categories) defined over the complex. The main motivation comes from noncommutative Hodge structures in the sense of Kontsevich--Katzarkov--Pantev ... More

Explicit expressions for the moments of the size of an (s,s+1)-core partition with distinct partsAug 07 2016Nov 23 2016For fixed s, the size of an (s, s+1)-core partition with distinct parts can be seen as a random variable X_s. Using computer-assisted methods, we derive formulas for the expectation, variance, and higher moments of X_s. Our results give good evidence ... More

K^F-invariants in irreducible representations of G^F, when G=GL_nJul 24 2001Jan 25 2002Using a general result of Lusztig, we give explicit formulas for the dimensions of K^F-invariants in irreducible representations of G^F, when G=GL_n, F:G->G is a Frobenius map, and K is an F-stable subgroup of finite index in G^theta for some involution ... More

On the Riemann zeta-function, Part IIMay 18 2007An odd meromorphic function f(s) is constructed from the Riemann zeta-function evaluated at one-half plus s. We determine the two-sided Laplace transform representation of f(s) on open vertical strips, V'(4w), disjoint from the (translated) critical strip. ... More

On the Riemann zeta-function, Part I: OutlineMay 14 2007Results of a multipart work are outlined. Use is made therein of the conjunction of the Riemann hypothesis, RH, and hypotheses advanced by the author. Let z(n) be the nth nonreal zero of the Riemann zeta-function with positive imaginary part in order ... More

Negative curvature of automorphism groups of graph products with applications to right-angled Artin groupsJul 02 2018Oct 29 2018Given a (freely irreducible) product graph of groups $\Gamma \mathcal{G}$, we introduce and study its \emph{product graph} $P(\Gamma, \mathcal{G})$, defined as the graph whose vertices are the maximal product subgroups of $\Gamma \mathcal{G}$ and whose ... More

Hyperbolicities in CAT(0) cube complexesSep 26 2017This paper is a survey dedicated to the following question: given a group acting on some CAT(0) cube complex, how to exploit this action to determine whether or not the group is Gromov / relatively / acylindrically hyperbolic? As much as possible, the ... More

The geometry of two-valued subsets of $L_{p}$-spacesDec 29 2014Jul 13 2016Let $\mathcal{M}(\Omega, \mu)$ denote the algebra of all scalar-valued measurable functions on a measure space $(\Omega, \mu)$. Let $B \subset \mathcal{M}(\Omega, \mu)$ be a set of finitely supported measurable functions such that the essential range ... More

A geometrical triumvirate of real random matricesFeb 06 2012We present a five-step method for the calculation of eigenvalue correlation functions for various ensembles of real random matrices, based upon the method of (skew-) orthogonal polynomials. This scheme systematises existing methods and also involves some ... More

Exterior powers of the reflection representation in the cohomology of Springer fibresJan 18 2010Let $H^*(\calB_e)$ be the cohomology of the Springer fibre for the nilpotent element $e$ in a simple Lie algebra $\g$, on which the Weyl group $W$ acts by the Springer representation. Let $\Lambda^i V$ denote the $i$th exterior power of the reflection ... More

Statistical reconstruction of three-dimensional porous media from two-dimensional imagesFeb 01 1999A method of modelling the three-dimensional microstructure of random isotropic two-phase materials is proposed. The information required to implement the technique can be obtained from two-dimensional images of the microstructure. The reconstructed models ... More

A Remark on reverse Littlewood-Paley, restriction and KakeyaJul 09 2015We show that a certain conjectured optimal reverse Littlewood- Paley inequality would, if true, imply sharp results for the Kakeya maximal function, the Bochner-Riesz means and the Fourier restriction operator.

Deterministic Quantum State TransformationsNov 19 1999Mar 07 2000We derive a necessary condition for the existence of a completely-positive, linear, trace-preserving map which deterministically transforms one finite set of pure quantum states into another. This condition is also sufficient for linearly-independent ... More

Distributed implementation of standard oracle operatorsJun 15 2007Jul 07 2007The standard oracle operator corresponding to a function f is a unitary operator that computes this function coherently, i.e. it maintains superpositions. This operator acts on a bipartite system, where the subsystems are the input and output registers. ... More

Explicit expressions for the moments of the size of an (n, dn-1)-core partition with distinct partsFeb 18 2017Oct 15 2017In a previous paper (arXiv:1608.02262), we used computer-assisted methods to find explicit expressions for the moments of the size of a uniform random (n,n+1)-core partition with distinct parts. In particular, we conjectured that the distribution is asymptotically ... More

Cohomology Jumping Loci and Relative Malcev CompletionApr 25 2008Two standard invariants used to study the fundamental group G of the complement X of a hyperplane arrangement are the Malcev completion of G and the cohomology groups of X with coefficients in rank one local systems. In this paper, we develop a tool that ... More

Induced characters of the projective general linear group over a finite fieldDec 13 2005Using a general result of Lusztig, we find the decomposition into irreducibles of certain induced characters of the projective general linear group over a finite field of odd characteristic.