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Linear Collider PhysicsOct 22 2004The International Linear Collider has a rich physics programme, whatever lies beyond the standard model. Accurate measurement of the top quark mass is needed to constrain the model or its extensions. If there is a light Higgs boson the LHC should see ... More

Class Discovery in Galaxy ClassificationJun 14 2004In recent years, automated, supervised classification techniques have been fruitfully applied to labeling and organizing large astronomical databases. These methods require off-line classifier training, based on labeled examples from each of the (known) ... More

Parsimonious Topic Models with Salient Word DiscoveryJan 22 2014Sep 11 2014We propose a parsimonious topic model for text corpora. In related models such as Latent Dirichlet Allocation (LDA), all words are modeled topic-specifically, even though many words occur with similar frequencies across different topics. Our modeling ... More

An Orthogonal Test of the $L$-functions Ratios Conjecture, IINov 10 2009Recently Conrey, Farmer, and Zirnbauer developed the L-functions Ratios conjecture, which gives a recipe that predicts a wealth of statistics, from moments to spacings between adjacent zeros and values of L-functions. The problem with this method is that ... More

ATD: Anomalous Topic Discovery in High Dimensional Discrete DataDec 20 2015May 20 2016We propose an algorithm for detecting patterns exhibited by anomalous clusters in high dimensional discrete data. Unlike most anomaly detection (AD) methods, which detect individual anomalies, our proposed method detects groups (clusters) of anomalies; ... More

Irrationality From The BookSep 27 2009Nov 04 2009We generalize Tennenbaum's geometric proof of the irrationality of sqrt(2) to sqrt(n) for n = 3, 5, 6 and 10.

High scale boundary conditions with an additional complex singletFeb 07 2018We investigate Planck scale boundary conditions on Higgs quartic interactions and their $\beta$-functions in the SM augmented by an additional complex scalar. We use renormalisation group running at two-loops, and include both theoretical and experimental ... More

High Scale Boundary Conditions in Models with Two Higgs DoubletsOct 10 2018Oct 25 2018We investigate high scale boundary conditions on the quartic Higgs-couplings and their $\beta$-functions in the Type-II Two Higgs Doublet Model and the Inert Doublet Model. These conditions are associated with two possible UV physics scenarios: the Multiple ... More

High scale boundary conditions with an additional complex singletFeb 07 2018Jun 21 2018We investigate Planck scale boundary conditions on Higgs quartic interactions and their $\beta$-functions in the SM augmented by an additional complex scalar. We use renormalisation group running at two-loops, and include both theoretical and experimental ... More

Irrationality From The BookSep 27 2009Jun 29 2018We generalize Tennenbaum's geometric proof of the irrationality of sqrt(2) to sqrt(n) for n = 3, 5, 6 and 10. Modified version published in Mathematics Magazine \textbf{85} (2012), no. 2, 110--114.

Objective Subclass Determination of Sloan Digital Sky Survey Unknown Spectral ObjectsDec 05 2005Jun 05 2006We analyze a portion of the SDSS photometric catalog, consisting of approximately 10,000 objects that have been spectroscopically classified into stars, galaxies, QSOs, late-type stars and unknown objects (spectroscopically unclassified objects, SUOs), ... More

The Power Spectrum of Rich Clusters on Near Gigaparsec ScalesFeb 14 2000Mar 01 2001Recently, there have been numerous analyses of the redshift space power spectrum of rich clusters of galaxies. Some of these analyses indicate a "bump" in the Abell/ACO cluster power spectrum around k= 0.05hMpc^-1. Such a feature in the power spectrum ... More

Questions about the Measurement of the $\rm{e}^{+}\rm{e}^{-}$ Luminosity Spectrum at a future linear ColliderNov 08 2002Important analyses at a future linear collider, including top-quark and W-boson mass measurements will depend upon the precise determination of the luminosity spectrum. This can be done, in principle,in the planned detectors. We review the problems to ... More

When Not to Classify: Detection of Reverse Engineering Attacks on DNN Image ClassifiersOct 31 2018This paper addresses detection of a reverse engineering (RE) attack targeting a deep neural network (DNN) image classifier; by querying, RE's aim is to discover the classifier's decision rule. RE can enable test-time evasion attacks, which require knowledge ... More

Detecting Clusters of Anomalies on Low-Dimensional Feature Subsets with Application to Network Traffic Flow DataJun 10 2015In a variety of applications, one desires to detect groups of anomalous data samples, with a group potentially manifesting its atypicality (relative to a reference model) on a low-dimensional subset of the full measured set of features. Samples may only ... More

Scherk-Schwarz orbifolds at the LHCJan 29 2019We examine orbifold theories of Grand Unification with Scherk-Schwarz twisting, performing a renormalisation group analysis and applying low energy experimental constraints. We rule out the minimal SU(5) models, and consider simple extensions including ... More

Adversarial Learning in Statistical Classification: A Comprehensive Review of Defenses Against AttacksApr 12 2019With the wide deployment of machine learning (ML) based systems for a variety of applications including medical, military, automotive, genomic, as well as multimedia and social networking, there is great potential for damage from adversarial learning ... More

Confronting Scherk-Schwarz orbifold models with LHC dataJan 23 2019We will outline our recent efforts aimed at analysing a class of models known as orbifold GUTs and their phenomenology in a variety of minimal and non-minimal settings. We examine the minimal SU(5) models, rule them out, and proceed by extending them ... More

Adversarial Learning in Statistical Classification: A Comprehensive Review of Defenses Against AttacksApr 12 2019May 13 2019There is great potential for damage from adversarial learning (AL) attacks on machine-learning based systems. In this paper, we provide a contemporary survey of AL, focused particularly on defenses against attacks on statistical classifiers. After introducing ... More

A fast, sensitive, room-temperature graphene nanomechanical bolometerOct 31 2018Bolometers are a powerful and vital means of detecting light in the IR to THz frequencies, and they have been adopted for a range of uses from astronomical observation to thermal imaging. As uses diversify, there is an increasing demand for faster, more ... More

Novel Structural Motifs in Clusters of Dipolar Spheres: Knots, Links and CoilsNov 07 2005We present the structures of putative global potential energy minima for clusters bound by the Stockmayer (Lennard-Jones plus point dipole) potential. A rich variety of structures is revealed as the cluster size and dipole strength are varied. Most remarkable ... More

Energy Landscape of a Model ProteinApr 21 1999The potential energy surface of an off-lattice model protein is characterized in detail by constructing a disconnectivity graph and by examining the organisation of pathways on the surface. The results clearly reveal the frustration exhibited by this ... More

Multicategory Crowdsourcing Accounting for Plurality in Worker Skill and Intention, Task Difficulty, and Task HeterogeneityJul 28 2013Crowdsourcing allows to instantly recruit workers on the web to annotate image, web page, or document databases. However, worker unreliability prevents taking a workers responses at face value. Thus, responses from multiple workers are typically aggregated ... More

Scherk-Schwarz orbifolds at the LHCJan 29 2019Feb 19 2019We examine orbifold theories of Grand Unification with Scherk-Schwarz twisting, performing a renormalisation group analysis and applying low energy experimental constraints. We rule out the minimal SU(5) models, and consider simple extensions including ... More

When Not to Classify: Anomaly Detection of Attacks (ADA) on DNN Classifiers at Test TimeDec 18 2017Jun 28 2018A significant threat to the recent, wide deployment of machine learning-based systems, including deep neural networks (DNNs), is adversarial learning attacks. We analyze possible test-time evasion-attack mechanisms and show that, in some important cases, ... More

The `Real' Schwarz LemmaDec 02 2010The purpose of this note is to discuss the real analogue of the Schwarz lemma from complex analysis.

Possible Detection of Baryonic Fluctuations in the Large-Scale Structure Power SpectrumMar 01 2001May 16 2001We present a joint analysis of the power spectra of density fluctuations from three independent cosmological redshift surveys; the PSCz galaxy catalog, the APM galaxy cluster catalog and the Abell/ACO cluster catalog. Over the range 0.03 <= k <= 0.15 ... More

Acoustic Oscillations in the Early Universe and TodayMay 23 2001During its first ~100,000 years, the universe was a fully ionized plasma with a tight coupling by Thompson scattering between the photons and matter. The trade--off between gravitational collapse and photon pressure causes acoustic oscillations in this ... More

Structural trends in clusters of quadrupolar spheresJun 16 2008The influence of quadrupolar interactions on the structure of small clusters is investigated by adding a point quadrupole of variable strength to the Lennard-Jones potential. Competition arises between sheet-like arrangements of the particles, favoured ... More

Game Theoretic Iterative Partitioning for Dynamic Load Balancing in Distributed Network SimulationNov 03 2011Oct 13 2012High fidelity simulation of large-sized complex networks can be realized on a distributed computing platform that leverages the combined resources of multiple processors or machines. In a discrete event driven simulation, the assignment of logical processes ... More

Ionized Gas Kinematics and Morphology in Sgr B2 Main on 1000 AU ScalesSep 20 2011We have imaged the Sgr B2 Main region with the Very Large Array in the BnA configuration ($\theta_{beam}$ = 0\farcs13) in both the H52$\alpha$ (45.453 GHz) radio recombination line (RRL) and 7 mm continuum emission. At a distance of 8500 pc, this spatial ... More

Adversarial Learning: A Critical Review and Active Learning StudyMay 27 2017This papers consists of two parts. The first is a critical review of prior art on adversarial learning, identifying some significant limitations of previous works. The second part is an experimental study considering adversarial active learning and an ... More

Structural relaxation in Morse clusters: Energy landscapesAug 07 1998We perform a comprehensive survey of the potential energy landscapes of 13-atom Morse clusters, and describe how they can be characterized and visualized. Our aim is to detail how the global features of the funnel-like surface change with the range of ... More

Structural relaxation in atomic clusters: Master equation dynamicsMay 07 1999The role of the potential energy landscape in determining the relaxation dynamics of model clusters is studied using a master equation. Two types of energy landscape are examined: a single funnel, as exemplified by 13-atom Morse clusters, and the double ... More

CP Asymmetries in Higgs decays to ZZ at the LHCAug 27 2007We examine the effect of a general HZZ coupling through a study of the Higgs decay to leptons via Z bosons at the LHC. We discuss various methods for placing limits on additional couplings, including measurement of the partial width, threshold scans, ... More

Aspects of CP violation in the HZZ coupling at the LHCAug 03 2007Dec 14 2007We examine the CP-conserving (CPC) and CP-violating (CPV) effects of a general HZZ coupling through a study of the process H -> ZZ* -> 4 leptons at the LHC. We construct asymmetries that directly probe these couplings. Further, we present complete analytical ... More

Next-to-leading order predictions for WW+jet productionJun 15 2015Aug 04 2015In this work we report on a next-to-leading order calculation of WW + jet production at hadron colliders, with subsequent leptonic decays of the W-bosons included. The calculation of the one-loop contributions is performed using generalized unitarity ... More

Boosting Higgs CP properties via VH Production at the Large Hadron ColliderJun 11 2013Jun 18 2013We consider ZH and WH production at the Large Hadron Collider, where the Higgs decays to a bb pair. We use jet substructure techniques to reconstruct the Higgs boson and construct angular observables involving leptonic decay products of the vector bosons. ... More

Convex Analysis of Mixtures for Separating Non-negative Well-grounded SourcesJun 28 2014Dec 10 2015Blind Source Separation (BSS) has proven to be a powerful tool for the analysis of composite patterns in engineering and science. We introduce Convex Analysis of Mixtures (CAM) for separating non-negative well-grounded sources, which learns the mixing ... More

A Mixture Model Based Defense for Data Poisoning Attacks Against Naive Bayes Spam FiltersOct 31 2018Naive Bayes spam filters are highly susceptible to data poisoning attacks. Here, known spam sources/blacklisted IPs exploit the fact that their received emails will be treated as (ground truth) labeled spam examples, and used for classifier training (or ... More

An introduction to functional analysis for science and engineeringApr 02 2019Apr 12 2019This is a tutorial introduction to the functional analysis mathematics needed in many physical problems, such as in waves in continuous media. Functional analysis takes us beyond finite matrices, allowing us to work with infinite sets of continuous functions. ... More

How complicated must an optical component be?Sep 25 2012Jan 04 2013We analyze how complicated a linear optical component has to be if it is to perform one of a range of functions. Specifically, we devise an approach to evaluating the number of real parameters that must be specified in the device design or fabrication, ... More

Entropy for $SU(3)_c$ Quark StatesJun 30 2003Jul 08 2003We discuss the quantum state structure using the standard model for three colored quarks in the fundamental representations of $SU(3)_c$ making up the singlet ground state of the hadrons. This allows us to calculate a finite von Neumann entropy from the ... More

Turing degree spectra of differentially closed fieldsJun 13 2014Feb 08 2018The degree spectrum of a countable structure is the set of all Turing degrees of presentations of that structure. We show that every nonlow Turing degree lies in the spectrum of some differentially closed field (of characteristic 0, with a single derivation) ... More

Popaths and HolinksSep 07 2009In the study of stratified spaces it is useful to examine spaces of popaths (paths which travel from lower strata to higher strata) and holinks (those spaces of popaths which immediately leave a lower stratum for their final stratum destination). It is ... More

Shape tailoring to enhance and tune the properties of graphene nanomechanical resonatorsOct 17 2018The shape of a nanomechanical resonator profoundly affects its mechanical properties and determines its suitability for various applications, such as ultra-sensitive mass and force detection. Despite the promise of two-dimensional nanomechanical systems ... More

Code subspaces for LLM geometriesJul 31 2017Sep 29 2017We consider effective field theory around classical background geometries with a gauge theory dual, in the class of LLM geometries. These are dual to half-BPS states of $\cal{N}=$ 4 SYM. We find that the language of code subspaces is natural for discussing ... More

Topology and geometry cannot be measured by an operator measurement in quantum gravityMay 19 2016Jun 02 2016In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology ... More

Entropy for Diquarks in exotic Quark StatesAug 23 2004We discuss the quantum state structure on the basis of $SU(3)_c$ for some known exotic quark systems using a model which describes these particular states as highly correlated diquarks and antidiquarks. We are then able to calculate for a single colored ... More

Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scaleMay 17 2016Jun 02 2016We argue in this essay that for classical configurations of gravity in the AdS/CFT setup, it is in general impossible to reconstruct the bulk geometry from the leading asymptotic behavior of the classical fields in gravity alone. This is possible sufficiently ... More

Conformal perturbation theory, dimensional regularization and AdS/CFTJun 16 2014We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point function calculation ... More

Superposition induced topology changes in quantum gravityFeb 09 2017May 24 2017We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology. We study this phenomenon in a particular limit of the LLM geometries. In this limit, the UV complete minisuperspace ... More

Logarithmic enhancements in conformal perturbation theory and their real time interpretationJul 07 2016We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the perturbations ... More

Attojoule Optoelectronics for Low-Energy Information Processing and Communications: a Tutorial ReviewSep 18 2016Sep 20 2016Optics offers unique opportunities for reducing energy in information processing and communications while resolving the problem of interconnect bandwidth density inside machines. Such energy dissipation overall is now at environmentally significant levels; ... More

Lattice QCD Calculation for the Physical Equation of StateAug 21 2006In this report we consider the numerical simulations at finite temperature using lattice QCD data for the computation of the thermodynamical quantities including the pressure, energy density and the entropy density. These physical quantities can be related ... More

Bayesian views of generalized additive modellingFeb 04 2019Links between frequentist and Bayesian approaches to smoothing were highlighted early on in the smoothing literature, and power much of the machinery that underlies the modern generalized additive modelling framework (implemented in software such as the ... More

Self-aligning universal beam couplerFeb 06 2013We propose a device that can take an arbitrary monochromatic input beam and couple it into a single-mode guide or beam. Simple feedback loops from detectors to modulator elements allow the device to adapt automatically to any specific input beam form. ... More

Algorithms for graded injective resolutions and local cohomology over semigroup ringsSep 16 2003Let Q be an affine semigroup generating Z^d, and fix a finitely generated Z^d-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a minimal Z^d-graded injective resolution of M up to any desired cohomological ... More

Waves, modes, communications and opticsApr 10 2019Apr 12 2019Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But finding a corresponding mode description for counting the best ... More

Waves, modes, communications and opticsApr 10 2019Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But finding a corresponding mode description for counting the best ... More

An introduction to functional analysis for science and engineeringApr 02 2019This is a tutorial introduction to the functional analysis mathematics needed in many physical problems, such as in waves in continuous media. Functional analysis takes us beyond finite matrices, allowing us to work with infinite sets of continuous functions. ... More

Self-Configuring Universal Linear Optical ComponentMar 19 2013Mar 23 2013We show how to design an optical device that can perform any linear function or coupling between inputs and outputs. This design method is progressive, requiring no global optimization. We also show how the device can configure itself progressively, avoiding ... More

All linear optical devices are mode convertersSep 21 2012We show that every linear optical component can be completely described as a device that converts one set of orthogonal input modes, one by one, to a matching set of orthogonal output modes. This result holds for any linear optical structure with any ... More

Search for Rare and Forbidden Decays of D mesons to Final States with ElectronsJan 03 2006Using the CLEO-c detector and a data sample of 0.8 million D+D- pairs at the Psi(3770) a search has been performed for flavor changing neutral current and lepton number violating decays of D+ mesons to final states with dielectrons. No signals are observed ... More

Bass Numbers of Semigroup-Graded Local CohomologyOct 01 2000Oct 17 2000Given a module M over a ring R which has a grading by a semigroup Q, we present a spectral sequence that computes the local cohomology of M at any Q-graded ideal I in terms of Ext modules. This method is used to obtain finiteness results for the local ... More

Spatially Resolved Optical Excitation of Mechanical Modes in Graphene NEMSMay 29 2019Emerging applications in nanoelectromechanical systems (NEMS) made from two-dimensional (2D) materials demand simultaneous imaging and selective actuation of the mechanical modes. Focused optical probes to measure and actuate motion offer a possible solution, ... More

Charmonium at CLEO-cJan 04 2006Results are presented on Charmonium using data collected with the CLEO III and CLEO-c detectors at the Psi(2S) and Psi(3770). Measurements include, the first observation of the hc(1P1) state, the electronic widths of the J/Psi and Psi(2S), the two photon ... More

Fundamental Limit to Linear One-Dimensional Slow Light StructuresOct 18 2007Using a new general approach to limits in optical structures that counts orthogonal waves generated by scattering, we derive an upper limit to the number of bits of delay possible in one-dimensional slow light structures that are based on linear optical ... More

Gluon condensates at finite temperatureAug 03 2000We consider various special cases of gluon condensates at finite temperature. The gluon condensate for an ideal gas of gluons with a given vacuum expectation value is introduced for the sake of comparison with that calculated using the recent finite temperature ... More

Anomalous Currents and Gluon Condensates in QCD at Finite TemperatureJul 28 1999After a short description of the currents coming from the known conservation laws in classical physics, we look at some further cases which arise after quantization in relation to quantum chromodynamics (QCD) at finite temperature. In these cases, however, ... More

The Gluon Condensate in QCD at Finite TemperatureJul 09 1998We begin with the discussion of the relationship between the trace of the energy momentum tensor and the gluon condensate at finite temperatures. Using the recent numerical data from the simulations of lattice gauge theory for quantum chromodynamics(QCD) ... More

Attojoule Optoelectronics for Low-Energy Information Processing and Communications: a Tutorial ReviewSep 18 2016Jan 01 2017Optics offers unique opportunities for reducing energy in information processing and communications while resolving the problem of interconnect bandwidth density inside machines. Such energy dissipation overall is now at environmentally significant levels; ... More

Asymmetric Independence Model for Detecting Interactions between VariablesFeb 10 2015Detecting complex interactions among risk factors in case-control studies is a fundamental task in clinical and population research. However, though hypothesis testing using logistic regression (LR) is a convenient solution, the LR framework is poorly ... More

Computation of the scaling factor of resistance forms of the pillow and fractalina fractalsApr 26 2012May 16 2012Much is known in the analysis of a finitely ramified self-similar fractal when the fractal has a harmonic structure: a Dirichlet form which respects the self-similarity of a fractal. What is still an open question is when such structure exists in general. ... More

Energy landscapes, structural topologies and rearrangement mechanisms in clusters of dipolar particlesApr 29 2013Clusters of spherical particles with isotropic attraction favour compact structures that maximise the number of energetically optimal nearest-neighbour interactions. In contrast, dipolar interactions lead to the formation of chains with a low coordination ... More

Interstellar Iron and Silicon Depletions in Translucent Sight LinesJan 14 2007We report interstellar FeII and SiII column densities toward six translucent sight lines (A_V >~ 1) observed with the Space Telescope Imaging Spectrograph (STIS). The abundances were determined from the absorption of SiII] at 2335 Angstroms, and several ... More

The Temperature Dependence of the SU(N) Gluon Condensate from Lattice Gauge TheoryAug 29 1996An analysis of the temperature dependence of the leading contributions to the gluon condensate for SU(N) lattice gauge theory is presented using the data from recent Monte Carlo simulations. The gluon condensate is calculated directly from the new lattice ... More

A Kleiman-Bertini Theorem for sheaf tensor productsJan 10 2006Feb 08 2007Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that, for elements g in a dense open subset of G, the sheaf Tor_i^X(E, g F) vanishes for all i > 0. When E and F are structure sheaves ... More

Motion of Confined ParticlesAug 15 2016Dec 05 2017We carry out numerical evaluations of the motion of classical particles in Minkowski Space $\mathbb{M}^{4}$ which are confined to the inside of a bag. In particular, we analyze the structure of the paths evolving from the breaking of the dilatation symmetry, ... More

Confining forcesJan 06 2015Jan 06 2016We discuss the forces on the internal constituents of the hadrons based on the bag model. The ground state of the hadrons forms a color singlet so that the effects of the colored internal states are neutralized. From the breaking of the dilatation and ... More

Motion of Confined ParticlesAug 15 2016We carry out numerical evaluations of the motion of classical particles in Minkowski Space $\mathbb{M}^{4}$ which are confined to the inside of a bag. In particular, we analyze the structure of the paths evolving from the breaking of the dilatation symmetry, ... More

A unitary test of the Ratios ConjectureSep 27 2009Jan 22 2010The Ratios Conjecture of Conrey, Farmer and Zirnbauer predicts the answers to numerous questions in number theory, ranging from n-level densities and correlations to mollifiers to moments and vanishing at the central point. The conjecture gives a recipe ... More

Sums and differences of correlated random setsJan 12 2014Many fundamental questions in additive number theory (such as Goldbach's conjecture, Fermat's last theorem, and the Twin Primes conjecture) can be expressed in the language of sum and difference sets. As a typical pair of elements contributes one sum ... More

Dynamics and thermodynamics of decay in charged clustersApr 01 2015We propose a method for quantifying charge-driven instabilities in clusters, based on equilibrium simulations under confinement at constant external pressure. This approach makes no assumptions about the mode of decay and allows different clusters to ... More

Jet substructure and probes of CP violation in Vh productionSep 18 2014Apr 15 2015We analyse the hVV (V = W, Z) vertex in a model independent way using Vh production. To that end, we consider possible corrections to the Standard Model Higgs Lagrangian, in the form of higher dimensional operators which parametrise the effects of new ... More

Generalizing Zeckendorf's Theorem to f-decompositionsSep 22 2013A beautiful theorem of Zeckendorf states that every positive integer can be uniquely decomposed as a sum of non-consecutive Fibonacci numbers $\{F_n\}$, where $F_1 = 1$, $F_2 = 2$ and $F_{n+1} = F_n + F_{n-1}$. For general recurrences $\{G_n\}$ with non-negative ... More

Structure and stability of charged clustersMay 15 2012When a cluster or nanodroplet bears charge, its structure and thermodynamics are altered and, if the charge exceeds a certain limit, the system becomes unstable with respect to fragmentation. Some of the key results in this area were derived by Rayleigh ... More

Sets Characterized by Missing Sums and Differences in Dilating PolytopesJun 09 2014Jun 10 2014A sum-dominant set is a finite set $A$ of integers such that $|A+A| > |A-A|$. As a typical pair of elements contributes one sum and two differences, we expect sum-dominant sets to be rare in some sense. In 2006, however, Martin and O'Bryant showed that ... More

Constraining top quark effective theory in the LHC Run II eraDec 10 2015Jul 04 2018We perform an up-to-date global fit of top quark effective theory to experimental data from the Tevatron, and from LHC Runs I and II. Experimental data includes total cross-sections up to 13 TeV, as well as differential distributions, for both single ... More

Constraining top quark effective theory in the LHC Run II eraDec 10 2015Apr 11 2016We perform an up-to-date global fit of top quark effective theory to experimental data from the Tevatron, and from LHC Runs I and II. Experimental data includes total cross-sections up to 13 TeV, as well as differential distributions, for both single ... More

A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport: The Anderson Impurity ModelDec 11 2012We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides accurate results ... More

The Outer Limits of Galaxy Clusters: Observations to the Virial Radius with Suzaku, XMM, and ChandraNov 30 2011The outskirts of galaxy clusters, near the virial radius, remain relatively unexplored territory and yet are vital to our understanding of cluster growth, structure, and mass. In this presentation, we show the first results from a program to constrain ... More

Newman's conjecture, zeros of the L-functions, function fieldsNov 08 2014Nov 12 2014De Bruijn and Newman introduced a deformation of the completed Riemann zeta function $\zeta$, and proved there is a real constant $\Lambda$ which encodes the movement of the nontrivial zeros of $\zeta$ under the deformation. The Riemann hypothesis is ... More

Irrationality measure and lower bounds for pi(x)Sep 13 2007Dec 22 2014In this note we show how the irrationality measure of $\zeta(s) = \pi^2/6$ can be used to obtain explicit lower bounds for $\pi(x)$. We analyze the key ingredients of the proof of the finiteness of the irrationality measure, and show how to obtain good ... More

A Census of Baryons and Dark Matter in an Isolated, Milky Way-sized Elliptical GalaxyOct 28 2010Jan 05 2011We present a study of the dark and luminous matter in the isolated elliptical galaxy NGC720, based on deep X-ray observations made with Chandra and Suzaku. The gas is reliably measured to ~R2500, allowing us to place good constraints on the enclosed mass ... More

Constructing families of moderate-rank elliptic curves over number fieldsMar 28 2015Sep 21 2015We generalize a construction of families of moderate rank elliptic curves over $\mathbb{Q}$ to number fields $K/\mathbb{Q}$. The construction, originally due to Steven J. Miller, \'Alvaro Lozano-Robledo and Scott Arms, invokes a theorem of Rosen and Silverman ... More

Early Real-time Estimation of Infectious Disease Reproduction NumberMay 06 2009Feb 07 2012When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a reliable estimate ... More

An MRI-Derived Definition of MCI-to-AD Conversion for Long-Term, Automati c Prognosis of MCI PatientsApr 28 2011Alzheimer's disease (AD) and mild cognitive impairment (MCI), continue to be widely studied. While there is no consensus on whether MCIs actually "convert" to AD, the more important question is not whether MCIs convert, but what is the best such definition. ... More

Constructing families of moderate-rank elliptic curves over number fieldsMar 28 2015Jun 03 2017We generalize a construction of families of moderate rank elliptic curves over $\mathbb{Q}$ to number fields $K/\mathbb{Q}$. The construction, originally due to Steven J. Miller, \'Alvaro Lozano-Robledo and Scott Arms, invokes a theorem of Rosen and Silverman ... More

Crescent configurationsSep 24 2015In 1989, Erd\H{o}s conjectured that for a sufficiently large $n$ it is impossible to place $n$ points in general position in a plane such that for every $1\le i \le n-1$ there is a distance that occurs exactly $i$ times. For small $n$ this is possible ... More