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Recurrence required to capture the dynamic computations of the human ventral visual streamMar 14 2019The visual system is an intricate network of brain regions that enables us to recognize the world around us. Despite its abundant lateral and feedback connections, human object processing is commonly viewed and studied as a feedforward process. Here, ... More

Dance Hit Song PredictionMay 17 2019Record companies invest billions of dollars in new talent around the globe each year. Gaining insight into what actually makes a hit song would provide tremendous benefits for the music industry. In this research we tackle this question by focussing on ... More

Sums-of-Squares Formulas over Algebraically Closed FieldsOct 19 2015Oct 31 2016In this paper, we consider whether existence of a sums-of-squares formula depends on the base field. We reformulate the question of existence as a question in algebraic geometry. We show that, for large enough p, existence of sums-of-squares formulas ... More

Characterization of NIP theories by ordered graph-indiscerniblesJun 25 2011Jun 28 2011We generalize the Unstable Formula Theorem characterization of stable theories from \citep{sh78}: that a theory $T$ is stable just in case any infinite indiscernible sequence in a model of $T$ is an indiscernible set. We use a generalized form of indiscernibles ... More

Equivariant constrained Willmore tori in the 3-sphereNov 17 2012May 15 2014In this paper we study equivariant constrained Willmore tori in the 3-sphere. These tori admit a 1-parameter group of M\"obius symmetries and are critical points of the Willmore energy under conformal variations. We show that the associated spectral curve ... More

Indiscernibles, EM-types, and Ramsey Classes of TreesAug 14 2012Jan 05 2014It was shown in \cite{sc12} that for a certain class of structures $\I$, $\I$-indexed indiscernible sets have the modeling property just in case the age of $\I$ is a Ramsey class. We expand this known class of structures from ordered structures in a finite ... More

A Constraint Propagation Algorithm for Sums-of-Squares Formulas over the IntegersOct 11 2018Sums-of-squares formulas over the integers have been studied extensively using their equivalence to consistently signed intercalate matrices. This representation, combined with combinatorial arguments, has been used to produce sums-of-squares formulas ... More

Ramsey Transfer to ReductsJun 17 2017Apr 12 2018We introduce a notion weaker than an infinitary interpretation which we call a semi-retraction. We say a countable structure has the Ramsey property if its age does. For a countable structure $B$ with the Ramsey property we show a countable semi-retraction ... More

Dirac ToriJan 29 2014We consider conformal immersions $f: T^2\rightarrow \mathbb{R}^3$ with the property that $H^2 f^*g_{\mathbb{R}^3}$ is a flat metric. These so called Dirac tori have the property that its Willmore energy is uniformly distributed over the surface and can ... More

Constrained Willmore and CMC tori in the 3-sphereDec 10 2012Constrained Willmore surfaces are critical points of the Willmore functional under conformal variations. As shown in [5] one can associate to any conformally immersed constrained Willmore torus f a compact Riemann surface \Sigma, such that f can be reconstructed ... More

Constrained Willmore Tori and Elastic Curves in 2-Dimensional Space FormsMar 06 2013May 15 2014In this paper we consider two special classes of constrained Willmore tori in the 3-sphere. The first class is given by the rotation of closed elastic curves in the upper half plane - viewed as the hyperbolic plane - around the x-axis. The second is given ... More

Yates's MWSM SS in the General Linear ModelAug 28 2017In 1934, F. Yates described a sum of squares for testing factor main effects in saturated unbalanced models for effects of two factors. He claimed no particular properties of this sum of squares other than that it provided an "efficient estimate of the ... More

Limits of Yang-Mills α-connectionsMay 17 2017In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps, we identify Yang-Mills connections obtained by approximations with respect to the Yang-Mills {\alpha}-energy. More specifically, we show that for the SU(2) Hopf ... More

Abelianization of Fuchsian Systems on a 4-punctured sphere and applicationsApr 30 2014Apr 06 2015In this paper we consider special linear Fuchsian systems of rank $2$ on a $4-$punctured sphere and the corresponding parabolic structures. Through an explicit abelianization procedure we obtain a $2-$to$-1$ correspondence between flat line bundle connections ... More

Categorical Constructions and the Ramsey PropertyJun 02 2015Nov 24 2015It has become obvious in the recent development that the structural Ramsey property is a categorical property: it depends not only on the choice of objects, but also on the choice of morphisms involved. In this paper we explicitely put the Ramsey property ... More

Deconstructing Type IIIAug 22 2017SAS introduced Type III methods to address difficulties in dummy-variable models for effects of multiple factors and covariates. Type III methods are widely used in practice; they are the default method in many statistical computing packages. Type III ... More

Radio Stars: from kHz to THzJul 25 2018Oct 12 2018Advances in technology and instrumentation have now opened up virtually the entire radio spectrum to the study of stars. An international workshop "Radio Stars: from kHz to THz" was held at the Massachusetts Institute of Technology Haystack Observatory ... More

Green's Function Monte Carlo Calculations with Two- and Three-Nucleon Interactions from Chiral Effective Field TheorySep 17 2015I discuss our recent work on Green's function Monte Carlo (GFMC) calculations of light nuclei using local nucleon-nucleon interactions derived from chiral effective field theory (EFT) up to next-to-next-to-leading order (N$^2$LO). I present the natural ... More

Questions and Physical Reality -Simple Philosophical considerations-Aug 01 2006We argue, through some philosophical considerations, on (i)dependent or (ii) an independent existence of physical reality underlying quantum states. According these simple considerations, we conclude that is impossible to have a clear independent existence ... More

Liquid Phases in SU(3) Chiral Perturbation Theory: Drops of Strange Chiral Nucleon Liquid & Ordinary Chiral Heavy Nuclear LiquidMay 12 2010Chiral SU(3) Perturbation Theory (SU3XPT) identifies hadrons as the building blocks of strongly interacting matter at low densities and temperatures. We show that it admits two co-existing chiral nucleon liquid phases at zero external pressure with well-defined ... More

Higher order Yang-Mills flowMay 26 2015We define a family of functionals generalizing the Yang-Mills functional. We study the corresponding gradient flows and prove long-time existence and convergence results for subcritical dimensions as well as a bubbling criterion for the critical dimensions. ... More

Censors' Delay in Blocking Circumvention ProxiesMay 27 2016Jul 20 2016Censors of the Internet must continually discover and block new circumvention proxy servers. We seek to understand this process; specifically, the length of the delay between when a proxy first becomes discoverable and when it is actually blocked. We ... More

Yates's and Other Sums of SquaresSep 28 2016It is shown that the sum of squares by Yates's method of weighted squares of means is equivalent to numerator sums of squares formulated by other methods. These relations are established first for hypotheses about fixed effects in a general linear model, ... More

Macroscopic Flow Potentials in Swelling Porous MediaMay 06 2011In swelling porous media, the potential for flow is much more than pressure, and derivations for flow equations have yielded a variety of equations. In this paper we show that the macroscopic flow potentials are the electro-chemical potentials of the ... More

Quantum Formalism: Brief Epistemological ConsiderationsOct 26 2006We argue about a conceptual approach to quantum formalism. Starting from philosophical conjectures (Platonism, Idealism and Realism) as basic ontic elements (namely: math world, data world, and state of matter), we will analyze the quantum superposition ... More

Spontaneously broken Standard Model (SM) symmetries and the Goldstone theorem protect the Higgs mass and ensure that it has no Higgs Fine Tuning Problem (HFTP)Jun 30 2011Aug 08 2012B.W.Lee/K.Symanzik proved that Ward-Takahashi identities and tadpole renormalization force all ultra-violet quadratic divergences (UV-QD) to be absorbed into the physical renormalized pseudo-scalar pion mass in O(4)LSM (linear sigma models) across the ... More

A Formula for Type III Sums of SquaresMar 29 2018Type III methods were introduced by SAS to address difficulties in dummy-variable models for effects of multiple factors and covariates. They are widely used in practice; they are the default method in several statistical computing packages. Type III ... More

Spectral Brilliance of Channeling Radiation at the ASTA PhotoinjectorJul 22 2014Nov 19 2014We study channeling radiation from electron beams with energies under 100 MeV. We introduce a phenomenological model of dechanneling, correct non-radiative transition rates from thermal scattering, and discuss in detail the population dynamics in low ... More

Higher solutions of Hitchin's self-duality equationsJan 08 2018Mar 07 2018Solutions of Hitchin's self-duality equations corresponds to special real sections in the Deligne-Hitchin moduli space -- twistor lines. A question posed by Simpson in 1997 asks whether all real sections give rise to global solutions of the self-duality ... More

Physical Realities from Simple Philosophical ConjecturesAug 21 2006We will focus on the Quantum theory and starting from simple philosophical conjectures, we infer possible different physical realities. Also we argue of possible wavefunction emerging under specific conditions of the physical reality. Finally, we affirm ... More

Quantum Mechanics: 44 Admissible Questions? -Not only Fapp-Jun 05 2006The words: determinism, hidden variables, subjectivism, information, objectivism, informational-theoretic axioms,observers have some connection with physical reality? What we mean with "description" of physical reality? When we say that we understand ... More

Radio Stars and Their Lives in the GalaxyJan 29 2013Feb 26 2013This paper summarizes the three-day international workshop "Radio Stars and Their Lives in the Galaxy", held at the Massachusetts Institute of Technology Haystack Observatory on 2012 October 3-5. The workshop was organized to provide a forum for the presentation ... More

Symplectic curvature flow revisitedAug 28 2018We continue studying a parabolic flow of almost K\"{a}hler structures introduced by Streets and Tian which naturally extends K\"{a}hler-Ricci flow onto symplectic manifolds. In the system of primarily the symplectic form, almost complex structure, Chern ... More

Towards a constrained Willmore conjectureMay 09 2017We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures would lead to a deeper understanding of the Willmore functional over conformal ... More

Maximizing Influence in an Ising Network: A Mean-Field Optimal SolutionAug 24 2016The problem of influence maximization in social networks has typically been studied in the context of contagion models and irreversible processes. In this paper, we consider an alternate model that treats individual opinions as spins in an Ising network ... More

Optimally Influencing Complex Ising SystemsSep 29 2016In the study of social networks, a fundamental problem is that of influence maximization (IM): How can we maximize the collective opinion of individuals in a network given constrained marketing resources? Traditionally, the IM problem has been studied ... More

First explicit constrained Willmore minimizers of non-rectangular conformal classOct 02 2017Feb 25 2019We study immersed tori in $3$-space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal classes $\;(0,b)\;$ with $\;b \sim 1\;$ the homogenous tori $\;f^b\;$ are known to be the unique constrained Willmore ... More

Private Information Retrieval using Product-Matrix Minimum Storage Regenerating CodesMay 18 2018Private Information Retrieval (PIR) schemes allow a user to retrieve a record from the server without revealing any information on which record is being downloaded. In this paper, we consider PIR schemes where the database is stored using Minimum Storage ... More

Multi-Message Private Information Retrieval using Product-Matrix MSR and MBR CodesAug 06 2018Multi-message private information retrieval (MPIR) is an interesting variation of PIR which allows a user to download multiple messages from the database without revealing the identity of the desired messages. Obviously, the user can repeatly use a single-message ... More

Maximizing Influence in an Ising Network: A Mean-Field Optimal SolutionAug 24 2016Feb 19 2017Influence maximization in social networks has typically been studied in the context of contagion models and irreversible processes. In this paper, we consider an alternate model that treats individual opinions as spins in an Ising system at dynamic equilibrium. ... More

Neutron Studies of the Iron-based Family of High TC Magnetic SuperconductorsFeb 01 2009Feb 09 2009We review neutron scattering investigations of the crystal structures, magnetic structures, and spin dynamics of the iron-based RFe(As,P)O (R=La, Ce, Pr, Nd), (Ba,Sr,Ca)Fe2As2, and Fe1+x(Te-Se) systems. On cooling from room temperature all the undoped ... More

First Resolved Images of the Mira AB Symbiotic Binary at Centimeter WavelengthsDec 07 2005We report the first spatially resolved radio continuum measurements of the Mira AB symbiotic binary system, based on observations obtained with the Very Large Array (VLA). This is the first time that a symbiotic binary has been resolved unambiguously ... More

Entropy, Stability, and Yang-Mills flowOct 16 2014Following work of Colding-Minicozzi, we define a notion of entropy for connections over $\mathbb R^n$ which has shrinking Yang-Mills solitons as critical points. As in Colding-Minicozzi, this entropy is defined implicitly, making it difficult to work ... More

Singularity formation of the Yang-Mills flowFeb 09 2016We study singularity structure of Yang-Mills flow in dimensions $n \geq 4$. First we obtain a description of the singular set in terms of concentration for a localized entropy quantity, which leads to an estimate of its Hausdorff dimension. We develop ... More

Unravelling the mystery of the M31 barMay 03 2006May 17 2006The inclination of M31 is too close to edge-on for a bar component to be easily recognised and is not sufficiently edge-on for a boxy/peanut bulge to protrude clearly out of the equatorial plane. Nevertheless, a sufficient number of clues allow us to ... More

Expectations in Incremental Discourse ProcessingAug 05 1997The way in which discourse features express connections back to the previous discourse has been described in the literature in terms of adjoining at the right frontier of discourse structure. But this does not allow for discourse features that express ... More

Candidates for non-rectangular constrained Willmore minimizersFeb 25 2019For every $\;b \sim 1,$$b \neq1\;$ fixed, we explicitly construct a $1$-dimensional family of putative constrained Willmore minimizers parametrized by their conformal class $\;(a,b) \sim (0,1).\;$ Indeed we show in \cite{HelNdi1} that these candidates ... More

First explicit constrained Willmore minimizers of non-rectangular conformal classOct 02 2017Feb 21 2018We study immersed tori in $3$-space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal classes $\;(0,b)\;$ with $\;b \sim 1\;$ the homogenous tori $\;f^b\;$ are known to be the unique constrained Willmore ... More

Revisiting the Diffusion Problem in a Capillary Tube GeometryJul 05 2012Mar 12 2013The present work revisits the problem of modeling diffusion above a stagnant liquid interface in a capillary tube geometry. In this revisitation we elucidate a misconception found in the classical model proposed by Bird et. al. Furthermore, we propose ... More

Revisiting the role of the $(n,γf)$ process in the low-energy fission of $^{235}$U and $^{239}$PuDec 15 2017Apr 19 2018The $(n,\gamma f)$ process is reviewed in light of modern nuclear reaction calculations in both slow and fast neutron-induced fission reactions on $^{235}$U and $^{239}$Pu. Observed fluctuations of the average prompt fission neutron multiplicity and average ... More

Maximal LELM Distinguishability of Qubit and Qutrit Bell States Using Projective and Non-Projective MeasurementsMar 06 2019Numerous quantum information protocols make use of maximally entangled two-particle states, or Bell states, in which information is stored in the correlations between the two particles rather than their individual properties. Retrieving information stored ... More

Entropy, stability, and harmonic map flowJun 24 2015Inspired by work of Colding-Minicozzi on mean curvature flow, Zhang introduced a notion of entropy stability for harmonic map flow. We build further upon this work in several directions. First we prove the equivalence of entropy stability with a more ... More

Stability properties of 2-lobed Delaunay tori in the 3-sphereMar 28 2019We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.

Tree indiscernibilities, revisitedNov 03 2011Dec 15 2013We give definitions that distinguish between two notions of indiscernibility for a set $\{a_\eta \mid \eta \in \W\}$ that saw original use in \cite{sh90}, which we name \textit{$\s$-} and \textit{$\n$-indiscernibility}. Using these definitions and detailed ... More

The physics of brain network structure, function, and controlSep 17 2018Jan 07 2019The brain is a complex organ characterized by heterogeneous patterns of structural connections supporting unparalleled feats of cognition and a wide range of behaviors. New noninvasive imaging techniques now allow these patterns to be carefully and comprehensively ... More

Maximal LELM Distinguishability of Qubit and Qutrit Bell States Using Projective and Non-Projective MeasurementsMar 06 2019Apr 05 2019Numerous quantum information protocols make use of maximally entangled two-particle states, or Bell states, in which information is stored in the correlations between the two particles rather than their individual properties. Retrieving information stored ... More

Exploring the space of compact symmetric CMC surfacesMar 26 2015Feb 14 2017We map out the moduli space of Lawson symmetric constant mean curvature surfaces in the 3-sphere of genus $g>1$ by flowing numerically from Delaunay tori with even lobe count via the generalized Whitham flow.

Exploring the space of compact symmetric CMC surfacesMar 26 2015We map out the moduli space of Lawson symmetric constant mean curvature surfaces in the 3-sphere of genus $g>1$ by flowing numerically from Delaunay tori with even lobe count via the generalized Whitham flow.

Schottky Algorithms: Classical meets TropicalJul 26 2017We present a new perspective on the Schottky problem that links numerical computing with tropical geometry. The task is to decide whether a symmetric matrix defines a Jacobian, and, if so, to compute the curve and its canonical embedding. We offer solutions ... More

Operator splitting schemes for the two-asset Merton jump-diffusion modelJan 12 2019This paper deals with the numerical solution of the two-dimensional time-dependent Merton partial integro-differential equation (PIDE) for the values of rainbow options under the two-asset Merton jump-diffusion model. Key features of this well-known equation ... More

Nuclides as a liquid phase of $SU(2)_L \times SU(2)_R$ chiral perturbation theory I: emergence of pion-less SU(2) $χ$ PTNov 27 2018The Standard Model of particle physics, augmented with neutrino mixing, is at least very nearly the complete theory of interactions of known particles at energies accessible to Nature on Earth. Candidate effective theories of nuclear structure must therefore ... More

Schottky Algorithms: Classical meets TropicalJul 26 2017Sep 30 2018We present a new perspective on the Schottky problem that links numerical computing with tropical geometry. The task is to decide whether a symmetric matrix defines a Jacobian, and, if so, to compute the curve and its canonical embedding. We offer solutions ... More

Anchoring a Lexicalized Tree-Adjoining Grammar for DiscourseJun 24 1998We here explore a ``fully'' lexicalized Tree-Adjoining Grammar for discourse that takes the basic elements of a (monologic) discourse to be not simply clauses, but larger structures that are anchored on variously realized discourse cues. This link with ... More

The spectral curve theory for $(k,l)-$symmetric CMC surfacesMar 03 2015Mar 17 2015Constant mean curvature surfaces in $S^3$ can be studied via their associated family of flat connections. In the case of tori this approach has led to a deep understanding of the moduli space of all CMC tori. For compact CMC surfaces of higher genus the ... More

Global $SU(3)_C x SU(2)_L x U(1)_Y$ linear sigma model with Standard Model quarks and leptons, and Dirac neutrinos: axial-vector Ward Takahashi identities and decoupling of certain heavy particles due to the Goldstone theoremSep 21 2015Aug 14 2016This work is dedicated to the memory of R. Stora. In the Linear Sigma Model (LSM), towers of Ward-Takahashi Identities (WTI) relate both 1-Scalar-Particle-Irreducible Green's functions and I-SP-Reducible T-Matrix elements for external scalars (a doublet ... More

Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon PotentialsMay 31 2012Jul 26 2012Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, ... More

Clues on the Structure and Composition of Galactic Disks from Studies of "Superthin" Spirals: the Case of UGC3697Dec 15 2004We summarize results from an HI+optical imaging study of the ``Integral Sign'' galaxy, UGC3697. UGC3697 is a low-mass, Sd spiral that exhibits a ``superthin'' disk morphology despite a prounced gasous and stellar warp. Our new observations show evidence ... More

VLA Observations of HI in the Circumstellar Envelopes of AGB StarsDec 18 2006We present the results of a VLA search for HI emission in the circumstellar envelopes of five nearby AGB stars: RS Cnc, IRC+10216, EP Aqr, R Cas, and R Aqr. We have detected emission coincident in both position and velocity with RS Cnc, implying that ... More

B and V CCD Photometry of Southern, Extreme Late-Type Spiral GalaxiesSep 15 1997We present B and V CCD aperture photometry for a morphologically-selected sample of forty-nine southern, extreme late-type spiral galaxies. All objects are moderate-to-low surface brightness Local Supercluster field galaxies that were detected previously ... More

Bounded gaps between primes in special sequencesJul 07 2014We use Maynard's methods to show that there are bounded gaps between primes in the sequence $\{\lfloor n\alpha\rfloor\}$, where $\alpha$ is an irrational number of finite type. In addition, given a superlinear function $f$ satisfying some properties described ... More

Active Learning for Out-of-class Activities by Using Interactive Mobile AppsApr 20 2018Keeping students engaged with the course content outside the classroom is a challenging task. Since learning during undergraduate years occurs not only as student engagement in class, but also during out of class activities, we need to redesign and reinvent ... More

Navigating the Space of Symmetric CMC SurfacesJan 08 2015Jan 08 2018In this paper we introduce a flow on the spectral data for symmetric CMC surfaces in the $3$-sphere. The flow is designed in such a way that it changes the topology but fixes the intrinsic (metric) and certain extrinsic (periods) closing conditions of ... More

From Curves to Tropical Jacobians and BackJan 12 2017Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizing the curve, and then computing the Jacobian of the resulting weighted ... More

Navigating the Space of Symmetric CMC SurfacesJan 08 2015Jan 26 2015In this paper we introduce a flow on the spectral data for symmetric CMC surfaces in the $3$-sphere. The flow is designed in such a way that it changes the topology but fixes the intrinsic (metric) and certain extrinsic (periods) closing conditions of ... More

HI Imaging Observations of Superthin Galaxies. II. IC2233 and the Blue Compact Dwarf NGC2537Sep 26 2007We have used the VLA to image the HI 21-cm line emission in the edge-on Sd galaxy IC2233 and the blue compact dwarf NGC2537. We also present new optical B,R, and H alpha imaging of IC2233 obtained with the WIYN telescope. Despite evidence of localized ... More

Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized IndiscerniblesNov 23 2015We use the notion of collapse of generalized indiscernible sequences to classify various model theoretic dividing lines. In particular, we use collapse of n-multi-order indiscernibles to characterize op-dimension n; collapse of function-space indiscernibles ... More

Functional repair codes: a view from projective geometrySep 21 2018Storage codes are used to ensure reliable storage of data in distributed systems. Here we consider functional repair codes, where individual storage nodes that fail may be repaired efficiently and the ability to recover original data and to further repair ... More

Detecting Censor DetectionSep 25 2017Our goal is to empirically discover how censors react to the introduction of new proxy servers that can be used to circumvent their information controls. We examine a specific case, that of obfuscated Tor bridges, and conduct experiments designed to discover ... More

Rectangular constrained Willmore minimizers and the Willmore conjectureJan 17 2019Feb 05 2019We show that the well-known family of $2$-lobed Delaunay tori $\;f^b\;$ in $\;S^3,\;$ parametrized by $\;b \in \mathbb R_{\geq1},\;$ uniquely minimizes the Willmore energy among all immersions from tori into $3$-space of conformal class $\;(a, b)\;$. ... More

VLA Observations of HI in the Circumstellar Envelopes of Asymptotic Giant Branch StarsJan 09 2007(Abridged) We have used the VLA to search for neutral atomic hydrogen in the circumstellar envelopes of five AGB stars. We have detected HI 21-cm emission coincident in both position and velocity with the semi-regular variable RS Cnc. The emission comprises ... More

Theoretical Evaluations of the Fission Cross Section of the 77 eV Isomer of 235-USep 14 2002We have developed models of the fission barrier (barrier heights and transition state spectra) that reproduce reasonably well the measured fission cross section of $^{235}$U from neutron energy of 1 keV to 2 MeV. From these models we have calculated the ... More

Maximizing Activity in Ising Networks via the TAP ApproximationFeb 28 2018Apr 17 2018A wide array of complex biological, social, and physical systems have recently been shown to be quantitatively described by Ising models, which lie at the intersection of statistical physics and machine learning. Here, we study the fundamental question ... More

Development of non-equilibrium Green's functions for use with full interaction in complex systemsNov 09 2015Feb 05 2016We present an ongoing development of an existing code for calculating ground-state, steady-state, and transient properties of many-particle systems. The development involves the addition of the full four-index two electron integrals, which allows for ... More

A conformally invariant gap theorem in Yang-Mills theoryAug 03 2017Nov 01 2017We show a sharp conformally invariant gap theorem for Yang-Mills connections in dimension 4 by exploiting an associated Yamabe-type problem.

On cycles of pairing-friendly elliptic curvesMar 06 2018Nov 02 2018A cycle of elliptic curves is a list of elliptic curves over finite fields such that the number of points on one curve is equal to the size of the field of definition of the next, in a cyclic way. We study cycles of elliptic curves in which every curve ... More

The Goldstone theorem protects naturalness, and the absence of Brout-Englert-Higgs fine-tuning, in spontaneously broken SO(2)Jun 24 2013Nov 11 2014The Gell-Mann-Levy (GML), Schwinger and Standard Models were previously shown to lack a Brout-Englert-Higgs (BEH) fine-tuning problem due to quadratic divergences, with finite Euclidean cut-off \Lambda, because of the symmetries obeyed by all O(\Lambda^2) ... More

Hidden $U(1)_Y$ Ward-Takahashi identities in the spontaneously brokenAbelian Higgs model and the decoupling of certain heavy particles in its simple extensionsSep 22 2015Aug 14 2016This work is dedicated to the memory of R. Stora. The spontaneously broken (SSB) $U(1)_Y$ Abelian Higgs model (AHM) (the gauge theory of a scalar $\phi \propto (H+i\pi)= {\tilde H}e^{i{\tilde \pi}/<H>}$ and a transverse vector A) has a massless pseudo-scalar ... More

Global $SU(3)_C\times SU(2)_L\times U(1)_Y$ linear sigma model: axial-vector Ward Takahashi identities, and decoupling of certain heavy BSM particles due to the Goldstone theoremSep 21 2015Jul 15 2017Dedicated to the memory of Raymond Stora (1930-2015). In the $SU(2)_L\times SU(2)_R$ Linear Sigma Model with PCAC, towers of Ward-Takahashi Identities (WTI) have long been known to give relations among 1-Scalar-Particle-Irreducible Green's functions, ... More

Global $U(1)_Y$xBRST symmetry and the LSS theorem: Ward-Takahashi identities governing Green's functions, on-shell T-Matrix elements, and the effective potential, in the spontaneously broken extended Abelian Higgs modelSep 21 2015Jan 08 2018The weak-scale U(1) Abelian Higgs Model (AHM) is the simplest spontaneous symmetry breaking (SSB) gauge theory. The extended AHM (E-AHM) adds certain heavy scalars $\Phi$ and fermions $\psi$. In Lorenz gauge, these theories have a global U(1) conserved ... More

Isothermic constrained Willmore tori in 3-spaceMar 28 2019We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below $8\pi$. In particular, every constrained Willmore torus with Willmore energy below $8\pi$ ... More

Science with an ngVLA: Evolved StarsOct 15 2018This chapter reviews some of the expected contributions of the ngVLA to the understanding of the late evolutionary stages of low-to-intermediate mass stars, including asymptotic giant branch (AGB) stars, post-AGB stars, and pre-planetary nebulae. Such ... More

Short Range Correlations and the EMC Effect in Effective Field TheoryJul 11 2016We show that the empirical linear relation between the magnitude of the EMC effect in deep inelastic scattering on nuclei and the short range correlation scaling factor $a_2$ extracted from high-energy quasi-elastic scattering at $x\ge 1$ is a natural ... More

A Combinatorial Model of Interference in Frequency Hopping SchemesAug 11 2015In a frequency hopping multiple access (FHMA) system a set of users communicate simultaneously using frequency hopping sequences defined on the same set of frequency channels. A frequency hopping sequence specifies which channels to use as communication ... More

An Image Dataset of Text Patches in Everyday ScenesOct 20 2016This paper describes a dataset containing small images of text from everyday scenes. The purpose of the dataset is to support the development of new automated systems that can detect and analyze text. Although much research has been devoted to text detection ... More

Controlling a Telescope Chopping Secondary Mirror Assembly Using a Signal Deconvolution TechniqueNov 18 2003We describe a technique for improving the response of a telescope chopping secondary mirror assembly by using a signal processing method based on the Lucy deconvolution technique. This technique is general and could be used for any systems, linear or ... More

NEW INSIGHTS INTO NON-RADIATIVE HEATING IN LATE-A STAR CHROMOSPHERESJan 19 1995Using new and archival spectra from the Goddard High Resolution Spectrograph, we have searched for evidence of chromospheric and transition region emission in six stars of mid- to late-A spectral type. Two of the stars, alpha Aql (A7 IV-V) and alpha Cep ... More

Discriminating sample groups with multi-way dataJun 26 2016High-dimensional linear classifiers, such as the support vector machine (SVM) and distance weighted discrimination (DWD), are commonly used in biomedical research to distinguish groups of subjects based on a large number of features. However, their use ... More

Estimating the Energetic State of Malignant Cells from RNA Transcription and Protein Interaction Network DataFeb 24 2014May 31 2015Gene expression data, or transcription data, are surrogates for actual protein concentrations in the cells. In addition protein-protein interactions are static diagrams of all the protein-protein interactions in the cell. These interactions may consist ... More

Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock modelNov 27 2014Dec 15 2014We give an alternate proof of the existence of the asymptotic expansion of the Bergman kernel associated to the $k$-th tensor powers of a positive line bundle $L$ in a $\frac{1}{\sqrt{k}}$-neighborhood of the diagonal using elementary methods. We use ... More

Spin-valve effect and magnetoresistivity in single crystalline Ca3Ru2O7Feb 05 2008The laminar perovskite Ca3Ru2O7 naturally forms ferromagnetic double-layers of alternating moment directions, as in the spin-valve superlattices. The mechanism of huge magnetoresistive effect in the material has been controversial due to a lack of clear ... More