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A 3D Probabilistic Deep Learning System for Detection and Diagnosis of Lung Cancer Using Low-Dose CT ScansFeb 08 2019We introduce a new end-to-end computer aided detection and diagnosis system for lung cancer screening using low-dose CT scans. Our system is based on 3D convolutional neural networks and achieves state-of-the-art performance for both lung nodule detection ... More

Learning to Repair Software Vulnerabilities with Generative Adversarial NetworksMay 18 2018Oct 28 2018Motivated by the problem of automated repair of software vulnerabilities, we propose an adversarial learning approach that maps from one discrete source domain to another target domain without requiring paired labeled examples or source and target domains ... More

Automated Vulnerability Detection in Source Code Using Deep Representation LearningJul 11 2018Nov 28 2018Increasing numbers of software vulnerabilities are discovered every year whether they are reported publicly or discovered internally in proprietary code. These vulnerabilities can pose serious risk of exploit and result in system compromise, information ... More

On multiplicities of maximal weights of $\hat{sl}(n)$-modulesSep 19 2013We determine explicitly the maximal dominant weights for the integrable highest weight $\hat{sl}(n)$-modules $V((k-1)\Lambda_0 + \Lambda_s)$, $0 \leq s \leq n-1$, $ k \geq 2$. We give a conjecture for the number of maximal dominant weights of $V(k\Lambda_0)$ ... More

Lattice Paths, Young Tableaux, and Weight MultiplicitiesAug 27 2015For $\ell \geq 1$ and $k \geq 2$, we consider certain admissible sequences of $k-1$ lattice paths in a colored $\ell \times \ell$ square. We show that the number of such admissible sequences of lattice paths is given by the sum of squares of the number ... More

Real-Time Object Pose Estimation with Pose Interpreter NetworksAug 03 2018In this work, we introduce pose interpreter networks for 6-DoF object pose estimation. In contrast to other CNN-based approaches to pose estimation that require expensively annotated object pose data, our pose interpreter network is trained entirely on ... More

Discovery of a z = 7.452 High Equivalent Width Lyman-α Emitter from the Hubble Space Telescope Faint Infrared Grism SurveyDec 15 2017We present the results of an unbiased search for Ly{\alpha} emission from continuum-selected 6 < z < 8 galaxies. Our dataset consists of 160 orbits of G102 slitless grism spectroscopy obtained with the Hubble Space Telescope (HST) Wide Field Camera 3 ... More

A new approach for detecting scientific specialties from raw cocitation networksJul 30 2008We use a technique recently developed by Blondel et al. (2008) in order to detect scientific specialties from author cocitation networks. This algorithm has distinct advantages over most of the previous methods used to obtain cocitation "clusters", since ... More

Comment on "On the proper behavior of atoms" by Paul AnglinSep 13 2013Paul Anglin criticised our analysis of the neoclassical theory of the firm, but makes a number of incorrect assertions about our assumptions. We correct these misunderstandings, but acknowledge that one criticism he makes is correct. We correct this flaw ... More

Automated software vulnerability detection with machine learningFeb 14 2018Aug 02 2018Thousands of security vulnerabilities are discovered in production software each year, either reported publicly to the Common Vulnerabilities and Exposures database or discovered internally in proprietary code. Vulnerabilities often manifest themselves ... More

Investigation of the asteroid-neutron star collision model for the repeating fast radio burstsFeb 14 2019The origin of fast radio bursts (FRBs) is still a mystery. One model proposed to interpret the only known repeating object, FRB 121102, is that the radio emission is generated from asteroids colliding with a highly magnetized neutron star (NS). With N-body ... More

Rationality in the Theory of the FirmJan 18 2011We have previously presented a critique of the standard Marshallian theory of the firm, and developed an alternative formulation that better agreed with the results of simulation. An incorrect mathematical fact was used in our previous presentation. This ... More

The Distribution of Dark and Luminous Matter in the Unique Galaxy Cluster Merger Abell 2146Sep 21 2016Abell 2146 ($z$ = 0.232) consists of two galaxy clusters undergoing a major merger. The system was discovered in previous work, where two large shock fronts were detected using the $\textit{Chandra X-ray Observatory}$, consistent with a merger close to ... More

The Mass Distribution of the Unusual Merging Cluster Abell 2146 from Strong LensingSep 21 2016Abell 2146 consists of two galaxy clusters that have recently collided close to the plane of the sky, and it is unique in showing two large shocks on $\textit{Chandra X-ray Observatory}$ images. With an early stage merger, shortly after first core passage, ... More

FIGS -- Faint Infrared Grism Survey: Description and Data ReductionJun 08 2017Jun 17 2017The Faint Infrared Grism Survey (FIGS) is a deep Hubble Space Telescope (HST) WFC3/IR (Wide Field Camera 3 Infrared) slitless spectroscopic survey of four deep fields. Two fields are located in the Great Observatories Origins Deep Survey-North (GOODS-N) ... More

A Two-Dimensional Spectroscopic Study of Emission Line Galaxies in the Faint Infrared Grism Survey (FIGS) I: Detection Method and CatalogJun 05 2018Nov 09 2018We present the results from the application of a two-dimensional emission line detection method, EMission-line two-Dimensional (EM2D), to the near-infrared G102 grism observations obtained with the Wide-Field Camera 3 (WFC3) as part of the Cycle 22 {\em ... More

SegICP-DSR: Dense Semantic Scene Reconstruction and RegistrationNov 06 2017To enable autonomous robotic manipulation in unstructured environments, we present SegICP-DSR, a real- time, dense, semantic scene reconstruction and pose estimation algorithm that achieves mm-level pose accuracy and standard deviation (7.9 mm, {\sigma}=7.6 ... More

Brill-Noether-type Theorems with a Movable Ramification PointApr 29 2008The classical Brill-Noether theorems count the dimension of the family of maps from a general curve of genus g to non-degenerate curves of degree d in r-dimensional projective space. These theorems can be extended to include ramification conditions at ... More

The Adjoints of the Schur FunctorJan 14 2016Jan 20 2016We show that the left and right adjoint of the Schur functor can be expressed in terms of the monoidal structure of strict polynomial functors. Using this result we give a necessary and sufficient condition for when the tensor product of two simple strict ... More

Partizan Kayles and Misere InvertibilitySep 06 2013The impartial combinatorial game Kayles is played on a row of pins, with players taking turns removing either a single pin or two adjacent pins. A natural partizan variation is to allow one player to remove only a single pin and the other only a pair ... More

An Empirical Evaluation of Probabilistic Lexicalized Tree Insertion GrammarsAug 04 1998We present an empirical study of the applicability of Probabilistic Lexicalized Tree Insertion Grammars (PLTIG), a lexicalized counterpart to Probabilistic Context-Free Grammars (PCFG), to problems in stochastic natural-language processing. Comparing ... More

Cohomological invariants of groups of order p^3Feb 20 2015We show that the nonabelian groups of order p^3 for odd prime p have no nontrivial cohomological invariants of degree 3.

A Decreasing Stack and an Increasing Stack in SeriesJan 28 2013We study a sorting machine consisting of two stacks in series where the first stack has the added restriction such that entries in the stack must be in decreasing order from top to bottom. We give the basis of the class of permutations that are sortable ... More

An excess of damped Lyman alpha galaxies near QSOsDec 07 2005We present a sample of 33 damped Lyman alpha systems (DLAs) discovered in the Sloan Digital Sky Survey (SDSS) whose absorption redshifts (z_abs) are within 6000 km/s of the QSO's systemic redshift (z_sys). Our sample is based on 731 2.5 < z_sys < 4.5 ... More

Transport map accelerated adaptive importance sampling, and application to inverse problems arising from multiscale stochastic reaction networksJan 31 2019In many applications, Bayesian inverse problems can give rise to probability distributions which contain complexities due to the Hessian varying greatly across parameter space. This complexity often manifests itself as lower dimensional manifolds on which ... More

Approximate Dynamic Programming using Halfspace Queries and Multiscale Monge decompositionMar 25 2010Jul 03 2010Let $P=(P_1, P_2, \ldots, P_n)$, $P_i \in \field{R}$ for all $i$, be a signal and let $C$ be a constant. In this work our goal is to find a function $F:[n]\rightarrow \field{R}$ which optimizes the following objective function: $$ \min_{F} \sum_{i=1}^n ... More

Guidefill: GPU Accelerated, Artist Guided Geometric Inpainting for 3D ConversionNov 16 2016Nov 21 2016The conversion of traditional film into stereo 3D has become an important problem in the past decade. One of the main bottlenecks is a disocclusion step, which in commercial 3D conversion is usually done by teams of artists armed with a toolbox of inpainting ... More

Silicate Emission in the TW Hydrae AssociationAug 01 2000The TW Hydrae Association is the nearest young stellar association. Among its members are HD 98800, HR 4796A, and TW Hydrae itself, the nearest known classical T Tauri star. We have observed these three stars spectroscopically between 3 and 13 microns. ... More

The mixed problem in Lipschitz domains with general decompositions of the boundaryNov 07 2011This paper continues the study of the mixed problem for the Laplacian. We consider a bounded Lipschitz domain $\Omega\subset \reals^n$, $n\geq2$, with boundary that is decomposed as $\partial\Omega=D\cup N$, $D$ and $N$ disjoint. We let $\Lambda$ denote ... More

Guidefill: GPU Accelerated, Artist Guided Geometric Inpainting for 3D ConversionNov 16 2016Jul 31 2017The conversion of traditional film into stereo 3D has become an important problem in the past decade. One of the main bottlenecks is a disocclusion step, which in commercial 3D conversion is usually done by teams of artists armed with a toolbox of inpainting ... More

Testing randomness with photonsDec 06 2013Generating and characterising randomness is fundamentally important in both classical and quantum information science. Here we report the experimental demonstration of ensembles of pseudorandom optical processes comprising what are known as t-designs. ... More

Reconstructing Merger Timelines Using Star Cluster Age Distributions: the Case of MCG+08-11-002Feb 02 2016We present near infrared imaging and integral field spectroscopy of the centre of the dusty luminous infrared galaxy merger MCG+08-11-002, taken using the Near InfraRed Camera 2 (NIRC2) and the OH-Suppressing InfraRed Imaging Spectrograph (OSIRIS) on ... More

Evidence for Decay of Turbulence by MHD Shocks in Molecular Clouds via CO EmissionMay 04 2015We utilize observations of sub-millimeter rotational transitions of CO from a Herschel Cycle 2 open time program ("COPS", PI: J. Green) to identify previously predicted turbulent dissipation by magnetohydrodynamic (MHD) shocks in molecular clouds. We ... More

Gamma-rays Associated with Nearby Thunderstorms at Ground LevelAug 07 2014The TGF and Energetic Thunderstorm Rooftop Array (TETRA) is an array of NaI scintillators located at rooftop level on the campus of Louisiana State University in Baton Rouge, Louisiana. From July 2010 through March 2014, TETRA has detected 28 millisecond-duration ... More

On the Maximum Number of k-Hooks of Partitions of nDec 14 2012Let $\alpha_k(\lambda)$ denote the number of $k$-hooks in a partition $\lambda$ and let $b(n,k)$ be the maximum value of $\alpha_k(\lambda)$ among partitions of $n$. Amdeberhan posed a conjecture on the generating function of $b(n,1)$. We give a proof ... More

Individuals, Institutions, and Innovation in the Debates of the French RevolutionOct 18 2017The French Revolution brought principles of "liberty, equality, and brotherhood" to bear on the day-to-day challenges of governing what was then the largest country in Europe. Its experiments provided a model for future revolutions and democracies across ... More

Relaxation volumes of microscopic and mesoscopic irradiation-induced defects in tungstenDec 17 2018The low energy structures of irradiation-induced defects have been studied in detail, as these determine the available modes by which a defect can diffuse or relax. As a result, there are many studies concerning the relative energies of possible defect ... More

TETRA Observation of Gamma Rays at Ground Level Associated with Nearby ThunderstormsDec 19 2013Terrestrial Gamma ray Flashes (TGFs) -- very short, intense bursts of electrons, positrons, and energetic photons originating from terrestrial thunderstorms -- have been detected with satellite instruments. TETRA, an array of NaI(Tl) scintillators at ... More

RORF - a Radio Optical Reference FrameNov 29 1994The radio observations are based on dual frequency Mark--III VLBI data from 1979 until the end of 1993. Currently 436 sources define the celestial inertial frame. A comparison to the JPL94R01 catalog is made. Position vs. time plots of selected sources ... More

Determinantal Probability: Basic Properties and ConjecturesJun 10 2014We describe the fundamental constructions and properties of determinantal probability measures and point processes, giving streamlined proofs. We illustrate these with some important examples. We pose several general questions and conjectures.

Geometric class field theory with bounded ramification for surfacesNov 05 2012Jul 08 2015Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effective divisor on X. We consider a relative Chow group of modulus D, the Albanese variety of X of modulus D and the Abel-Jacobi map with modulus. For X a ... More

Monotonicity of average return probabilities for random walks in random environmentsMay 21 2017We extend a result of Lyons (2016) from fractional tiling of finite graphs to a version for infinite random graphs. The most general result is as follows. Let $\bf P$ be a unimodular probability measure on rooted networks $(G, o)$ with positive weights ... More

Quantum-enhanced absorption spectroscopyAug 04 2015Absorption spectroscopy is routinely used to characterise chemical and biological samples. For the state-of-the-art in absorption spectroscopy, precision is theoretically limited by shot-noise due to the fundamental Poisson-distribution of photon number ... More

Frequency-based nanoparticle sensing over large field ranges using the ferromagnetic resonances of a magnetic nanodiscApr 25 2016Jul 31 2016Using finite element micromagnetic simulations, we study how resonant magnetisation dynamics in thin magnetic discs with perpendicular anisotropy are influenced by magnetostatic coupling to a magnetic nanoparticle. We identify resonant modes within the ... More

Tracking plumbing system dynamics at the Campi Flegrei caldera, Italy: High-resolution trace element mapping of the Astroni crystal cargoDec 28 2018The Campi Flegrei caldera (southern Italy) is one of the most hazardous volcanic systems on Earth, having produced >60 eruptions in the past 15 ka. The caldera remains active and its potential for future eruptions is high, posing a danger to the dense ... More

The Chow ring of the classifying space $BSO(2n,{\mathbb C})$Nov 19 2004We compute the Chow ring of the classifying space $BSO(2n,\C)$ in the sense of Totaro using the fibration $Gl(2n)/SO(2n) \to BSO(2n) \to BGl(2n)$ and a computation of the Chow ring of $Gl(2n)/SO(2n)$ in a previous paper. We find this Chow ring is generated ... More

Two-stack-sorting with pop stacksJan 15 2018Feb 01 2019We consider the set of permutations that are sorted after two passes through a pop stack. We characterize these permutations in terms of forbidden patterns (classical and barred) and enumerate them according to the ascent statistic. Then we show these ... More

The Spread of Evidence-Poor Medicine via Flawed Social-Network AnalysisJul 16 2010May 05 2011The chronic widespread misuse of statistics is usually inadvertent, not intentional. We find cautionary examples in a series of recent papers by Christakis and Fowler that advance statistical arguments for the transmission via social networks of various ... More

Phase Transitions on Nonamenable GraphsAug 31 1999Jun 16 2000We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.

Hyperbolic Space Has Strong Negative TypeAug 12 2014Feb 27 2015It is known that hyperbolic spaces have strict negative type, a condition on the distances of any finite subset of points. We show that they have strong negative type, a condition on every probability distribution of points (with integrable distance to ... More

Albanese varieties with modulus over a perfect fieldFeb 15 2009Oct 08 2013Let X be a smooth proper variety over a perfect field k of arbitrary characteristic. Let D be an effective divisor on X with multiplicity. We introduce an Albanese variety Alb(X, D) of X of modulus D as a higher dimensional analogon of the generalized ... More

Hardness as randomness: a survey of universal derandomizationApr 28 2003We survey recent developments in the study of probabilistic complexity classes. While the evidence seems to support the conjecture that probabilism can be deterministically simulated with relatively low overhead, i.e., that $P=BPP$, it also indicates ... More

Factors of IID on TreesJan 16 2014Sep 04 2016Classical ergodic theory for integer-group actions uses entropy as a complete invariant for isomorphism of IID (independent, identically distributed) processes (a.k.a. product measures). This theory holds for amenable groups as well. Despite recent spectacular ... More

Optical tweezers: wideband microrheologyMay 09 2010Microrheology is a branch of rheology having the same principles as conventional bulk rheology, but working on micron length scales and micro-litre volumes. Optical tweezers have been successfully used with Newtonian fluids for rheological purposes such ... More

Measuring storage and loss moduli using optical tweezers: broadband microrheologyOct 07 2009We present an experimental procedure to perform broadband microrheological measurements with optical tweezers. A generalised Langevin equation is adopted to relate the time-dependent trajectory of a particle in an imposed flow to the frequency-dependent ... More

Physical properties of single crystalline $R$Mg$_{2}$Cu$_{9}$ ($R$ = Y, Ce-Nd, Gd-Dy, Yb) and the search for in-plane magnetic anisotropy in hexagonal systemsAug 15 2016Single crystals of $R$Mg$_{2}$Cu$_{9}$ ($R$=Y, Ce-Nd, Gd-Dy, Yb) were grown using a high-temperature solution growth technique and were characterized by measurements of room-temperature x-ray diffraction, temperature-dependent specific heat and temperature-, ... More

Distance covariance in metric spacesJun 28 2011Oct 03 2013We extend the theory of distance (Brownian) covariance from Euclidean spaces, where it was introduced by Sz\'{e}kely, Rizzo and Bakirov, to general metric spaces. We show that for testing independence, it is necessary and sufficient that the metric space ... More

Toric Varieties in Hilbert SchemesNov 26 2000For an arbitrary field K, let I be an ideal in the ring K[[x,y]] expressible as a polynomial in either the pair of ideals (x, y^4) and (x,y) or the pair (x,y^3) and (x^2, y). Let G be the group of automorphisms of K[[x,y]] sending the ideal (x,y^2) to ... More

Description of generalized Albanese varieties by curvesJun 15 2011Let X be a projective variety over an algebraically closed base field, possibly singular. The aim of this paper is to show that the generalized Albanese variety of Esnault-Srinivas-Viehweg can be computed from one general curve C in X, if the base field ... More

Random Complexes and l^2-Betti NumbersNov 18 2008May 18 2009Uniform spanning trees on finite graphs and their analogues on infinite graphs are a well-studied area. On a Cayley graph of a group, we show that they are related to the first $\ell^2$-Betti number of the group. Our main aim, however, is to present the ... More

Online Data Thinning via Multi-Subspace TrackingSep 12 2016In an era of ubiquitous large-scale streaming data, the availability of data far exceeds the capacity of expert human analysts. In many settings, such data is either discarded or stored unprocessed in datacenters. This paper proposes a method of online ... More

Symmetry, Isotopy, and Irregular CoversSep 14 2013We say that a cover of surfaces S -> X has the Birman--Hilden property if the subgroup of the mapping class group of X consisting of mapping classes that have representatives that lift to S embeds in the mapping class group of S modulo the group of deck ... More

Regularized Non-Gaussian Image DenoisingAug 12 2015In image denoising problems, one widely-adopted approach is to minimize a regularized data-fit objective function, where the data-fit term is derived from a physical image acquisition model. Typically the regularizer is selected with two goals in mind: ... More

Lagrangian-type submanifolds of Spin(7) manifolds and their deformationsJan 27 2016In an earlier paper we showed that the space of deformations of a smooth, compact, orientable Harvey-Lawson submanifold HL in a G2 manifold M can be identified with the direct sum of the space of smooth functions and closed 2-forms on HL. In that paper, ... More

Cross-Newell equations for hexagons and trianglesOct 16 1999The Cross-Newell equations for hexagons and triangles are derived for general real gradient systems, and are found to be in flux-divergence form. Specific examples of complex governing equations that give rise to hexagons and triangles and which have ... More

Weighted hyperprojective spaces and homotopy invariance in orbifold cohomologyAug 16 2007We show that Chen-Ruan cohomology is a homotopy invariant in certain cases. We introduce the notion of a T-representation homotopy, which is a stringent form of homotopy under which Chen-Ruan cohomology is invariant. We show that while hyperkahler quotients ... More

Wach modules, regulator maps, and epsilon-isomorphisms in familiesOct 31 2016We prove the local epsilon-isomorphism conjecture of Fukaya and Kato [FK06] for certain crystalline families of G_Qp-representations. This conjecture can be regarded as a local analogue of the Iwasawa main conjecture for families. Our work extends earlier ... More

Search strategies for developing characterizations of graphs without small wheel subdivisionsNov 04 2013Practical algorithms for solving the Subgraph Homeomorphism Problem are known for only a few small pattern graphs: among these are the wheel graphs with four, five, six, and seven spokes. The length and difficulty of the proofs leading to these algorithms ... More

Pattern avoidance in permutations and their squaresDec 31 2018We study permutations $p$ so that both $p$ and $p^2$ avoid a given pattern $q$.

Generalized twistor spaces for hyperkähler manifoldsSep 18 2013Let M be a hyperk\"ahler manifold. The S^2-family of complex structures compatible with the hyperk\"ahler metric can be assembled into a single complex structure on Z=MxS^2; the resulting complex manifold is known as the twistor space of M. We describe ... More

Mechanical generation of networks with surplus complexityNov 13 2014In previous work I examined an information based complexity measure of networks with weighted links. The measure was compared with that obtained from by randomly shuffling the original network, forming an Erdos-Renyi random network preserving the original ... More

Generalized Albanese and its dualJun 10 2006May 25 2009We consider categories of rational maps to algebraic groups and study existence and construction of universal objects for such categories, using the duality theory of Laumon 1-motives. In particular, we obtain functorial descriptions of the Albanese of ... More

Albanese varieties of singular varieties over a perfect fieldFeb 11 2011Let X be a projective variety, possibly singular. A generalized Albanese variety of X was constructed by Esnault, Srinivas and Viehweg over algebraically closed base field as a universal regular quotient of the relative Chow group of 0-cycles by Levine-Weibel. ... More

Identities and Inequalities for Tree EntropyDec 18 2007Aug 09 2009The notion of tree entropy was introduced by the author as a normalized limit of the number of spanning trees in finite graphs, but is defined on random infinite rooted graphs. We give some new expressions for tree entropy; one uses Fuglede-Kadison determinants, ... More

Alignment CorrespondencesNov 24 2000We study correspondences of zero-dimensional subschemes of a smooth variety X "aligned" in the same way in inside the appropriate product of Hilbert schemes. We show that such correspondences have etale covering by other such correspondences that are ... More

Asymptotic Enumeration of Spanning TreesDec 11 2002Jul 15 2005We give new general formulas for the asymptotics of the number of spanning trees of a large graph. A special case answers a question of McKay (1983) for regular graphs. The general answer involves a quantity for infinite graphs that we call "tree entropy", ... More

Fixed Price of Groups and PercolationSep 25 2011We prove that for every finitely generated group $\Gamma$, at least one of the following holds: (1) $\Gamma$ has fixed price; (2) each of its Cayley graphs $G$ has infinitely many infinite clusters for some Bernoulli percolation on $G$.

Comparing Graphs of Different SizesFeb 22 2016Oct 18 2016We consider two notions describing how one finite graph may be larger than another. Using them, we prove several theorems for such pairs that compare the number of spanning trees, the return probabilities of random walks, and the number of independent ... More

Integrating Gricean and Attentional ConstraintsMay 19 1995This paper concerns how to generate and understand discourse anaphoric noun phrases. I present the results of an analysis of all discourse anaphoric noun phrases (N=1,233) in a corpus of ten narrative monologues, where the choice between a definite pronoun ... More

Word-Sense Disambiguation Using Decomposable ModelsJun 01 1994Most probabilistic classifiers used for word-sense disambiguation have either been based on only one contextual feature or have used a model that is simply assumed to characterize the interdependencies among multiple contextual features. In this paper, ... More

A survey of partizan misere game theoryJun 23 2016Much progress has been made in misere game theory using the technique of restricted misere play, where games can be considered equivalent inside a restricted set of games without being equal in general. This paper provides a survey of recent results in ... More

Deformations of Lagrangian Type Submanifolds inside G2 manifoldsMar 10 20153-dimensional Harvey Lawson submanifolds were introduced in an earlier paper by Akbulut-Salur, as examples of Lagrangian-type manifolds inside G2 manifold. In this paper, we first show that the space of deformations of a smooth, compact, orientable Harvey-Lawson ... More

Survival of a recessive allele in a Mendelian diploid modelMay 08 2015Aug 23 2016In this paper we analyse the genetic evolution of a diploid hermaphroditic population, which is modelled by a three-type nonlinear birth-and-death process with competition and Mendelian reproduction. In a recent paper, Collet et al., 2013 have shown that, ... More

Checkerboard Julia Sets for Rational MapsMar 19 2011Jun 20 2011In this paper, we consider the family of rational maps $$\F(z) = z^n + \frac{\la}{z^d},$$ where $n \geq 2$, $d\geq 1$, and$\la \in \bbC$. We consider the case where $\la$ lies in the main cardioid of one of the $n-1$ principal Mandelbrot sets in these ... More

Evolution of field line helicity during magnetic reconnectionJan 20 2015Feb 16 2015We investigate the evolution of field line helicity for magnetic fields that connect two boundaries without null points, with emphasis on localized finite-B magnetic reconnection. Total (relative) magnetic helicity is already recognized as an important ... More

Separating enhancement from loss: plasmonic nanocavities in the weak coupling regimeNov 01 2011By modifying the density of optical states at the location of an emitter, weak cavity-emitter coupling can enable a host of potential applications in quantum optics, from the development of low- threshold lasers to brighter single-photon sources for quantum ... More

On the Optical -- X-ray correlation from outburst to quiescence in Low Mass X-ray Binaries: the representative cases of V404 Cyg and Cen X-4Apr 27 2016Low mass X-ray binaries (LMXBs) show evidence of a global correlation of debated origin between X-ray and optical luminosity. We study for the first time this correlation in two transient LMXBs, the black hole V404 Cyg and the neutron star Cen X-4, over ... More

Neutrino capture by r-process waiting-point nucleiMay 04 1998We use the Quasiparticle Random Phase Approximation to include the effects of low-lying Gamow-Teller and first forbidden strength in neutrino capture by very neutron-rich nuclei with N = 50, 82, or 126. For electron neutrinos in what is currently considered ... More

Measurement of azimuthal asymmetries of the unpolarized cross section at HERMESJan 16 2009A multi-dimensional (x, y, z, P_{h\perp}) extraction of cos\phi_h and cos2\phi_h azimuthal asymmetries of unpolarized Semi-Inclusive Deep Inelastic Scattering at HERMES is discussed. The use of data taken with hydrogen and deuterium targets and the separation ... More

The Machine Learning Algorithm as Creative Musical ToolNov 01 2016Machine learning is the capacity of a computational system to learn structures from datasets in order to make predictions on newly seen data. Such an approach offers a significant advantage in music scenarios in which musicians can teach the system to ... More

An Involution on Involutions and a Generalization of Layered PermutationsMay 19 2016Taking transposes of Standard Young Tableaux defines a natural involution on the set $I(n)$ of involutions of length $n$ via the the Robinson-Schensted correspondence. In some cases, this involution can be defined without resorting to the Robinson-Schensted ... More

The Chow ring of the symmetric space Gl(2n,C)/SO(2n,C)Mar 22 2001We show this Chow ring is $\Z \oplus \Z$. We do this by partitioning the space into 2n subvarieties each of which is fibered over $Gl(2n-2,\C)/SO(2n-2,\C)$.

Early-type galaxies in low-density environmentsJul 23 2002We describe the construction and study of an objectively-defined sample of early-type galaxies in low-density environments. The sample galaxies are selected from a recently-completed redshift survey using uniform and readily-quantified isolation criteria, ... More

Exact and Approximate Inference in Associative Hierarchical Networks using Graph CutsMar 15 2012Markov Networks are widely used through out computer vision and machine learning. An important subclass are the Associative Markov Networks which are used in a wide variety of applications. For these networks a good approximate minimum cost solution can ... More

Coherent Control of Ultra-High Frequency Acoustic Resonances in Photonic Crystal FibersNov 28 2007Apr 27 2008Ultra-high frequency acoustic resonances ($\backsim$2 GHz) trapped within the glass core ($\backsim$1 $\mu$m diameter) of a photonic crystal fiber are selectively excited through electrostriction using laser pulses of duration 100 ps and energy 500 pJ. ... More

Discovery of Rapidly Moving Partial X-ray Absorbers within gamma CassiopeiaeAug 03 2016Gamma Cassiopeiae is an enigmatic Be star with unusually strong hard X-ray emission. The Suzaku observatory detected six rapid X-ray spectral hardening events called "softness dips" in a ~100 ksec duration observation in 2011. All the softness dip events ... More

Cometary Dust in the Debris Disks of HD 31648 and HD 163296: Two ``Baby'' beta PicsJul 22 1998The debris disks surrounding the pre-main sequence stars HD 31648 and HD 163296 were observed spectroscopically between 3 and 14 microns. Both possess a silicate emission feature at 10 microns which resembles that of the star beta Pictoris and those observed ... More

3 - 14 Micron Spectroscopy of Comets C/2002 O4 (Honig), C/2002 V1 (NEAT), C/2002 X5 (Kudo-Fujikawa), C/2002 Y1 (Juels-Holvorcem), 69P/Taylor, and the Relationships among Grain Temperature, Silicate Band Strength and Structure among Comet FamiliesApr 19 2004We report 3 - 13 micron spectroscopy of 4 comets observed between August 2002 and February 2003: C/2002 O4 (Honig) on August 1, 2002, C/2002 V1 (NEAT) on Jan. 9 and 10, 2003, C/2002 X5 (Kudo-Fujikawa) on Jan. 9 and 10, 2003, and C/2002 Y1 (Juels-Holvorcem) ... More

Perovskite-perovskite tandem photovoltaics with ideal bandgapsAug 12 2016Multi-junction solar photovoltaics are proven to deliver the highest performance of any solar cell architecture, making them ideally suited for deployment in an increasingly efficiency driven solar industry. Conventional multi-junction cells reach up ... More

Introduction to the Absolute Brightness and Number Statistics in Spontaneous Parametric Down-ConversionJul 28 2018As a tutorial, we examine the absolute brightness and number statistics of photon pairs generated in Spontaneous Parametric Down-Conversion (SPDC) from first principles. In doing so, we demonstrate how the diverse implementations of SPDC can be understood ... More