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Majority dynamics with one nonconformistJun 17 2016We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently popular among ... More

Herschel observations of the Centaurus cluster - the dynamics of cold gas in a cool coreAug 13 2011Brightest cluster galaxies (BCGs) in the cores of galaxy clusters have distinctly different properties from other low redshift massive ellipticals. The majority of the BCGs in cool-core clusters show signs of active star formation. We present observations ... 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.

Twists and TwistabilityFeb 01 2018Metrically homogeneous graphs are connected graphs which, when endowed with the path metric, are homogeneous as metric spaces. In this paper we introduce the concept of twisted automorphisms, a notion of isomorphism up to a permutation of the language. ... More

The genus of projective curves on complete intersection surfacesAug 15 2014Sep 03 2014We bound the genus of a projective curve lying on a complete intersection surface in terms of its degree and the degrees of the defining equations of the surface on which it lies.

Computing Higher Indicators for the Double of a Symmetric GroupJun 28 2012In this paper we explicitly determine all indicators for the Drinfel'd doubles of the symmetric group acting upon up to 10 objects. We explore when distinct characters give exactly the same indicators and when the indicators have a zero value. We find ... More

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

Generalized Yang-Baxter Equations and Braiding Quantum GatesAug 26 2011Solutions to the Yang-Baxter equation - an important equation in mathematics and physics - and their afforded braid group representations have applications in fields such as knot theory, statistical mechanics, and, most recently, quantum information science. ... More

Random projection ensemble classificationApr 17 2015We introduce a very general method for high-dimensional classification, based on careful combination of the results of applying an arbitrary base classifier to random projections of the feature vectors into a lower-dimensional space. In one special case ... More

A Version of Geiringer-like Theorem for Decision Making in the Environments with Randomness and Incomplete InformationOct 20 2011Purpose: In recent years Monte-Carlo sampling methods, such as Monte Carlo tree search, have achieved tremendous success in model free reinforcement learning. A combination of the so called upper confidence bounds policy to preserve the "exploration vs. ... More

Random-projection ensemble classificationApr 17 2015Jun 05 2017We introduce a very general method for high-dimensional classification, based on careful combination of the results of applying an arbitrary base classifier to random projections of the feature vectors into a lower-dimensional space. In one special case ... More

Ultraviolet Perspectives on Diffuse Gas in the Largest Cosmic StructuresMar 14 2019The past decade has seen an explosion of discoveries and new insights into the diffuse gas within galaxies, galaxy clusters, and the filaments composing the Cosmic Web. A new decade will bring fresh opportunities to further this progress towards developing ... 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

A stack and a pop stack in seriesMar 06 2013We study sorting machines consisting of a stack and a pop stack in series, with or without a queue between them. While there are, a priori, four such machines, only two are essentially different: a pop stack followed directly by a stack, and a pop stack ... More

Dual Filtered GraphsOct 28 2014May 02 2016We define a K-theoretic analogue of Fomin's dual graded graphs, which we call dual filtered graphs. The key formula in the definition is DU-UD= D + I. Our major examples are K-theoretic analogues of Young's lattice, of shifted Young's lattice, and of ... More

Dead Ends in Misere Play: The Misere Monoid of Canonical NumbersDec 27 2012Apr 16 2013We find the misere monoids of normal-play canonical-form integer and non-integer numbers. These come as consequences of more general results for the universe of `dead-ending' games. Left and right `ends' have previously been defined as games in which ... 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

Lattice Designs in Standard and Simple Implicit Multi-linear RegressionMar 25 2016Statisticians generally use ordinary least squares to minimize the random error in a subject response with respect to independent explanatory variable. However, Wooten shows illustrates how ordinary least squares can be used to minimize the random error ... 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

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

An Improved Deterministic Rescaling for Linear Programming AlgorithmsDec 14 2016The perceptron algorithm for linear programming, arising from machine learning, has been around since the 1950s. While not a polynomial-time algorithm, it is useful in practice due to its simplicity and robustness. In 2004, Dunagan and Vempala showed ... More

Emergent Ising degrees of freedom above double-stripe magnetismAug 14 2017Aug 22 2017Double-stripe magnetism $[\mathbf{Q}=(\pi/2, \pi/2)]$ has been proposed as the magnetic ground state for both the iron-telluride and BaTi$_2$Sb$_2$O families of superconductors. Double-stripe order is captured within a $J_1-J_2-J_3$ Heisenberg model in ... 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

Chiral RKKY interaction in Pr2Ir2O7Jan 04 2013Motivated by the potential chiral spin liquid in the metallic spin ice Pr2Ir2O7, we consider how such a chiral state might be selected from the spin ice manifold. We propose that chiral fluctuations of the conducting Ir moments promote ferro-chiral couplings ... More

Tandem Pairing in Heavy Fermion SuperconductorsDec 11 2009May 07 2010We examine the internal structure of the heavy fermion condensate, showing that it necessarily involves a d-wave pair of quasiparticles on neighboring lattice sites, condensed in tandem with a composite pair of electrons bound to a local moment, within ... More

The concept of "character" in Dirichlet's theorem on primes in an arithmetic progressionSep 17 2012Jun 26 2013In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the ... More

Six Challenges for Neural Machine TranslationJun 12 2017We explore six challenges for neural machine translation: domain mismatch, amount of training data, rare words, long sentences, word alignment, and beam search. We show both deficiencies and improvements over the quality of phrase-based statistical machine ... 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

Principal Component Analysis: Resources for an Essential Application of Linear AlgebraApr 15 2016Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the ... More

Distinguishing Word Senses in Untagged TextJun 09 1997This paper describes an experimental comparison of three unsupervised learning algorithms that distinguish the sense of an ambiguous word in untagged text. The methods described in this paper, McQuitty's similarity analysis, Ward's minimum-variance method, ... 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

Introduction to Implicit RegressionJan 30 2016Statisticians usually restrict regression to model relationships that are explicitly defined dependent and independent random variables; this paper outlines the newly developed method of non-response analysis and rotational analysis for evaluating co-dependent ... More

A 500 kpc HI Tail of the Virgo Pair NGC4532/DDO137 Detected by ALFALFAJul 22 2007HI observations of the Virgo Cluster pair NGC 4532/DDO 137, conducted as part of the Arecibo Legacy Fast ALFA Survey (ALFALFA), reveal an HI feature extending ~500 kpc to the southwest. The structure has a total mass of up to 7 x 10^8 solar masses, equivalent ... More

Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-WhirlinessNov 24 2008Spinning black hole pairs exhibit a range of complicated dynamical behaviors. An interest in eccentric and zoom-whirl orbits has ironically inspired the focus of this paper: the constant radius orbits. When black hole spins are misaligned, the constant ... 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

Closure operations that induce big Cohen-Macaulay modules and classification of singularitiesDec 18 2015Jul 01 2016Geoffrey Dietz introduced a set of axioms for a closure operation on a complete local domain R so that the existence of such a closure operation is equivalent to the existence of a big Cohen-Macaulay module. These closure operations are called Dietz closures. ... 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

Orbifold cohomology of hypertoric varietiesJul 18 2006Oct 14 2007Hypertoric varieties are hyperk\"ahler analogues of toric varieties, and are constructed as abelian hyperk\"ahler quotients of a quaternionic affine space. Just as symplectic toric orbifolds are determined by labelled polytopes, orbifold hypertoric varieties ... More

Greene--Kleitman invariants for Sulzgruber insertionAug 31 2017R. Sulzgruber's rim hook insertion and the Hillman-Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets of rim-hooks of the same partition shape. It is known that Hillman-Grassl ... More

Transitive permutation groups with trivial four point stabilizersNov 27 2014In this paper we analyze the structure of transitive permutation groups that have trivial four point stabilizers, but some nontrivial three point stabilizer. In particular we give a complete, detailed classification when the group is simple or quasisimple. ... More

The Intelligent Voice 2016 Speaker Recognition SystemNov 02 2016This paper presents the Intelligent Voice (IV) system submitted to the NIST 2016 Speaker Recognition Evaluation (SRE). The primary emphasis of SRE this year was on developing speaker recognition technology which is robust for novel languages that are ... More

Room temperature self-assembly of mixed nanoparticles into complex material systems and devicesJan 14 2012The ability to manufacture nanomaterials with complex and structured composition using otherwise incompatible materials increasingly underpins the next generation of technologies. This is translating into growing efforts integrating a wider range of materials ... More

First-Principles Studies of Luminescence in Ce doped Inorganic ScintillatorsAug 16 2010Luminescence in Ce doped materials corresponds to a transition from an excited state where the lowest Ce 5d level is filled to the ground state where a single 4f level is filled. We have performed theoretical calculations based on Density Functional Theory ... More

Temperature and strain characterization of regenerated gratingsDec 01 2012Both temperature and strain characterization of seed and regenerated gratings with and without post-annealing is reported. The high temperature regeneration has significant impact to thermal characterization and mechanical strength of gratings whilst ... More

Applying Reliability Metrics to Co-Reference AnnotationJun 10 1997Studies of the contextual and linguistic factors that constrain discourse phenomena such as reference are coming to depend increasingly on annotated language corpora. In preparing the corpora, it is important to evaluate the reliability of the annotation, ... More

The symplectic-N t-J model and s$_\pm$ superconductorsApr 10 2012Apr 24 2012The possible discovery of $s_\pm$ superconducting gaps in the moderately correlated iron-based superconductors has raised the question of how to properly treat $s_\pm$ gaps in strongly correlated superconductors. Unlike the d-wave cuprates, the Coulomb ... More

Spins, electrons and broken symmetries: realizations of two channel Kondo physicsAug 11 2014Adding a second Kondo channel to heavy fermion materials reveals new exotic symmetry breaking phases associated with the development of Kondo coherence. In this paper, we review two such phases, the "hastatic order" associated with non-Kramers doublet ... More

Symplectic N and time reversal in frustrated magnetismOct 28 2008Nov 19 2008Identifying the time reversal symmetry of spins as a symplectic symmetry, we develop a large N approximation for quantum magnetism that embraces both antiferromagnetism and ferromagnetism. In SU(N), N>2, not all spins invert under time reversal, so we ... More

Virgo Early-Type Dwarfs in ALFALFAJul 22 2007Early-type dwarf galaxies dominate cluster populations, but their formation and evolutionary histories are poorly understood. The ALFALFA (Arecibo Legacy Fast ALFA) survey has completed observations of the Virgo Cluster in the declination range of 6 - ... More

Programmable Control of Nucleation for Algorithmic Self-AssemblyJul 13 2006Jan 08 2010Algorithmic self-assembly, a generalization of crystal growth processes, has been proposed as a mechanism for autonomous DNA computation and for bottom-up fabrication of complex nanostructures. A `program' for growing a desired structure consists of a ... More

Closure operations that induce big Cohen-Macaulay algebrasDec 24 2015We study closure operations over a local domain R that satisfy a set of axioms introduced by Geoffrey Dietz. The existence of a closure operation satisfying the axioms (called a Dietz closure) is equivalent to the existence of a big Cohen-Macaulay module ... More

Character and objectApr 18 2014Dec 21 2015In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. Modern presentations of the proof are explicitly higher-order, in that they involve quantifying over and ... 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

Topological containment of the 5-clique minus an edge in 4-connected graphsMay 03 2017May 04 2017The topological containment problem is known to be polynomial-time solvable for any fixed pattern graph $H$, but good characterisations have been found for only a handful of non-trivial pattern graphs. The complete graph on five vertices, $K_5$, is one ... 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

Bridgeland stability conditions on surfaces with curves of negative self-intersectionFeb 21 2017Aug 27 2018Let $X$ be a smooth complex projective variety. In 2002, Bridgeland defined a notion of stability for the objects in $D^b(X)$, the bounded derived category of coherent sheaves on $X$, which generalized the notion of slope stability for vector bundles ... 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 $Gl(2n-2,\C)/SO(2n-2,\C)$.

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

Lifting of Characters for Nonlinear Simply Laced GroupsSep 05 2008One aspect of the Langlands program for linear groups is lifting of characters, which relates virtual representations on a group $G$ with those on an endoscopic group for $G$. The goal of this paper is to extend this theory to nonlinear two-fold covers ... More

Classification with imperfect training labelsMay 29 2018Sep 26 2018We study the effect of imperfect training data labels on the performance of classification methods. In a general setting, where the probability that an observation in the training dataset is mislabelled may depend on both the feature vector and the true ... 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 Future Landscape of High-Redshift Galaxy Cluster ScienceMar 13 2019Modern galaxy cluster science is a multi-wavelength endeavor with cornerstones provided by X-ray, optical/IR, mm, and radio measurements. In combination, these observations enable the construction of large, clean, complete cluster catalogs, and provide ... 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

Increasing the output of a Littman-type laser by use of an intracavity Faraday rotatorSep 30 2005We present a new method of external-cavity diode laser grating stabilization which combines the high output power of the Littrow design with the fixed output pointing of the Littman-Metcalf design. Our new approach utilizes a Faraday-effect optical isolator ... More

OmniGraph: Rich Representation and Graph Kernel LearningOct 10 2015OmniGraph, a novel representation to support a range of NLP classification tasks, integrates lexical items, syntactic dependencies and frame semantic parses into graphs. Feature engineering is folded into the learning through convolution graph kernel ... More

Performance bounds on compressed sensing with Poisson noiseJan 13 2009Apr 30 2009This paper describes performance bounds for compressed sensing in the presence of Poisson noise when the underlying signal, a vector of Poisson intensities, is sparse or compressible (admits a sparse approximation). The signal-independent and bounded ... More

The TeV Blazar Measurement of the Extragalactic Background LightOct 02 2013Dec 05 2013Gamma-rays propagating through space are likely to be extinguished via electron-positron pair production off of the ambient extragalactic background light (EBL). The spectrum of the EBL is produced by starlight (and starlight reprocessed by dust) from ... More

On the formation and evolution of asteroid belts and their potential significance for lifeOct 31 2012Suggestions have been made that asteroid belts may be important both for the existence of life and perhaps even for the evolution of complex life on a planet. Using numerical models for protoplanetary discs we calculate the location of the snow line, ... More

Ω_0 from the Apparent Evolution of Gas Fractions in Rich Clusters of GalaxiesMar 06 1998We apply a unique gas fraction estimator to published X-ray cluster properties and we compare the derived gas fractions of observed clusters to simulated ones. The observations are consistent with a universal gas fraction of 0.15+/-0.01h_{50}^{-3/2} for ... More

Philipp Reis's telephone in AberdeenNov 04 2018A telephone sender following the design of Johann Philipp Reis made by W Ladd, London 1863, in the Natural Philosophy Collection of the University of Aberdeen is illustrated and described. How Reis came to invent a telephone some 15 years before Graham ... More

On the Evolution of the Snow Line in Protoplanetary DiscsJul 18 2012We model the evolution of the snow line in a protoplanetary disc. If the magneto-rotational instability (MRI) drives turbulence throughout the disc, there is a unique snow line outside of which the disc is icy. The snow line moves closer to the star as ... More

On the evolution of the snow line in protoplanetary discs II: Analytic approximationsJun 21 2013We examine the evolution of the snow line in a protoplanetary disc that contains a dead zone (a region of zero or low turbulence). The snow line is within a self-gravitating part of the dead zone, and we obtain a fully analytic solution for its radius. ... More

Enhancing laser sideband cooling in one-dimensional optical lattices via the dipole interactionJan 14 2010We study resolved sideband laser cooling of a one-dimensional optical lattice with one atom per site, and in particular the effect of the dipole interaction between radiating atoms. For simplicity, we consider the case where only a single cooling laser ... More

Generalized estimators for multiple testing: proportion of true nulls and false discovery rateOct 16 2014Two new estimators are proposed: the first for the proportion of true null hypotheses and the second for the false discovery rate (FDR) of one-step multiple testing procedures (MTPs). They generalize similar estimators developed jointly by Storey, Taylor ... More

On estimation of mean squared errors of benchmarked empirical Bayes estimatorsApr 05 2013We consider benchmarked empirical Bayes (EB) estimators under the basic area-level model of Fay and Herriot while requiring the standard benchmarking constraint. In this paper we determine the excess mean squared error (MSE) from constraining the estimates ... More

Sparse Linear Regression With Missing DataMar 28 2015This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the regression coefficients, ... More

A two-species continuum model for aeolian sand ripplesOct 16 1999We formulate a continuum model for aeolian sand ripples consisting of two species of grains: a lower layer of relatively immobile clusters, with an upper layer of highly mobile grains moving on top. We predict analytically the ripple wavelength, initial ... More

Two-stage Benchmarking as Applied to Small Area EstimationMay 28 2013Jul 15 2013There has been recent growth in small area estimation due to the need for more precise estimation of small geographic areas, which has led to groups such as the U.S. Census Bureau, Google, and the RAND corporation utilizing small area estimation procedures. ... More

A strong law of large numbers related to multiple testing Normal meansOct 16 2014Sep 11 2017We study the number of rejections for conditional multiple testing in the Normal means problem under dependence. We propose the concept of "principal covariance structure (PCS)" and provide sets of sufficient conditions under which a strong law of large ... More

On the Formation of Super-Earths with Implications for the Solar SystemMar 26 2016We first consider how the level of turbulence in a protoplanetary disk affects the formation locations for the observed close-in super-Earths in exosolar systems. We find that a protoplanetary disk that includes a dead zone (a region of low turbulence) ... More

The Solar System as an Exoplanetary SystemAug 04 2015With the availability of considerably more data, we revisit the question of how special our Solar System is, compared to observed exoplanetary systems. To this goal, we employ a mathematical transformation that allows for a meaningful, statistical comparison. ... More

Globular Cluster Abundances from High-Resolution Integrated Light Spectra, I: 47 TucSep 12 2007May 06 2008We describe the detailed chemical abundance analysis of a high-resolution (R~35,000), integrated-light (IL), spectrum of the core of the Galactic globular cluster 47 Tuc, obtained using the du Pont echelle at Las Campanas. We develop an abundance analysis ... More

Superheat: Supervised heatmaps for visualizing complex dataDec 04 2015Technological advancements of the modern era have enabled the collection of huge amounts of data in science and beyond. Accordingly, computationally intensive statistical and machine learning algorithms are being used to seek answers to increasingly complex ... More

Some results on the admissible representations of non-connected reductive p-adic groupsNov 09 1995We examine the theory of induced representations for non-connected reductive $p$-adic groups for which $G/G^0$ is abelian. We first examine the structure of those representations of the form $\Ind_{P^0}^G(\sigma),$ where $P^0$ is a parabolic subgroup ... More

On the evolution of the CO snow line in protoplanetary disksFeb 13 2014CO is thought to be a vital building block for prebiotic molecules that are necessary for life. Thus, understanding where CO existed in a solid phase within the solar nebula is important for understanding the origin of life. We model the evolution of ... More

A strong law of large numbers related to multiple testing Normal meansOct 16 2014Oct 13 2016We study the number of rejections for conditional multiple testing in the Normal means problem under dependence. We propose the concept of "principal covariance structure (PCS)" and provide sets of sufficient conditions under which a strong law of large ... More

A Bijection on Classes Enumerated by the Schröder NumbersOct 31 2015Jul 08 2017We consider a sorting machine consisting of two stacks in series where the first stack has the added restriction that entries in the stack must be in decreasing order from top to bottom. The class of permutations sortable by this machine are known to ... More

The probability of positivity in symmetric and quasisymmetric functionsOct 25 2018Given an element in a finite-dimensional real vector space, $V$, that is a nonnegative linear combination of basis vectors for some basis $B$, we compute the probability that it is furthermore a nonnegative linear combination of basis vectors for a second ... More

Expected value of the one dimensional Earth Mover's DistanceMar 08 2019From a combinatorial point of view, we consider the Earth Mover's Distance (EMD) associated with a metric measure space. The specific case considered is deceptively simple: Let the finite set S = {1,...,n} be regarded as a metric space by restricting ... More

Variational Bayes for Merging Noisy DatabasesOct 17 2014Bayesian entity resolution merges together multiple, noisy databases and returns the minimal collection of unique individuals represented, together with their true, latent record values. Bayesian methods allow flexible generative models that share power ... More