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Multi-View Region Adaptive Multi-temporal DMM and RGB Action RecognitionApr 12 2019Human action recognition remains an important yet challenging task. This work proposes a novel action recognition system. It uses a novel Multiple View Region Adaptive Multi-resolution in time Depth Motion Map (MV-RAMDMM) formulation combined with appearance ... More

Misconceptions About General Relativity in Theoretical Black Hole AstrophysicsApr 09 2010The fundamental role played by black holes in our study of microquasars, gamma ray bursts, and the outflows from active galactic nuclei requires an appreciation for, and at times some in-depth analysis of, curved spacetime. We highlight misconceptions ... More

Theory of liquid crystal anchoring at a porous surfaceApr 05 2006Using classical density functional theory (DFT) the effect of bringing a liquid crystal (LC) into contact with a porous substrate or matrix is investigated. The DFT used is a combination of the Onsager approximation to evaluate the excess free energy ... More

The Association of Jet Production with Geometrically Thick Accretion Flows and Black Hole RotationOct 12 2000A model is presented in which the strongest radio-emitting jet outflows are produced in black hole systems when the accretion is a geometrically thick ($H/R \sim 1$) inflow ({\it e.g.}, ADAF, CDAF) {\em and} if the black hole is rotating. For galactic ... More

Grand Unification of AGN and the Accretion and Spin ParadigmsAug 26 1999While attempts to unify certain classes of AGN using orientation and environmental effects have been successful, it is widely recognized that intrinsic properties of the accreting black hole system also must play a role in determining the appearance of ... More

Vortex arrays in a rotating superfluid Fermi gasOct 05 2004The behavior of a dilute two-component superfluid Fermi gas subjected to rotation is investigated within the context of a weak-coupling BCS theory. The microscopic properties at finite temperature are obtained by iterating the Bogoliubov-de Gennes equations ... More

On the Negative Case of the Singular Yamabe ProblemJan 16 1996The negative case of the Singular Yamabe Problem concerns the existence and behavior of complete metrics with constant negative scalar curvature on the complement of a closed set in a compact Riemannian manifold which are conformally equivalent to a smooth ... More

Spin-0 to Spin-1/2 Deterministic Dynamics: From Relativistic Quantum Potential to Quantum Stress TensorSep 11 2016Oct 10 2016The Bohm/de Broglie theory of deterministic non-relativistic quantum mechanics is broadened to accommodate the free-particle Dirac equation. As with the spin-0 theory, an effective particle rest-mass scalar field in the presence of the spin-1/2 pilot ... More

Electrostatic model of atomic ordering in complex perovskite alloysJun 23 1998We present a simple ionic model which successfully reproduces the various types of compositional long-range order observed in a large class of complex insulating perovskite alloys. The model assumes that the driving mechanism responsible for the ordering ... More

The Limiting Distribution of the Number of Block Pairs in Type B Set PartitionsAug 05 2011It is a classical result of Harper that the limiting distribution of the number of blocks in partitions of the set $\{1, 2,..., n\}$ is normal. In this paper, using the saddle point method we prove the normality of the limiting distribution of the number ... More

Finding cool subdwarfs using a V-J reduced proper-motion diagram: Stellar parameters for 91 candidatesJun 03 2003We present the results of a search for cool subdwarfs for which our candidates were drawn from a V-J reduced proper-motion diagram constructed by Salim & Gould (2002). Kinematic (U, V, and W) and self-consistent stellar parameters (Teff, log g, [Fe/H], ... More

A search for cool subdwarfs: Stellar parameters for 134 candidatesSep 17 2002The results of a search for cool subdwarfs are presented. Kinematic (U, V, and W) and stellar parameters (Teff, log g, [Fe/H], and V_t) are derived for 134 candidate subdwarfs based on high resolution spectra. The observed stars span 4200K < Teff < 6400K ... More

Representing Bayesian Networks within Probabilistic Horn AbductionMar 20 2013This paper presents a simple framework for Horn clause abduction, with probabilities associated with hypotheses. It is shown how this representation can represent any probabilistic knowledge representable in a Bayesian belief network. The main contributions ... More

Post-Launch Analysis of Swift's Gamma-Ray Burst Detection SensitivityFeb 12 2006The dependence of Swift's detection sensitivity on a burst's temporal and spectral properties shapes the detected burst population. Using simplified models of the detector hardware and the burst trigger system I find that Swift is more sensitive to long, ... More

Burst Populations and Detector SensitivityDec 12 2003The F_T (peak bolometric photon flux) vs. E_p (peak energy) plane is a powerful tool to compare the burst populations detected by different detectors. Detector sensitivity curves in this plane demonstrate which burst populations the detectors will detect. ... More

The Gamma-Ray Burst MysteryDec 15 1997Gamma-ray bursts are transient events from beyond the solar system. Besides the allure of their mysterious origin, bursts are physically fascinating because they undoubtedly require exotic physics. Optical transients coincident with burst positions show ... More

The virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskitesAug 25 1999We present an approach to the implementation of the virtual crystal approximation (VCA) for the study of properties of solid solutions in the context of density-functional methods. Our approach can easily be applied to any type of pseudopotential, and ... More

Optimized replica gas estimation of absolute integrals and partition functionsFeb 03 2010In contrast with most Monte Carlo integration algorithms, which are used to estimate ratios, the replica gas identities recently introduced by Adib enable the estimation of absolute integrals and partition functions using multiple copies of a system and ... More

Density-Dependent Analysis of Nonequilibrium Paths Improves Free Energy EstimatesJan 21 2009Apr 29 2009When a system is driven out of equilibrium by a time-dependent protocol that modifies the Hamiltonian, it follows a nonequilibrium path. Samples of these paths can be used in nonequilibrium work theorems to estimate equilibrium quantities, such as free ... More

The Theory and Simulation of Relativistic Jet Formation: Towards a Unified Model For Micro- and MacroquasarsDec 02 2003I review recent progress in the theory of relativistic jet production, with special emphasis on unifying black hole sources of stellar and supermassive size. Observations of both classes of objects, as well as theoretical considerations, indicate that ... More

A Magnetically-Switched, Rotating Black Hole Model For the Production of Extragalactic Radio Jets and the Fanaroff and Riley Class DivisionOct 21 1998Jul 30 1999A model is presented in which both Fanaroff and Riley class I and II extragalactic jets are produced by magnetized accretion disk coronae in the ergospheres of rotating black holes. While the jets are produced in the accretion disk itself, the output ... More

Spin-0 to Spin-1/2 Deterministic Dynamics: From Relativistic Quantum Potential to Quantum Stress TensorSep 11 2016Nov 29 2016The Bohm/de Broglie theory of deterministic non-relativistic quantum mechanics is broadened to accommodate the free-particle Dirac equation. As with the spin-0 theory, an effective particle rest-mass scalar field in the presence of the spin-1/2 pilot ... More

The AKARI Deep Field South: A New Home for Multiwavelength Extagalactic AstronomyAug 22 2012The importance of multiwavelength astronomical surveys is discussed in the context of galaxy evolution. The AKARI Deep Field South (ADF-S) is a new, well placed survey field that is already the subject of studies at a wide range of wavelengths. A number ... More

The Yang-Mills flow for cylindrical end 4-manifoldsMar 01 2016We establish various existence and uniqueness results for the Yang-Mills flow on cylindrical end 4-manifolds. We also show long-time existence and infinite-time convergence under certain hypotheses on the underlying data.

Complete caps in projective space which are disjoint from a subspace of codimension twoMar 02 2004Working over the field of order 2 we consider those complete caps (maximal sets of points with no three collinear) which are disjoint from some codimension 2 subspace of projective space. We derive restrictive conditions which such a cap must satisfy ... More

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

A Framework for Decision-Theoretic Planning I: Combining the Situation Calculus, Conditional Plans, Probability and UtilityFeb 13 2013This paper shows how we can combine logical representations of actions and decision theory in such a manner that seems natural for both. In particular we assume an axiomatization of the domain in terms of situation calculus, using what is essentially ... More

Burst Detector Sensitivity: Past, Present & FutureJan 19 2006I compare the burst detection sensitivity of CGRO's BATSE, Swift's BAT, the GLAST Burst Monitor (GBM) and EXIST as a function of a burst's spectrum and duration. A detector's overall burst sensitivity depends on its energy sensitivity and set of accumulations ... More

Intensity Distributions of Gamma-Ray BurstsJun 01 2001Observations of individual bursts chosen by the vagaries of telescope availability demonstrated that bursts are not standard candles and that their apparent energy can be as great as 10^54 erg. However, determining the distribution of their apparent energy ... More

The Energy Distribution of Gamma-Ray BurstsMay 15 2001The distribution of the apparent total energy emitted by a gamma-ray burst reflects not only the distribution of the energy actually released by the burst engine, but also the distribution of beaming angles. Using the observed energy fluences, the detection ... More

CESR Test AcceleratorAug 10 2013The Cornell Electron Storage Ring (CESR) was reconfigured in 2008 as a test accelerator to investigate the physics of ultra-low emittance damping rings. During the approximately 40 days/year available for dedicated operation as a test accelerator, specialized ... More

Maximally entangled gapped ground state of lattice fermionsDec 21 2011Entanglement between the constituents of a quantum system is an essential resource in the implementation of many quantum processes and algorithms. Indeed, universal quantum computation is possible by measuring individual qubits comprising highly entangled ... More

The Theory of Relativistic Jet Formation in Galactic Sources: Towards a Unified MOdelDec 02 2003I review recent progress in the theory of relativistic jet production. The presently favored mechanism is an electrodynamic one, in which charged plasma is accelerated by electric fields that are generated by a rotating magnetic field. The most pressing ... More

Comment on "Hubble flow variations as a test for inhomogeneous cosmology"Dec 04 2018Saulder et al [arXiv:1811.11976] have performed a novel observational test of the local expansion of the Universe for the standard cosmology as compared to an alternative model with differential cosmic expansion. Their analysis employs mock galaxy samples ... More

On colored set partitions of type $B_n$Jan 05 2015Generalizing Reiner's notion of set partitions of type $B_n$, we define colored $B_n$-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored $B_n$-partitions, we get the exact formulas ... More

Exploiting the Rule Structure for Decision Making within the Independent Choice LogicFeb 20 2013This paper introduces the independent choice logic, and in particular the "single agent with nature" instance of the independent choice logic, namely ICLdt. This is a logical framework for decision making uncertainty that extends both logic programming ... More

Context-Specific Approximation in Probabilistic InferenceJan 30 2013There is evidence that the numbers in probabilistic inference don't really matter. This paper considers the idea that we can make a probabilistic model simpler by making fewer distinctions. Unfortunately, the level of a Bayesian network seems too coarse; ... More

Comparison of the Gamma-Ray Burst Sensitivity of Different DetectorsDec 19 2002Jan 24 2003Gamma-ray burst detectors are sensitive at different energies, complicating the comparison of the burst populations that they detect. The instrument teams often report their detector sensitivities in their instruments' energy band. I propose that sensitivities ... More

Georges Lemaitre and Stiglers Law of EponymyJun 20 2011Nov 09 2012One of the greatest discoveries of modern times is that of the expanding Universe, almost invariably attributed to Hubble (1929). What is not widely known is that the original treatise by Lemaitre (1927) contained a rich fusion of both theory and of observation. ... More

Ohm's Law in the Fast Lane: General Relativistic Charge DynamicsDec 02 2003Fully relativistic and causal equations for the flow of charge in curved spacetime are derived. It is believed that this is the first set of equations to be published that correctly describes the flow of charge, and evolution of the electromagnetic field, ... More

Constrained Transport Algorithms for Numerical Relativity. I. Development of a Finite Difference SchemeDec 02 2003A scheme is presented for accurately propagating the gravitational field constraints in finite difference implementations of numerical relativity. The method is based on similar techniques used in astrophysical magnetohydrodynamics and engineering electromagnetics, ... More

The AKARI Deep Field South: Pushing to High RedshiftJan 06 2016The AKARI Deep Field South (ADF-S) is a large extragalactic survey field that is covered by multiple instruments, from optical to far-IR and radio. I summarise recent results in this and related fields prompted by the release of the Herschel far-IR/submm ... More

Perfect quantum state transfer with spinor bosons on weighted graphsJun 08 2006A duality between the properties of many spinor bosons on a regular lattice and those of a single particle on a weighted graph reveals that a quantum particle can traverse an infinite hierarchy of networks with perfect probability in polynomial time, ... More

The Chern-Simons invariants for the double of a compression bodyOct 22 2016Given a 3-manifold that can be written as the double of a compression body, we compute the Chern-Simons critical values for arbitrary compact connected structure groups. We also show that the moduli space of flat connections is connected when there are ... More

An index relation for the quilted Atiyah-Floer conjectureNov 16 2013May 07 2015Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer group as well as a quilted Lagrangian Floer group. Each of these is equipped with a chain level grading. We show that the gradings agree. ... More

Synopsis of DualityAug 07 2018Properties and examples of the dual transformation between two planes, which is such that the coordinates of a point in the original plane give the coefficients of a line in the dual plane and the coefficients of a line in the original plane give the ... More

Weitzenböck derivations of nilpotency 3Nov 01 2010Mar 14 2012We consider a Weitzenb\"ock derivation $\Delta$ acting on a polynomial ring $R=K[\xi_1,\xi_2,...,\xi_m]$ over a field $K$ of characteristic 0. The $K$-algebra $R^\Delta = \{h \in R \mid \Delta(h) = 0\}$ is called the algebra of constants. Nowicki considered ... More

Invariants for the Modular Cyclic Group of Prime Order via Classical Invariant TheoryDec 06 2009Oct 14 2011Let $F$ be any field of characteristic $p$. It is well-known that there are exactly $p$ inequivalent indecomposable representations $V_1,V_2,...,V_p$ of $C_p$ defined over $F$. Thus if $V$ is any finite dimensional $C_p$-representation there are non-negative ... More

Emerging applications of geometric multiscale analysisDec 01 2002Classical multiscale analysis based on wavelets has a number of successful applications, e.g. in data compression, fast algorithms, and noise removal. Wavelets, however, are adapted to point singularities, and many phenomena in several variables exhibit ... More

Compactness results for neck-stretching limits of instantonsDec 07 2012May 07 2015We prove that, under a suitable degeneration of the metric, instantons converge to holomorphic quilts. To prove the main results, we develop estimates for the Yang-Mills heat flow on surfaces and cobordisms.

Higher-rank instanton cohomology and the quilted Atiyah-Floer conjectureNov 21 2013May 07 2015Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer group as well as a quilted Lagrangian Floer group. The quilted Atiyah-Floer conjecture states that these cohomology groups are isomorphic. ... More

Chern-simons forms on associated bundles, and boundary termsJan 09 2006Let $E$ be a principle bundle over a compact manifold $M$ with compact structural group $G$. For any $G$-invariant polynomial $P$, The transgressive forms $TP(\omega)$ defined by Chern and Simons are shown to extend to forms $\Phi P(\omega)$ on associated ... More

Implicit Ligand Theory: Rigorous Binding Free Energies and Thermodynamic Expectations from Molecular DockingAug 24 2012A rigorous formalism for estimating noncovalent binding free energies and thermodynamic expectations from calculations in which receptor configurations are sampled independently from the ligand is derived. Due to this separation, receptor configurations ... More

Multiple Potentials of Mean Force from Biased Experiments Along a Single CoordinateJan 05 2007Mar 20 2007External biasing forces are often applied to enhance sampling in regions of phase space which would otherwise be rarely observed. While the typical goal of these experiments is to calculate the potential of mean force (PMF) along the biasing coordinate, ... More

Protein-Ligand Binding Potential of Mean Force Calculations with Hamiltonian Replica Exchange on Alchemical Interaction GridsJul 14 2015A binding potential of mean force (BPMF) is a free energy of noncovalent association in which one binding partner is flexible and the other is rigid. I have developed a method to calculate BPMFs for protein-ligand systems. The method is based on replica ... More

Mass Constraints from Eclipse Timing in Double White Dwarf BinariesJun 18 2010I demonstrate that an effect similar to the Roemer delay, familiar from timing radio pulsars, should be detectable in the first eclipsing double white dwarf (WD) binary, NLTT 11748. By measuring the difference of the time between the secondary and primary ... More

Disk Destruction and (Re)-Creation in the Magellanic CloudsOct 24 2013Unlike most satellite galaxies in the Local Group that have long lost their gaseous disks, the Magellanic Clouds are gas-rich dwarf galaxies most-likely on their first pericentric passage allowing us to study disk evolution on the smallest scales. The ... More

Multi-Dimensional Astrophysical Structural and Dynamical Analysis I. Development of a Nonlinear Finite Element ApproachJun 19 1998Nov 10 1998A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional spacetimes, etc.). ... More

Cooling ultracold bosons in optical lattices by spectral transformOct 24 2008It is shown theoretically how to directly obtain the energy distribution of a weakly interacting gas of bosons confined in an optical lattice in the tight-binding limit. This is accomplished by adding a linear potential to a suitably prepared lattice, ... More

The use of conflicts in searching Bayesian networksMar 06 2013This paper discusses how conflicts (as used by the consistency-based diagnosis community) can be adapted to be used in a search-based algorithm for computing prior and posterior probabilities in discrete Bayesian Networks. This is an "anytime" algorithm, ... More

A Gamma-Ray Burst Trigger ToolkitMay 31 2002Jul 08 2002(Abbreviated) The detection rate of a GRB detector can be increased by using a count rate trigger with many accumulation times Dt and energy bands DE, but the nominal sensitivity is less important than how much fainter a burst could be at the detection ... More

Sky Coverage and Burst RepetitionJan 09 1996To investigate the repeater content of gamma ray burst samples I develop two models where sources burst at a constant average rate. I find that the sky coverage affects the number of repeaters in a sample predominantly through the detector livetime, and ... More

Gamma-Ray Burst Spectral Evolution Through Crosscorrelations of Discriminator Light CurvesApr 21 1997Gamma-ray burst spectra usually show hard-to-soft evolution within intensity spikes and from spike to spike. The techniques used to study spectral evolution often lack sufficient temporal resolution to determine the nature of this evolution. By comparing ... More

On the components of the gauge group for PU(r)-bundlesNov 21 2013We discuss a general procedure for using characteristic classes to study the components of the gauge group for a principal G-bundle. To illustrate this, we work out the case where G is the projective unitary group.

Determining All Universal TilersOct 08 2011A universal tiler is a convex polyhedron whose every cross-section tiles the plane. In this paper, we introduce a certain slight-rotating operation for cross-sections of pentahedra. Based on a selected initial cross-section and by applying the slight-rotating ... More

On Universal TilersSep 05 2011A famous problem in discrete geometry is to find all monohedral plane tilers, which is still open to the best of our knowledge. This paper concerns with one of its variants that to determine all convex polyhedra whose every cross-section tiles the plane. ... More

Error-correcting one-way quantum computation with global entangling gatesAug 05 2009We present an approach to one-way quantum computation (1WQC) that can compensate for single-qubit errors, by encoding the logical information residing on physical qubits into five-qubit error-correcting code states. A logical two-qubit cluster state that ... More

Edge local complementation for logical cluster statesMay 19 2011A method is presented for the implementation of edge local complementation in graph states, based on the application of two Hadamard operations and a single controlled-phase (CZ) gate. As an application, we demonstrate an efficient scheme to construct ... More

High Resolution Optical Spectroscopy of a Newly Discovered Post-AGB Star with a Surprising Metallicity in the Globular Cluster M79Jun 19 2009Jul 15 2009An abundance analysis based on a high-resolution spectrum is presented for a newly discovered post-AGB star in the globular cluster M79. The surprising result is that the iron abundance of the star is apparently about 0.6 dex less than that of the cluster's ... More

3-3-1 Models with Unique Lepton GenerationsSep 20 2005Nov 08 2005We study previously unconsidered 3-3-1 models which are characterized by each lepton generation having a different representation under the gauge group. Flavor-changing neutral currents in the lepton sector occur in these models. To satisfy constraints ... More

Crowding effects on the mechanical stability and unfolding pathways of UbiquitinNov 05 2008The interior of cells is crowded thus making it important to assess the effects of macromolecules on the folding of proteins. Using the Self-Organized Polymer (SOP) model, which is a coarse-grained representation of polypeptide chains, we probe the mechanical ... More

Carbon and Oxygen abundances across the Hertzsprung gapJul 08 2014We derived atmospheric parameters and spectroscopic abundances for C and O for a large sample of stars located in the Hertzsprung gap in the Hertzsprung-Russell Diagram in order to detect chemical peculiarities and get a comprehensive overview of the ... More

On the Origin of SulfurOct 05 2005We present our work on the halo evolution of sulfur, based on observations of the S I lines around 9220 A for ten stars for which the S abundance was obtained previously from much weaker S I lines at 8694 A. We cannot confirm the rise and the high [S/Fe] ... More

Volume-minimizing foliations on spheresFeb 18 2004The volume of a k-dimensional foliation $\mathcal{F}$ in a Riemannian manifold $M^{n}$ is defined as the mass of image of the Gauss map, which is a map from M to the Grassmann bundle of k-planes in the tangent bundle. Generalizing a construction by Gluck ... More

Ricci flow on three-dimensional, unimodular metric Lie algebrasSep 04 2009We give a global picture of the Ricci flow on the space of three-dimensional, unimodular, nonabelian metric Lie algebras considered up to isometry and scaling. The Ricci flow is viewed as a two-dimensional dynamical system for the evolution of structure ... More

Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnafé and KemperNov 11 2015Aug 14 2016Consider a finite dimensional vector space $V$ over a finite field $\mathbb{F}_q$. We give a minimal generating set for the ring of invariants $\mathbb{F}_q[V \oplus V^*]^{\text{GL}(V)}$, and show that this ring is a Gorenstein ring but is not a complete ... More

Magnetic Field-Decay-Induced Electron Captures: a Strong Heat Source in Magnetar CrustsOct 14 2009Dec 03 2009We propose a new heating mechanism in magnetar crusts. Magnetars' crustal magnetic fields are much stronger than their surface fields; therefore, magnetic pressure partially supports the crust against gravity. The crust loses magnetic pressure support ... More

All-optical transistor action by off-resonant activation at laser thresholdOct 06 2009The development of viable all-optical data processing systems has immense importance for both the computing and telecommunication industries, but device realization remains elusive. In this Letter, we propose an innovative mechanism deployed as a basis ... More

A Magnetohydrodynamic Model of the M87 Jet I: Superluminal Knot Ejections from HST-1 as Trails of Quad Relativistic MHD ShocksAug 20 2010This is the first in a series of papers that introduces a new paradigm for understanding the jet in M87: a collimated relativistic flow in which strong magnetic fields play a dominant dynamical role. Here wefocus on the flow downstream of HST-1 - an essentially ... More

Mg isotope ratios in giant stars of the globular clusters M 13 and M 71Oct 19 2005We present Mg isotope ratios in 4 red giants of the globular cluster M 13 and 1 red giant of the globular cluster M 71 based on spectra obtained with HDS on the Subaru Telescope. We confirm earlier results by Shetrone that for M 13, the ratio varies from ... More

Brane worlds with boltsSep 12 2001Feb 13 2002We construct a family of (p+3)-dimensional brane worlds in which the brane has one compact extra dimension, the bulk has two extra dimensions, and the bulk closes regularly at codimension two submanifolds known as bolts. The (p+1)-dimensional low energy ... More

Strongly nonlinear nature of interfacial-surfactant instability of Couette flowJan 12 2006Oct 27 2006Nonlinear stages of the recently uncovered instability due to insoluble surfactant at the interface between two fluids are investigated for the case of a creeping plane Couette flow with one of the fluids a thin film and the other one a much thicker layer. ... More

On-brane data for braneworld starsDec 30 2002Feb 20 2003Stellar structure in braneworlds is markedly different from that in ordinary general relativity. As an indispensable first step towards a more general analysis, we completely solve the ``on brane'' 4-dimensional Gauss and Codazzi equations for an arbitrary ... More

Coherent Tunneling of Atoms from Bose-condensed Gases at Finite TemperaturesNov 02 2001Jan 16 2002Tunneling of atoms between two trapped Bose-condensed gases at finite temperatures is explored using a many-body linear response tunneling formalism similar to that used in superconductors. To lowest order, the tunneling currents can be expressed quite ... More

Isotropic-nematic transition in liquid crystals confined between rough wallsNov 08 2005The effect of rough walls on the phase behaviour of a confined liquid crystal (LC) fluid is studied using constant pressure Monte Carlo simulations. The LC is modelled as a fluid of soft ellipsoidal molecules and the rough walls are represented as a hard ... More

Neon and CNO Abundances for Extreme Helium Stars -- A Non-LTE AnalysisNov 23 2010A non-LTE (NLTE) abundance analysis was carried out for three extreme helium stars (EHes): BD+10 2179, BD-9 4395, and LS IV+6 002, from their optical spectra with NLTE model atmospheres. NLTE TLUSTY model atmospheres were computed with H, He, C, N, O, ... More

Phase transitions with four-spin interactionsJun 04 2010Using an extended Lee-Yang theorem and GKS correlation inequalities, we prove, for a class of ferromagnetic multi-spin interactions, that they will have a phase transition(and spontaneous magnetization) if, and only if, the external field $h=0$ (and the ... More

Optimally Tuned Iterative Reconstruction Algorithms for Compressed SensingSep 03 2009We conducted an extensive computational experiment, lasting multiple CPU-years, to optimally select parameters for two important classes of algorithms for finding sparse solutions of underdetermined systems of linear equations. We make the optimally tuned ... More

A Modified Histogram Method for Disordered LatticesAug 31 2012Sep 09 2013A new method is developed to extend the histogram method to lattices with any type of disorder. The Monte Carlo single- and multiple-histogram methods were developed to get the most out of only a few simulations, but are restricted to simulations with ... More

Derived Categories of BHK MirrorsFeb 18 2016We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hubsch-Krawitz ... More

High Level Path Planning with UncertaintyMar 20 2013For high level path planning, environments are usually modeled as distance graphs, and path planning problems are reduced to computing the shortest path in distance graphs. One major drawback of this modeling is the inability to model uncertainties, which ... More

Proof of a Conjecture of Batyrev and NillDec 03 2014Oct 16 2016We prove equivalences of derived categories for the various mirrors in the Batyrev-Borisov construction. In particular, we obtain a positive answer to a conjecture of Batyrev and Nill. The proof involves passing to an associated category of singularities ... More

Fractional Calabi-Yau Categories from Landau-Ginzburg ModelsOct 16 2016Jun 22 2017We give criteria for the existence of a Serre functor on the derived category of a gauged Landau-Ginzburg model. This is used to provide a general theorem on the existence of an admissible (fractional) Calabi-Yau subcategory of a gauged Landau-Ginzburg ... More

Chaos and periodicity on star graphsDec 24 2016For a continuous self-map of a star graph to be Li-Yorke chaotic and to have full periodicity, we prove some new sufficient conditions on the orbit of the center.

On invariant fields of vectors and covectorsAug 04 2017Sep 07 2017Let ${\mathbb{F}_{q}}$ be the finite field of order $q$. Let $G$ be one of the three groups ${\rm GL}(n, \mathbb{F}_q)$, ${\rm SL}(n, \mathbb{F}_q)$ or ${\rm U}(n, \mathbb{F}_q)$ and let $W$ be the standard $n$-dimensional representation of $G$. For non-negative ... More

Torelli theorem for the parabolic Deligne-Hitchin moduli spaceJul 14 2016We prove that, given the isomorphism class of the parabolic Deligne-Hitchin moduli space over a smooth projective curve, we can recover the isomorphism class of the curve and the parabolic points.

Surprising Metallicity of a Newly Discovered M79 Post-AGB StarOct 29 2009A detailed chemical composition analysis based on a high-resolution (R=35,000) CCD spectrum is presented for a newly discovered post-AGB star in the globular cluster M79 for the first time. The elemental abundance results of M79 Post-AGB star are found ... More

Towards Solving the Multiple Extension Problem: Combining Defaults and ProbabilitiesMar 27 2013The multiple extension problem arises frequently in diagnostic and default inference. That is, we can often use any of a number of sets of defaults or possible hypotheses to explain observations or make Predictions. In default inference, some extensions ... More

Magnetic topology and current channels in plasmas with toroidal current density inversionsApr 03 2013The equilibrium magnetic field inside axisymmetric plasmas with inversions on the toroidal current density is studied. Structurally stable non-nested magnetic surfaces are considered. For any inversion in the internal current density the magnetic families ... More

Limitations of X-ray reflectometry in the presence of surface contaminationMar 13 2012Intentionally deposited thin films exposed to atmosphere often develop unintentionally deposited few monolayer films of surface contamination. This contamination arises from the diverse population of volatile organics and inorganics in the atmosphere. ... More