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Reevaluating of the feasibility of ground-based earth-mass microlensing planet detectionsMar 05 2014One important strength of the microlensing method in detecting extrasolar planets is its high sensitivity to low-mass planets. However, it is often believed that microlensing detections of Earth-mass planets from ground-based observation would be difficult ... More

Measurement of Source Star Colors with the K2C9-CFHT Multi-color Microlensing SurveyMar 25 2018K2 Campaign 9 (K2C9) was the first space-based microlensing parallax survey capable of measuring microlensing parallaxes of free-floating planet candidate microlensing events. Simultaneous to K2C9 observations we conducted the K2C9 Canada-France-Hawaii ... More

SemiCompRisks: An R Package for Independent and Cluster-Correlated Analyses of Semi-Competing Risks DataJan 10 2018Apr 05 2018Semi-competing risks refer to the setting where primary scientific interest lies in estimation and inference with respect to a non-terminal event, the occurrence of which is subject to a terminal event. In this paper, we present the R package SemiCompRisks ... More

Characterization of Stellar Spots in Next-Generation Microlensing SurveysDec 03 2009One of the important microlensing applications to stellar atmospheres is the study of spots on stellar surface provided by the high resolution of caustic-crossing binary-lens events. In this paper, we investigate the characteristics of spot-induced perturbations ... More

The Importance of Binary Gravitational Microlensing Events Through High-Magnification ChannelNov 30 2009We estimate the detection efficiency of binary gravitational lensing events through the channel of high-magnification events. From this estimation, we find that binaries in the separations ranges of 0.1 < s < 10, 0.2 < s < 5, and 0.3 < s < 3 can be detected ... More

Entangled States Generated via Two Superconducting Quantum Interference Devices(SQUIDs) in cavity QEDJan 21 2006We propose a scheme for generating entangled states for two superconducting quantum interference devices in a thermal cavity with the assistance of a microwave pulse.

The Korea Microlensing Telescope Network (KMTNet) Alert Algorithm and Alert SystemJun 20 2018We describe a new microlensing-event alert algorithm that is tailored to the Korea Microlensing Telescope Network (KMTNet) multi-observatory system. The algorithm focuses on detecting "rising" events, i.e., events whose brightness is increasing as a function ... More

KMT-2016-BLG-1107: A New Hollywood-Planet Close/Wide DegeneracyMay 22 2018Nov 13 2018We show that microlensing event KMT-2016-BLG-1107 displays a new type of degeneracy between wide-binary and close-binary Hollywood events in which a giant-star source envelops the planetary caustic. The planetary anomaly takes the form of a smooth, two-day ... More

Kmt-2016-blg-1397b: Kmtnet-only discovery of a microlens giant planetOct 25 2018We report the discovery of a giant planet in the KMT-2016-BLG-1397 microlensing event, which was found by The Korea Microlensing Telescope Network (KMTNet) alone. The time scale of this event is t_E = 40.0 +- 0.5 days and the mass ratio between the lens ... More

KMT-2016-BLG-1820 and KMT-2016-BLG-2142: Two Microlensing Binaries Composed of Planetary-mass Companions and Very-Low-Mass PrimariesMay 25 2018Sep 18 2018We present the analyses of two short-timescale $(t_{\rm E} \sim 5~{\rm days})$ microlensing events, KMT-2016-BLG-1820 and KMT-2016-BLG-2142. In both light curves, the brief anomalies were clearly captured and densely covered by the Korea Microlensing ... More

Origin of New Broad Raman D and G Peaks in Annealed GrapheneOct 30 2013Since graphene, a single sheet of graphite, has all of its carbon atoms on the surface, its property is very sensitive to materials contacting the surface. Herein, we report novel Raman peaks ob-served in annealed graphene and elucidate their chemical ... More

On adiabatic evolution for a general time-dependent quantum systemJan 18 2011The unitary operator corresponding to the classical canonical transformation that connects a general closed system to an open system under adiabatic conditions is found. The quantum invariant operator of the adiabatic open system is derived from the unitary ... More

False Positive Reduction by Actively Mining Negative Samples for Pulmonary Nodule Detection in Chest RadiographsJul 26 2018Generating large quantities of quality labeled data in medical imaging is very time consuming and expensive. The performance of supervised algorithms for various tasks on imaging has improved drastically over the years, however the availability of data ... More

KMT-2016-BLG-2052L: Microlensing Binary Composed of M Dwarfs Revealed from a Very Long Time-scale EventJul 30 2018We present the analysis of a binary microlensing event KMT-2016-BLG-2052, for which the lensing-induced brightening of the source star lasted for 2 seasons. We determine the lens mass from the combined measurements of the microlens parallax $\pie$ and ... More

KMT-2017-BLG-0165Lb: A Super-Neptune mass planet Orbiting a Sun-like Host StarSep 05 2018Dec 27 2018We report the discovery of a low mass-ratio planet $(q = 1.3\times10^{-4})$, i.e., 2.5 times higher than the Neptune/Sun ratio. The planetary system was discovered from the analysis of the KMT-2017-BLG-0165 microlensing event, which has an obvious short-term ... More

Correlations Between Planetary Microlensing ParametersSep 02 2010Characterization of microlensing planets requires modeling of observed light curves including many parameters. Studying the dependency of the pattern of light curves on the lensing parameters and the correlations between the parameters is important to ... More

Improved Absolute Frequency Measurement of the 171Yb Optical Lattice Clock at KRISS Relative to the SI SecondJan 17 2017Jan 18 2017We measured the absolute frequency of the $^1S_0$ - $^3P_0$ transition of $^{171}$Yb atoms confined in a one-dimensional optical lattice relative to the SI second. The determined frequency was 518 295 836 590 863.38(57) Hz. The uncertainty was reduced ... More

MOA-2016-BLG-319Lb: Microlensing Planet Subject to Rare Minor-Image Perturbation Degeneracy in Determining Planet ParameterSep 21 2018We present the analysis of the planetary microlensing event MOA-2016-BLG-319. The event light curve is characterized by a brief ($\sim 3$ days) anomaly near the peak produced by minor-image perturbations. From modeling, we find two distinct solutions ... More

Designed Three-Dimensional Freestanding Single-Crystal Carbon ArchitecturesDec 01 2014Single-crystal carbon nanomaterials have led to great advances in nanotechnology. The first single-crystal carbon nanomaterial, fullerene, was fabricated in a zero-dimensional form. One-dimensional carbon nanotubes and two-dimensional graphene have since ... More

A Planetary lensing feature in caustic-crossing high-magnification microlensing eventsMar 19 2012Current microlensing follow-up observations focus on high-magnification events because of the high efficiency of planet detection. However, central perturbations of high-magnification events caused by a planet can also be produced by a very close or a ... More

OGLE-2018-BLG-0022: First Prediction of an Astrometric Microlensing Signal from a Photometric Microlensing EventMar 30 2019Apr 04 2019In this work, we present the analysis of the binary microlensing event OGLE-2018-BLG-0022 that is detected toward the Galactic bulge field. The dense and continuous coverage with the high-quality photometry data from ground-based observations combined ... More

OGLE-2016-BLG-0156: Microlensing Event With Pronounced Microlens-Parallax Effects Yielding Precise Lens Mass MeasurementJan 19 2019We analyze the gravitational binary-lensing event OGLE-2016-BLG-0156, for which the lensing light curve displays pronounced deviations induced by microlens-parallax effects. The light curve exhibits 3 distinctive widely-separated peaks and we find that ... More

A Cold Neptune Beyond the Snow Line in the Provisional $\textit{WFIRST}$ FieldSep 28 2018We present the analysis of the microlensing event OGLE-2015-BLG-1670, detected in a high extinction field, very close to the Galactic plane. Due to the dust extinction along the line of sight, this event was too faint to be detected before it reached ... More

$Spitzer$ Microlensing Parallax for OGLE-2017-BLG-0896 Reveals a Counter-Rotating Low-Mass Brown DwarfMay 22 2018Jan 18 2019The kinematics of isolated brown dwarfs in the Galaxy, beyond the solar neighborhood, is virtually unknown. Microlensing has the potential to probe this hidden population, as it can measure both the mass and five of the six phase-space coordinates (all ... More

Spitzer Microlensing of MOA-2016-BLG-231L : A Counter-Rotating Brown Dwarf Binary in the Galactic DiskFeb 08 2019Feb 12 2019We analyze the binary microlensing event MOA-2016-BLG-231, which was observed from the ground and from Spitzer. The lens is composed of very low-mass brown dwarfs (BDs) with $M_1 = 21^{+12}_{-5} \ M_J$ and $M_2 = 9^{+5}_{-2}\ M_J$, and it is located in ... More

Injection Scheme with Deflecting Cavity for Ultimate Storage RingJul 24 2018We suggest a new on-axis injection scheme that uses two deflecting cavities to remove the tilt of the stored beam, and to kick the injected beam into the ring. In this new injection scheme, an injected beam with a certain angle is overlaid on the stored ... More

A parametrization of the baryon octet and decuplet massesNov 27 2007May 05 2008We construct a general parametrization of the baryon octet and decuplet mass operators including the three-body terms using the unit operator and the symmetry-breaking factors $M^d=\textrm{diag} (0,1,0)$ and $M^s=\textrm{diag} (0,0,1)$ in conjunction ... More

Decuplet baryon magnetic moments in a QCD-based quark model beyond quenched approximationApr 23 1998We study the decuplet baryon magnetic moments in a QCD-based quark model beyond quenched approximation. Our approach for unquenching the theory is based on the heavy baryon perturbation theory in which the axial couplings for baryon - meson and the meson-meson-photon ... More

Instability of strong magnetic field and neutrino magnetic dipole momentOct 18 2016Vacuum instability of the strong electromagnetic field has been discussed since long time ago. The instability of the strong electric field due to creation of electron pairs is one of the examples, which is known as Schwinger process. What matters are ... More

Frankel's theorem in the symplectic categoryApr 01 2002Sep 06 2004We prove that if an (n-1)-dimensional torus acts symplectically on a 2n-dimensional manifold, then the action has a fixed point if and only if the action is Hamiltonian. One may regard it as a symplectic version of Frankel theorem. The case of n=2 is ... More

The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantizationNov 19 2012Feb 22 2016Quantization of universal Teichm\"uller space provides projective representations of the Ptolemy-Thompson group, which is isomorphic to the Thompson group $T$. This yields certain central extensions of $T$ by $\mathbb{Z}$, called dilogarithmic central ... More

Finite dimensional quantum Teichmüller space from the quantum torus at root of unityMar 16 2017Aug 24 2018Representation theory of the quantum torus Hopf algebra, when the parameter $q$ is a root of unity, is studied. We investigate a decomposition map of the tensor product of two irreducibles into the direct sum of irreducibles, realized as a `multiplicity ... More

Phase constants in the Fock-Goncharov quantization of cluster varieties: long versionFeb 01 2016Feb 22 2016A cluster variety of Fock and Goncharov is a scheme constructed from the data related to the cluster algebras of Fomin and Zelevinsky. A seed is a combinatorial data which can be encoded as an $n\times n$ matrix with integer entries, or as a quiver in ... More

Constraints on Velocity Dispersion Function of Early-type Galaxies from the Statistics of Strong Gravitational LensingJan 18 2005May 30 2005We use the distribution of gravitationally-lensed image separations observed in the Cosmic Lens All-Sky Survey (CLASS) and the PMN-NVSS Extragalactic Lens Survey (PANELS), which are (nearly) complete for the image separation range $0''.3 \le \Delta \theta ... More

Galaxy evolution from strong lensing statistics: the differential evolution of the velocity dispersion function in concord with the LambdaCDM paradigmNov 04 2008Nov 21 2009We study galaxy evolution from z=1 to z=0 as a function of velocity dispersion sigma for galaxies with sigma > 95 km/s based on the measured and Monte Carlo realised local velocity dispersion functions (VDFs) of galaxies and the revised statistical properties ... More

Fast and Accurate Fourier Series Solutions to Gravitational Lensing by A General Family of Two Power-Law Mass DistributionsDec 10 2001Fourier series solutions to the deflection and magnification by a family of three-dimensional cusped two power-law ellipsoidal mass distributions are presented. The cusped two power-law ellipsoidal mass distributions are characterized by inner and outer ... More

Phase constants in the Fock-Goncharov quantum cluster varietiesFeb 02 2016Jan 22 2019A cluster variety of Fock and Goncharov is a scheme constructed by gluing split algebraic tori, called seed tori, via birational gluing maps called mutations. In quantum theory, the ring of functions on seed tori are deformed to non-commutative rings, ... More

OGLE-2017-BLG-1186: first application of asteroseismology and Gaussian processes to microlensingApr 16 2019We present the analysis of the event OGLE-2017-BLG-1186 from the 2017 $Spitzer$ microlensing campaign. This event is remarkable because its source is photometrically variable. We perform an asteroseismic analysis of the source star and find that it is ... More

Limits of Binaries That Can Be Characterized by Gravitational MicrolensingAug 15 2008Due to the high efficiency of planet detections, current microlensing planet searches focus on high-magnification events. High-magnification events are sensitive to remote binary companions as well and thus a sample of wide-separation binaries are expected ... More

Lattice-mismatched semiconductor heterostructuresDec 26 2018Semiconductor heterostructure is a critical building block for modern semiconductor devices. However, forming semiconductor heterostructures of lattice-mismatch has been a great challenge for several decades. Epitaxial growth is infeasible to form abrupt ... More

Representation Mixing and Exotic Baryons in the Skyrme ModelJun 04 2004Jul 28 2004We study the effect of representation mixing in the SU(3) Skyme model by diagonalizing exactly the representation-dependent part. It is observed that even without the next-to-leading order symmetry breaking terms the low-lying baryon masses as well as ... More

Almost sure local wellposedness of energy critical fractional Schrödinger equations with hartree nonlinearityApr 24 2015Apr 28 2015We consider a Cauchy problem of energy-critical fractional Schr\"odinger equation with Hartree nonlinearity below the energy space. Using a method of randomization of functions on $\mathbb{R}^d$ associated with the Wiener decomposition, introduced by ... More

Computational Power and the Social Impact of Artificial IntelligenceMar 23 2018Machine learning is a computational process. To that end, it is inextricably tied to computational power - the tangible material of chips and semiconductors that the algorithms of machine intelligence operate on. Most obviously, computational power and ... More

Half-Skyrmion Hadronic Matter at High DensityMay 03 2009The hadronic matter described as a skyrmion matter embedded in an FCC crystal is found to turn into a half-skyrmion matter with vanishing (in the chiral limit) quark condensate and {\em non-vanishing} pion decay constant at a density $n_{1/2S}$ lower ... More

Hyperons and Condensed Kaons in Compact StarsJan 01 2013Using the Callan-Klebanov bound state model for hyperons simulated on crystal lattice to describe strange baryonic matter, we argue that to ${\cal O} (1)$ in the large $N_c$ counting to which the theory is robust, hyperons can figure only when -- or after ... More

Dilatons for Dense Hadronic MatterOct 05 2009The idea that the explicit breaking of scale invariance by the trace anomaly of QCD can be rephrased as a spontaneous breaking has been recently exploited to capture the low-energy strong interaction dynamics of dense (and also hot) matter in terms of ... More

Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact StarsJan 31 2012Dec 10 2012The nuclear symmetry energy figures crucially in the structure of asymmetric nuclei and, more importantly, in the equation of state (EoS) of compact stars. At present it is almost totally unknown, both experimentally and theoretically, in the density ... More

Outlining an elegant solver for 3-SATMay 13 2009Apr 11 2011The purpose of this article is to incite clever ways to attack problems. It advocates in favor of more elegant algorithms, in place of brute force (albeit its very well crafted) usages.

A complete characterization of the blow-up solutions to discrete $p$-Laplacian parabolic equations with $q$-reaction under the mixed boundary conditionsJan 10 2019In this paper, we consider discrete $p$-Laplacian parabolic equations with $q$-reaction term under the mixed boundary condition and the initial condition as follows: \begin{equation*} \begin{cases} u_{t}\left(x,t\right) = \Delta_{p,\omega} u\left(x,t\right) ... More

Nuclear Symmetry Energy with Strangeness in Heavy Ion CollisionMay 20 2014Jun 29 2014The role of anti-kaons in the symmetry energy to be determined in heavy-ion collisions as for instance in such observables as the $\pi^-/\pi^+$ ratio is discussed using a simple chiral Lagrangian. It is shown, with some mild assumptions, that kaons, when ... More

Topology Change and Tensor Forces for the EoS of Dense Baryonic MatterJun 19 2013Jul 01 2013When skyrmions representing nucleons are put on crystal lattice and compressed to simulate high density, there is a transition above the normal nuclear matter density $n_0$ from a matter consisting of skyrmions with integer baryon charge to a state of ... More

Rotation Symmetry and Nonabelian Berry PotentialOct 09 1992We study the role of rotational symmetry in the systems where nonabelian Berry potentials emerge as a result of integrating out fast degrees of freedom. The conserved angular momentum is constructed in the presence of a non-abelian Berry potential, which ... More

On preperiodic points of rational functions defined over $\mathbb{F}_p(t)$Jan 27 2016Let $P\in\mathbb{P}_1(\mathbb{Q})$ be a periodic point for a monic polynomial with coefficients in $\mathbb{Z}$. With elementary techniques one sees that the minimal periodicity of $P$ is at most $2$. Recently we proved a generalization of this fact to ... More

Young tableaux, canonical bases and the Gindikin-Karpelevich formulaMay 27 2012Apr 08 2013A combinatorial description of the crystal B(infinity) for finite-dimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases ... More

Dilatons in Dense Baryonic MatterApr 24 2013We discuss the role of dilaton, which is supposed to be representing a special feature of scale symmetry of QCD, trace anomaly, in dense baryonic matter. The idea that the scale symmetry breaking of QCD is responsible for the spontaneous breaking of chiral ... More

Dilatons in Hidden Local Symmetry for Hadrons in Dense MatterFeb 19 2009Feb 21 2009With the explicit breaking of scale invariance by the trace anomaly of QCD rephrased in terms of spontaneous breaking, low-energy strong interaction dynamics of dense (and also hot) matter can be effectively captured by -- in addition to the Nambu-Goldstone ... More

Vanishing of Nonabelian Berry Phases in Heavy Solitonic BaryonsFeb 18 1993In this article, we show -- using a reasoning applicable to both the excitation spectrum in the chiral bag model and the hyperfine structure of diatomic molecules -- that the generic form of a non- abelian Berry potential appears in heavy-quark effective ... More

Surface Sensitive Microfluidic Optomechanical SensorsJul 08 2014The microfluidic optomechanical resonator (uFOMR) based on a thin-walled glass capillary supports high Q-factor (>1000) mechanical modes in the presence of liquids. In this Letter, the sensitivity of the uFOMR to the surface change is studied by layer-by-layer ... More

Enhancement of Real Time EPICS IOC PV Management for Data Archiving SystemJul 31 2015For operating a 100MeV linear proton accelerator, the major driving values and experimental data need to be archived. According to the experimental conditions, different data are required. It is necessary to implement functions that can add new data and ... More

Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued LearningAug 19 2016This paper presents a framework for computing random operator-valued feature maps for operator-valued positive definite kernels. This is a generalization of the random Fourier features for scalar-valued kernels to the operator-valued case. Our general ... More

Sub-Hopf algebras of the Steenrod algebra and the Singer transferMar 27 2009The Singer transfer provides an interesting connection between modular representation theory and the cohomology of the Steenrod algebra. We discuss a version of `Quillen stratification' theorem for the Singer transfer and its consequences.

Reduced ideals from the reduction algorithmNov 20 2017Aug 16 2018The reduction algorithm is used to compute reduced ideals of a number field. However, there are reduced ideals that can never be obtained from this algorithm. In this paper, we will show that these ideals have inverses of larger norms among reduced ones. ... More

A generalization of reduced Arakelov divisors of a number fieldMay 09 2015May 25 2016Let $C \geq 1$. Inspired by the LLL-algorithm, we define strongly $C$-reduced divisors of a number field $F$ which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly $C$-reduced Arakelov divisors still retain ... More

Integrating Reinforcement Learning to Self Training for Pulmonary Nodule Segmentation in Chest X-raysNov 21 2018Machine learning applications in medical imaging are frequently limited by the lack of quality labeled data. In this paper, we explore the self training method, a form of semi-supervised learning, to address the labeling burden. By integrating reinforcement ... More

Infinite-dimensional Log-Determinant divergences II: Alpha-Beta divergencesOct 13 2016This work presents a parametrized family of divergences, namely Alpha-Beta Log- Determinant (Log-Det) divergences, between positive definite unitized trace class operators on a Hilbert space. This is a generalization of the Alpha-Beta Log-Determinant ... More

How cholesterol could be drawn to the cytoplasmic leaf of the plasma membrane by phosphatidylethanolamineAug 11 2014Oct 17 2014In the mammalian plasma membrane, cholesterol can translocate rapidly between the exoplasmic and cytoplasmic leaves, so that its distribution between them should be given by the equality of its chemical potential in the leaves. Due to its favorable interaction ... More

A new theorem for black holesMar 26 2007A new theorem for black holes is established. The mass of a black hole depends on where the observer is. The horizon mass theorem states that for all black holes: neutral, charged or rotating, the horizon mass is always twice the irreducible mass observed ... More

Horizon Mass TheoremSep 15 2005A new theorem for black holes is found. It is called the horizon mass theorem. The horizon mass is the mass which cannot escape from the horizon of a black hole. For all black holes: neutral, charged or rotating, the horizon mass is always twice the irreducible ... More

A Hennings type invariant of $3$-manifolds from a topological Hopf superalgebraJun 21 2018We prove the unrolled superalgebra $\mathcal{U}_{\xi}^{H}\mathfrak{sl}(2|1)$ has a completion which is a ribbon superalgebra in a topological sense where $\xi$ is a root of unity of odd order. Using this ribbon superalgebra we construct its universal ... More

Regularized divergences between covariance operators and Gaussian measures on Hilbert spacesApr 10 2019This work presents an infinite-dimensional generalization of the correspondence between the Kullback-Leibler and R\'enyi divergences between Gaussian measures on Euclidean space and the Alpha Log-Determinant divergences between symmetric, positive definite ... More

Quantum Black Holes As Elementary ParticlesDec 30 2008Are black holes elementary particles? Are they fermions or bosons? We investigate the remarkable possibility that quantum black holes are the smallest and heaviest elementary particles. We are able to construct various fundamental quantum black holes: ... More

Stabilization/destabilization of cell membranes by multivalent ions: Implications for membrane fusion and divisionMay 31 2000Jun 02 2000We propose a mechanism for the stabilization/destabilization of cell membranes by multivalent ions with an emphasis on its implications for the division and fusion of cells. We find that multivalent cations preferentially adsorbed onto a membrane dramatically ... More

A note on independence number, connectivity and $k$-ended treeOct 26 2018A $k$-ended tree is a tree with at most $k$ leaves. In this note, we give a simple proof for the following theorem. Let $G$ be a connected graph and $k$ be an integer ($k\geq 2$). Let $S$ be a vertex subset of $G$ such that $\alpha_{G}(S) \leq k + \kappa_{G}(S)- ... More

The $a$-values of the Riemann zeta function near the critical lineNov 24 2017We study the value distribution of the Riemann zeta function near the line $\Re s = 1/2$. We find an asymptotic formula for the number of $a$-values in the rectangle $ 1/2 + h_1 / (\log T)^\theta \leq \Re s \leq 1/2+ h_2 /(\log T)^\theta $, $T \leq \Im ... More

Dimensionality Decrease Heuristics for NP Complete ProblemsApr 11 2011The vast majority of scientific community believes that P!=NP, with countless supporting arguments. The number of people who believe otherwise probably amounts to as few as those opposing the 2nd Law of Thermodynamics. But isn't nature elegant enough, ... More

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fieldsJan 12 2019We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

Spanning trees in a Claw-free graph whose stems have at most $k$ branch verticesFeb 27 2018Let $T$ be a tree, a vertex of degree one and a vertex of degree at least three is called a leaf and a branch vertex, respectively. The set of leaves of $T$ is denoted by $Leaf(T)$. The subtree $T-Leaf(T)$ of $T$ is called the stem of $T$ and denoted ... More

Electromagnetic corrections to baryon massesFeb 09 2005We analyze the electromagnetic contributions to the octet and decuplet baryon masses using the heavy baryon approximation in chiral effective field theory and methods we developed in earlier analyses of the baryon masses and magnetic moments. Our methods ... More

Baryon masses in a loop expansion with form factorJul 08 1998Oct 28 1998We show that the average multiplet masses in the baryon octet and decuplet can be fitted with an average error of only $0.5\pm 0.3$ MeV in a meson loop expansion with chiral SU(6) couplings, with the hadrons treated as composite particles using a baryon-meson ... More

Multigraded regularity, a*-invariant and the minimal free resolutionJan 26 2005Jan 18 2007In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been developed, namely multigraded regularity, defined by the vanishing of multigraded pieces of local cohomology modules, and the resolution regularity vector, ... More

Linear time algorithm for computing the rank of divisors on cactus graphsJan 12 2016Rank of divisor on graph was introduced in 2007 and it quickly attracts many attentions. Recently, in 2015 the problem for computing this quantity was proved to be NP-hard. In this paper, we describe a linear time algorithm for this problem limited on ... More

Severe Challenges In Gravity TheoriesJun 29 2011Gravity is specifically the attractive force between two masses separated at a distance. Is this force a derived or a fundamental interaction? We believe that all fundamental interactions are quantum in nature but a derived interaction may be classical. ... More

Are Black Holes Elementary Particles?Jun 19 2009Quantum black holes are the smallest and heaviest conceivable elementary particles. They have a microscopic size but a macroscopic mass. Several fundamental types have been constructed with some remarkable properties. Quantum black holes in the neighborhood ... More

The Gravitational Energy of a Black HoleAug 10 2005An exact energy expression for a physical black hole is derived by considering the escape of a photon from the black hole. The mass of the black hole within its horizon is found to be twice its mass as observed at infinity. This result is important in ... More

An optimal discrimination of two mixed qubit states with a fixed rate of inconclusive resultsAug 09 2016In this paper we consider the optimal discrimination of two mixed qubit states for a measurement that allows a fixed rate of inconclusive results(FRIR). Our strategy for the problem is to transform the FRIR of two qubit states into a minimum error discrimination ... More

Topological invariants from quantum group $\mathcal{U}_q\mathfrak{sl}(2|1)$ at root of unityJul 13 2016Sep 21 2016In this article we construct the links invariants and 3-manifolds invariants from the quantum group associated with Lie superalgebra $\mathfrak{sl}(2|1)$. This construction based on nilpotent irreducible finite dimensional representations of quantum group ... More

Eikonal and asymptotic fits to high energy data for $σ$, $ρ$, and $B$: An update with curvature correctionsOct 25 2018Dec 09 2018We update our eikonal fit and comprehensive asymptotic fits to high energy data on proton--proton and antiproton--proton scattering for $\sigma_{\rm tot}$, $\sigma_{\rm elas}$, $\sigma_{\rm inel}$, $\rho$, and $B$. The fits include the new TOTEM values ... More

Fredholm modules and the Beilinson-Bloch regulatorSep 09 2015Sep 22 2015We prove an operator-theoretic reconstruction of the Beilinson-Bloch regulator for compact Riemann surfaces, using loop operators and the Connes-Karoubi character for Fredholm modules. The proof includes a new computation of the Connes-Karoubi character ... More

String theoretic axion coupling and the evolution of cosmic structuresJul 06 1999We examine the effects of the axion coupling to $R\tilde{R}$ on the evolution of cosmic structures. It is shown that the evolutions of the scalar- and vector-type perturbations are not affected by this axion coupling. However the axion coupling causes ... More

Strategic Decompositions of Normal Form Games: Zero-sum Games and Potential GamesFeb 22 2016We study new classes of games, called zero-sum equivalent games and zero-sum equivalent potential games, and prove decomposition theorems involving these classes of games. We say that two games are "strategically equivalent" if, for every player, the ... More

Decompositions of two player games: potential, zero-sum, and stable gamesJun 17 2011Jul 18 2011We introduce several methods of decomposition for two player normal form games. Viewing the set of all games as a vector space, we exhibit explicit orthonormal bases for the subspaces of potential games, zero-sum games, and their orthogonal complements ... More

Positive feedback in coordination games: stochastic evolutionary dynamics and the logit choice ruleJan 17 2017Feb 15 2018We show that under the logit dynamics, positive feedback among agents (also called bandwagon property) induces evolutionary paths along which agents repeat the same actions consecutively so as to minimize the payoff loss incurred by the feedback effects. ... More

Simple Characterizations of Potential Games and Zero-sum GamesFeb 14 2016We provide several tests to determine whether a game is a potential game or whether it is a zero-sum equivalent game---a game which is strategically equivalent to a zero-sum game in the same way that a potential game is strategically equivalent to a common ... More

A duality map for quantum cluster varieties from surfacesSep 04 2015Jun 09 2016We define a canonical map from a certain space of laminations on a punctured surface into the quantized algebra of functions on a cluster variety. We show that this map satisfies a number of special properties conjectured by Fock and Goncharov. Our construction ... More

Construction of Co_1 from an irreducible subgroup M_{24} of GL_{11}(2)Aug 10 2009In this article we give an self contained existence proof for J. Conway's sporadic simple group Co_1 [4] using the second author's algorithm [14] constructing finite simple groups from irreducible subgroups of GL_n(2). Here n = 11 and the irreducible ... More

Construction of Fischer's sporadic group Fi'_{24} inside GL_{8671}(13)Jun 05 2009In this article we construct an irreducible simple subgroup G = <q, y, t, w> of GL_{8671}(13) from an irreducible subgroup T of GL_{11}(2) isomorphic to Mathieu's simple group M_{24} by means of Algorithm 2.5 of [13]. We also use the first author's similar ... More

Simultaneous Constructions of the Sporadic Groups Co_2 and Fi_{22}Jun 03 2009In this article we give self-contained existence proofs for the sporadic simple groups Co_2 and Fi_{22} using the second author's algorithm [10] constructing finite simple groups from irreducible subgroups of GL_n(2). These two sporadic groups were originally ... More

Hierarchical models for semi-competing risks data with application to quality of end-of-life care for pancreatic cancerFeb 02 2015Aug 05 2015Readmission following discharge from an initial hospitalization is a key marker of quality of health care in the United States. For the most part, readmission has been used to study quality of care for patients with acute health conditions, such as pneumonia ... More

Strategic Decompositions of Normal Form Games: Zero-sum Games and Potential GamesFeb 22 2016Jan 17 2017We study new classes of games, called zero-sum equivalent games and zero-sum equivalent potential games, and prove decomposition theorems involving these classes of games. We say that two games are "strategically equivalent" if, for every player, the ... More

Triple layered compact star with strange quark matterFeb 13 2012We explore the possibility of three phases in the core of neutron star in a form of triple layers. From the center, strange quark matter, kaon condensed nuclear matter and nuclear matter form a triple layer. We discuss how the phase of strange quark matter ... More