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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

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

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

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

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

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.

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

Deterministic Equations for Stochastic Spatial Evolutionary GamesJul 05 2010Spatial evolutionary games model individuals who are distributed in a spatial domain and update their strategies upon playing a normal form game with their neighbors. We derive integro-differential equations as deterministic approximations of the microscopic ... 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

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

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

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

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

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

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

Efficient Hybrid White Organic Light-Emitting Diodes for Application of Triplet Harvesting with Simple StructureMay 23 2016In this study, we fabricated hybrid white organic light-emitting diodes (WOLEDs) based on triplet harvesting with simple structure. All the hole transporting material and host in emitting layer (EML) of devices were utilized with same material by using ... 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

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

Beam Characterization at the KAERI UED BeamlineOct 07 2016The UED (ultrafast electron diffraction) beamline of the KAERI's (the Korea Atomic Energy Research Institute's) WCI (World Class Institute) Center has been successfully commissioned. We have measured the beam emittance by using the quadrupole scan technique ... 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

Spitzer Microlensing of MOA-2016-BLG-231L : A Counter-Rotating Brown Dwarf Binary in the Galactic DiskFeb 08 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

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

Opening and reversible control of a wide energy gap in uniform monolayer grapheneJun 12 2014For graphene to be used in semiconductor applications, a wide energy gap of at least 0.5 eV at the Dirac energy must be opened without the introduction of atomic defects. However, such a wide energy gap has not been realized in graphene, except in the ... More

Estimates of isospin breaking contributions to baryon massesSep 20 2006Jun 30 2007We estimate the isospin breaking contributions to the baryon masses which we analyzed recently using a loop expansion in the heavy baryon approximation to chiral effective field theory. To one loop, the isospin breaking corrections come from the effects ... 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

The coevolution of the velocity and mass functions of galaxies and dark haloesMar 03 2010Dec 07 2010We employ a bias-corrected abundance matching technique to investigate the coevolution of the LCDM dark halo mass function (HMF), the observationally derived velocity dispersion and stellar mass functions (VDF, SMF) of galaxies between z=1 and 0. We use ... More

New Modeling of the Lensing Galaxy and Cluster of Q0957+561: Implications for the Global Value of the Hubble ConstantJun 10 1999The gravitational lens 0957+561 is modeled utilizing recent observations of the galaxy and the cluster as well as previous VLBI radio data which have been re-analyzed recently. The galaxy is modeled by a power-law elliptical mass density with a small ... 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

Classification of equivariant vector bundles over real projective planeMar 13 2011We classify equivariant topological complex vector bundles over real projective plane under a compact Lie group (not necessarily effective) action. It is shown that nonequivariant Chern classes and isotropy representations at (at most) three points are ... More

Classification of equivariant vector bundles over two-sphereMay 05 2010Mar 10 2011We exhaustively classify topological equivariant complex vector bundles over two-sphere under a compact Lie group (not necessarily effective) action. It is shown that inequivariant Chern classes and isotropy representations at (at most) three points are ... More

Phase constants in the Fock-Goncharov quantization of cluster varietiesFeb 02 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

Classification of equivariant vector bundles over two-torusMay 05 2010Jul 10 2010We exhaustively classify topological equivariant complex vector bundles over two-torus under a compact Lie group (not necessarily effective) action. It is shown that inequivariant Chern classes and isotropy representations at (at most) six points are ... More

Tight-binding approach to understand photoelectron intensity from graphene for circularly polarized lightApr 25 2015We have investigated the effect of imperfect circular polarization on the angle-resolved photoemission spectroscopy signal, using graphene as a prototypical system that can be understood within tight-binding formalism. We found that perfect left- and ... 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

Ternary and senary representations using DNA double-crossover tilesJan 06 2016The information capacity of double-crossover (DX) tiles was successfully increased beyond a binary representation to higher base representations. By controlling the length and the position of DNA hairpins on the DX tile, ternary and senary (base-3 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

Limits on the evolution of galaxies from the statistics of gravitational lensesNov 10 2003We use gravitational lenses from the Cosmic Lens All-Sky Survey (CLASS) to constrain the evolution of galaxies since redshift $z \sim 1$ in the current $\LCDM$ cosmology. This constraint is unique as it is based on a mass-selected lens sample of galaxies. ... More

Combinatorial characterizations of the saturation and the associated primes of the fourth power of edge idealsMar 09 2015To compute the local cohomology of powers of edge ideals one needs to know their saturations. The saturation of the second and third powers has been described in terms of the graph in [13] and [10]. In this article, we give a combinatorial description ... 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

Projective embeddings of projective schemes blown up at subschemesApr 19 2002Jul 04 2003Let X be a nonsingular arithmetically Cohen-Macaulay projective scheme, Z a nonsingular subscheme of X. Let \pi: Y --> X be the blowup of X along the ideal sheaf of Z, E_0 the pull-back of a general hyperplane in X and E the exceptional divisor. In this ... 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

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

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

Adjoint line bundles and syzygies of projective varietiesJan 26 2005Sep 13 2007Let X be a smooth projective variety and let K be the canonical divisor of X. In this paper, we study embeddings of X given by adjoint line bundles of the form K+L, where L is an ample line bundle. When X is a regular surface (i.e. H^1(X, O_X) = 0), we ... 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

Weak Mixing Angle and Higgs Mass in Gauge-Higgs Unification Models with Brane Kinetic TermsNov 23 2011We show that the idea of Gauge-Higgs unification(GHU) can be rescued from the constraint of weak mixing angle by introducing localized brane kinetic terms in higher dimensional GHU models with bulk and simple gauge groups. We find that those terms lead ... 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

Baryon Magnetic Moments in a QCD-based Quark Model with loop correctionsApr 23 1998We study meson loop corrections to the baryon magnetic moments starting from a QCD-based quark model derived earlier in a quenched approximation to QCD. The model reproduces the standard quark model with extra corrections for the binding of the quarks. ... More

Origin of $2_1^+$ Excitation Energy Dependence on Valence Nucleon NumbersMar 13 2007Apr 17 2007It has been shown recently that a simple formula in terms of the valence nucleon numbers and the mass number can describe the essential trends of excitation energies of the first $2^+$ states in even-even nuclei. By evaluating the first order energy shift ... More

Regularity of squarefree monomial idealsOct 29 2013Nov 04 2013We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial ideals. Our focus is on bounds and exact values for the regularity in terms of combinatorial data from associated simplicial complexes and/or hypergraphs. ... 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

Further properties of Gaussian Reproducing Kernel Hilbert SpacesOct 23 2012We generalize the orthonormal basis for the Gaussian RKHS described in \cite{MinhGaussian2010} to an infinite, continuously parametrized, family of orthonormal bases, along with some implications. The proofs are direct generalizations of those in \cite{MinhGaussian2010}. ... More

Many solutions to the $S$-unit equation $a+1=c$Feb 20 2019We show that there are arbitrarily large sets $S$ of $s$ primes for which the number of solutions to $a+1=c$ where all prime factors of $ac$ lie in $S$ has $\gg \exp( s^{1/4}/\log s)$ solutions.

Building accurate initial models using gain functions for waveform inversion in the Laplace domainAug 20 2014We suggest an initial model building technique using time gain functions in the Laplace domain. Applying the gain expressed as a power of time is equivalent to taking the partial derivative of the Laplace-domain wavefield with respect to a damping constant. ... 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

The Exponent of a Polarizing Matrix Constructed from the Kronecker ProductAug 17 2011The asymptotic performance of a polar code under successive cancellation decoding is determined by the exponent of its polarizing matrix. We first prove that the partial distances of a polarizing matrix constructed from the Kronecker product are simply ... More

The semi-infinite cohomology of affine Lie algebrasAug 19 1997We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models. We prove the existence of an infinite sequence of elements in the cohomology for non-zero ghost ... More

Unitarity of strings and non-compact Hermitian symmetric spacesJun 05 1998Jun 23 1998If G is a simple non-compact Lie group, with K its maximal compact subgroup, such that K contains a one-dimensional center C, then the coset space G/K is an Hermitian symmetric non-compact space. SL(2,R)/U(1) is the simplest example of such a space. It ... More

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

Modes of counterion density-fluctuations and counterion-mediated attractions between like-charged fluid membranesFeb 21 2000Counterion-mediated attractions between like-charged fluid membranes are long-ranged and non-pairwise additive at high temperatures. At zero temperature, however, they are pairwise additive and decay exponentially with the membrane separation. Here we ... 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

Powers of ample divisors and syzygies of projective varietiesSep 13 2002Jul 14 2003Suppose X is a projective variety, which needs not be smooth, and L an ample divisor on X. We show that there are integers c and b such that for any nonnegative integer p, L^d is normally generated and embeds X as a variety who defining ideal has linear ... More

Computing dimensions of spaces of Arakelov divisors of number fieldsJun 15 2015Mar 22 2016The function $h^0$ for a number field is analogous to the dimension of the Riemann-Roch spaces at divisors on an algebraic curve. We provide a method to compute this function for number fields with unit group of rank at most 2, even with large discriminant. ... More

On reduced Arakelov divisors of real quadratic fieldsDec 16 2014May 25 2016We generalize the concept of reduced Arakelov divisors and define $C$-reduced divisors for a given number $C \geq 1$. These $C$-reduced divisors have remarkable properties which are similar to the properties of reduced ones. In this paper, we describe ... More

Bost-Connes-Marcolli systems for Shimura varieties. I. Definitions and formal analytic propertiesJul 05 2005We construct a quantum statistical mechanical system $(A,s)$ analogous to the systems constructed by Bost-Connes and Connes-Marcolli in the case of Shimura varieties. Along the way, we define a new Bost-Connes system for number fields which has the ``correct'' ... 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

Weyl asymptotics of the transmission eigenvalues for a constant index of refractionSep 14 2013Oct 03 2013We prove Weyl type of asymptotic formulas for the real and the complex internal transmission eigenvalues when the domain is a ball and the index of refraction is constant.

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

Bayesian inverse problems for Burgers and Hamilton-Jacobi equations with white-noise forcingApr 14 2011May 10 2011The paper formulates Bayesian inverse problems for inference in a topological measure space given noisy observations. Conditions for the validity of the Bayes formula and the well-posedness of the posterior measure are studied. The abstract theory is ... More

Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m$Oct 04 2017In this article, we give the non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m.$ This is a continuation of previous work of Ha-Trao [J. Math. Anal. Appl., \textbf{430} (2015), 76-84.], ... More

Estimating the Division Kernel of a Size-Structured PopulationSep 09 2015May 19 2016We consider a size-structured population describing the cell divisions. The cell population is described by an empirical measure and we observe the divisions in the continuous time interval [0, T ]. We address here the problem of estimating the division ... 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

Cosets as gauge slices in SU(1,1) stringsOct 15 1991We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten model and an arbitrary unitary conformal fild theory. We show that the solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1) theory, are states which lie ... 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

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

Differential Amplify-and-Forward Relaying Using Linear Combining in Time-Varying ChannelsDec 04 2015Differential encoding and decoding can be employed to circumvent channel estimation in wireless relay networks. This article studies differential amplify-and-forward relaying using linear combining with arbitrary fixed combining weights in time-varying ... 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

Dense Stellar Matter with Strange Quark Matter Driven by Kaon CondensationFeb 25 2011Oct 06 2011The core of neutron-star matter is supposed to be at a much higher density than the normal nuclear matter density for which various possibilities have been suggested such as, for example, meson or hyperon condensation and/or deconfined quark or color-superconducting ... 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

Towards Case-Based Preference Elicitation: Similarity Measures on Preference StructuresJan 30 2013While decision theory provides an appealing normative framework for representing rich preference structures, eliciting utility or value functions typically incurs a large cost. For many applications involving interactive systems this overhead precludes ... More

Problem-Focused Incremental Elicitation of Multi-Attribute Utility ModelsFeb 06 2013Decision theory has become widely accepted in the AI community as a useful framework for planning and decision making. Applying the framework typically requires elicitation of some form of probability and utility information. While much work in AI has ... More

Binomial extensions of Simplicial ideals and reduction numberNov 28 2009In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \cite{hm}, and in the work of Barile and Morales \cite{bm2}, \cite{bm3}, ... More