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A Generalization Method of Partitioned Activation Function for Complex NumberFeb 08 2018A method to convert real number partitioned activation function into complex number one is provided. The method has 4em variations; 1 has potential to get holomorphic activation, 2 has potential to conserve complex angle, and the last 1 guarantees interaction ... More

On the structure of braid groups on complexesAug 15 2015We consider the braid groups $\mathbf{B}_n(X)$ on finite simplicial complexes $X$, which are generalizations of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decompositions ... More

Characteristics of graph braid groupsJan 13 2011We give formulae for the first homology of the $n$-braid group and the pure 2-braid group over a finite graph in terms of graph theoretic invariants. As immediate consequences, a graph is planar if and only if the first homology of the $n$-braid group ... More

Graph 4-braid groups and Massey productsJul 14 2014We first show that the braid group over a graph topologically containing no $\Theta$-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains ... More

Graph braid groups and right-angled Artin groupsMay 01 2008Jun 13 2010We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index $\ge 5$. In order to have the necessity part, graphs are organized into small classes so that one of homological or cohomological ... More

The Cost of Bounded CurvatureJun 30 2011Nov 02 2012We study the motion-planning problem for a car-like robot whose turning radius is bounded from below by one and which is allowed to move in the forward direction only (Dubins car). For two robot configurations $\sigma, \sigma'$, let $\ell(\sigma, \sigma')$ ... More

Observation of the Far-ultraviolet Continuum Background with SPEAR/FIMSJun 23 2010Aug 09 2011We present the general properties of the far-ultraviolet (FUV; 1370-1720A) continuum background over most of the sky, obtained with the Spectroscopy of Plasma Evolution from Astrophysical Radiation instrument (SPEAR, also known as FIMS), flown aboard ... More

Direct Determination of Expansion History Using Redshift DistortionsOct 24 2012Jan 08 2013We investigate the direct determination of expansion history using redshift distortions without plugging into detailed cosmological parameters. The observed spectra in redshift space include a mixture of information: fluctuations of density-density and ... More

Looking for an extra dimension with tomographic cosmic shearJul 22 2004Oct 30 2005The cosmic acceleration was discovered in one of the brane-based models. We are interested in discriminating this model from the dark energy by tomographic cosmic shear. Growth factors are different in the two models when one adjusts parameters to get ... More

A Cosmological Test of Standard Gravity by Weak LensingFeb 28 2006Mar 06 2006The large scale structure formation in the standard Einstein gravity at later time is uniquely determined by the expansion history H(z) measured by the geometrical factor. A possible departure from the expected standard structure formation is detectable ... More

On the Number of Edges of Fan-Crossing Free GraphsNov 08 2013A graph drawn in the plane with n vertices is k-fan-crossing free for k > 1 if there are no k+1 edges $g,e_1,...e_k$, such that $e_1,e_2,...e_k$ have a common endpoint and $g$ crosses all $e_i$. We prove a tight bound of 4n-8 on the maximum number of ... More

Constraints on supernovae dimming from photon-pseudo scalar couplingJul 29 2005An alternative mechanism that dims high redshift supernovae without cosmic acceleration utilizes an oscillation of photons into a pseudo-scalar particle during transit. Since angular diameter distance measures are immune to the loss of photons, this ambiguity ... More

Dark Energy TomographyDec 08 2003We study how parameter error forecasts for tomographic cosmic shear observations are affected by sky coverage, density of source galaxies, inclusion of CMB experiments, simultaneou fitting of non--dark energy parameters, and the parametrization of the ... More

Number of points of a nonsingular hypersurface in an odd-dimensional projective spaceNov 08 2016The numbers of $\mathbb{F}_q$-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which ... More

Smart Context-aware Rejuvenation of Engagement on Urban Ambient Augmented ThingsMar 09 2016The concern over global urbanization trend imposes smart-city as enabling information and communication technology (ICT) to improve urban governance. However, the light trance on better living space is stimulated by socioeconomic impact of escalated senior ... More

Parametric Bayesian Rejuvenation in Ambient Assisted Living through Software-based Thematic 5G ManagementJan 23 2016Ameliorating elderly engagement is vital in rejuvenating independent living. However, recommended practices lack realization of personal traits despite socio -economic promise. The recent proliferation of IoT with the advent of smart-objects/things and ... More

Measuring neutrino mass imprinted on the anisotropic galaxy clusteringJul 04 2016The anisotropic galaxy clustering of large scale structure observed by the Baryon Oscillation Spectroscopic Survey Data Release 11 is analyzed to probe the sum of neutrino mass in the small $m_\nu < 1eV$ limit in which the early broadband shape determined ... More

A step towards testing general relativity using weak gravitational lensing and redshift surveysDec 01 2008Aug 24 2009Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent model-independent program to ... More

A limit on the detectability of the energy scale of inflationFeb 15 2002We show that the polarization of the cosmic microwave background can be used to detect gravity waves from inflation if the energy scale of inflation is above 3.2 times 10^15 GeV. These gravity waves generate polarization patterns with a curl, whereas ... More

The Detectability of Departures from the Inflationary Consistency EquationMay 21 2003May 23 2003We study the detectability, given CMB polarization maps, of departures from the inflationary consistency equation, r \equiv T/S \simeq -5 n_T, where T and S are the tensor and scalar contributions to the quadrupole variance, respectively. The consistency ... More

Spin 3/2 Baryons and Form Factors in AdS/QCDApr 23 2009We study the 5D Rarita-Schwinger fields to describe spin 3/2 baryons in AdS/QCD. We calculate the spectrum of spin 3/2 baryons (Delta resonances) and their form factors, together with meson-baryon couplings from AdS/QCD. The transition form-factors between ... More

Large-Scale Tests of the DGP ModelJun 13 2006Feb 10 2007The self-accelerating braneworld model (DGP) can be tested from measurements of the expansion history of the universe and the formation of structure. Current constraints on the expansion history from supernova luminosity distances, the CMB, and the Hubble ... More

Holographic Limitations of the Effective Field Theory of InflationNov 24 2002Jan 17 2003Holographic considerations may provide a glimpse of quantum gravity beyond what is currently accessible by other means. Here we apply holography to inflationary cosmology. We argue that the appropriate holographic bound on the total entropy in the inflationary ... More

Quark mass effects in high energy neutrino nucleon scatteringJan 23 2010May 27 2010We evaluate the neutrino nucleon charged current cross section at next-to-leading order in quantum chromodynamic corrections in the variable flavor number scheme and the fixed flavor number scheme, taking into account quark masses. The number scheme dependence ... More

Broadband Alcock-Paczynski test exploiting redshift distortionsSep 04 2013Mar 05 2014Baryon acoustic oscillations (BAO), known as one of the largest cosmological objects, is now recognized as standard cosmological tool to measure geometric distances via the Alcock-Paczynski effect, by which the observed BAO exhibits characteristic anisotropies ... More

Convex projective generalized Dehn fillingNov 08 2016Dec 01 2016In dimension $d=4, 5, 6, 7$, we find the first examples of complete finite volume hyperbolic $d$-dimensional manifolds $M$ with cusps such that an infinite number of orbifolds $M_{m}$ obtained by generalized Dehn fillings on $M$ admit a properly convex ... More

The Spectroscopy of Plasma Evolution from Astrophysical Radiation MissionJan 26 2006The Spectroscopy of Plasma Evolution from Astrophysical Radiation (or the Far-ultraviolet Imaging Spectrograph) instruments, flown aboard the STSAT-1 satellite mission, have provided the first large-area spectral mapping of the cosmic far ultraviolet ... More

Ultraviolet Radiative Transfer Modeling of Nearby Galaxies with Extraplanar DustsNov 12 2015In order to examine their relation to the host galaxy, the extraplanar dust of six nearby galaxies are modeled, employing a three dimensional Monte Carlo radiative transfer code. The targets are from the highly-inclined galaxies that show dust-scattered ... More

Reconstructing the history of structure formation using redshift distortionsJul 06 2008Oct 06 2009Measuring the statistics of galaxy peculiar velocities using redshift-space distortions is an excellent way of probing the history of structure formation. Because galaxies are expected to act as test particles within the flow of matter, this method avoids ... More

The Large Scale Structure of f(R) GravityOct 18 2006Jan 15 2007We study the evolution of linear cosmological perturbations in f(R) models of accelerated expansion in the physical frame where the gravitational dynamics are fourth order and the matter is minimally coupled. These models predict a rich and testable set ... More

Geometry of contact transformations and domains: orderability versus squeezingNov 27 2005Mar 06 2009Gromov's famous non-squeezing theorem (1985) states that the standard symplectic ball cannot be symplectically squeezed into any cylinder of smaller radius. Does there exist an analogue of this result in contact geometry? Our main finding is that the ... More

Evolution of Kinetic and Magnetic Energy in Intra Cluster MediaApr 12 2015Jul 13 2015Intra Cluster Media (ICMs) located at galaxy clusters is in the state of hot, tenuous, magnetized, and highly ionized X-ray emitting plasmas. This overall collisionless, viscous, and conductive magnetohydrodynamic (MHD) turbulence in ICM is simulated ... More

Distance-based Control of K4 Formation with Almost Global ConvergenceJun 06 2016In this paper, we propose a distance-based formation control strategy that can enable four mobile agents, which are modelled by a group of single-integrators, to achieve the desired formation shape specified by using six consistent inter-agent distances ... More

Distributed stabilization control of rigid formations with prescribed orientationJun 10 2016Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed orientations in ... More

Honeycomb Charge Ordering in IrTe$_2$May 04 2015We report on the observation of a unique honeycomb charge ordering of the cleaved IrTe$_2$ surface by high-resolution scanning tunneling microscopy (STM) and spectroscopy (STS). IrTe$_2$ was recently established to exhibit intriguing stripe charge orderings. ... More

Identifying ECUs Using Inimitable Characteristics of Signals in Controller Area NetworksJul 02 2016In the last several decades, the automotive industry has come to incorporate the latest Information and Communications (ICT) technology, increasingly replacing mechanical components of vehicles with electronic components. These electronic control units ... More

Generalized Cross-correlation Properties of Chu SequencesAug 05 2008In this paper, we analyze the cross-correlation properties for Chu sequences, which provide information on the distribution of the maximum magnitudes of the cross-correlation function. Furthermore, we can obtain the number of available sequences for a ... More

Chasing Unbiased Spectra of the UniverseJan 14 2013The cosmological power spectrum of the coherent matter flow is measured exploiting an improved prescription for the apparent anisotropic clustering pattern in redshift space. New statistical analysis is presented to provide an optimal observational platform ... More

Anomalous polarization dependence of Raman scattering and crystallographic orientation of black phosphorusOct 12 2015Nov 09 2015We investigated polarization dependence of the Raman modes in black phosphorus (BP) using five different excitation wavelengths. The crystallographic orientation was determined by comparing polarized optical microscopy with high-resolution transmission ... More

Is Dust Cloud around $λ$ Orionis a Ring or a Shell, or Both?May 22 2015The dust cloud around $\lambda$ Orionis is observed to be circularly symmetric with a large angular extent ($\approx$ 8 degrees). However, whether the three-dimensional (3D) structure of the cloud is shell- or ring-like has not yet been fully resolved. ... More

Design of Multiple-Edge Protographs for QC LDPC Codes Avoiding Short Inevitable CyclesOct 15 2012There have been lots of efforts on the construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes with large girth. However, most of them are focused on protographs with single edges and little research has been done for the construction ... More

Clipping Noise Cancellation for OFDM and OFDMA Systems Using Compressed SensingOct 19 2011Dec 08 2011In this paper, we propose clipping noise cancellation scheme using compressed sensing (CS) for orthogonal frequency division multiplexing (OFDM) systems. In the proposed scheme, only the data tones with high reliability are exploited in reconstructing ... More

A construction of slice knots via annulus modificationsDec 01 2015We define an operation on homology ${B}^4$ which we call an $n$-twist annulus modification. We give a new construction of smoothly slice knots and exotically slice knots via $n$-twist annulus modifications. As an application, we present a new example ... More

An asymptotic for the average number of amicable pairs for elliptic curvesOct 22 2014Jan 25 2016Amicable pairs for a fixed elliptic curve defined over $\mathbb{Q}$ were first considered by Silverman and Stange where they conjectured an order of magnitude for the function that counts such amicable pairs. This was later refined by Jones to give a ... More

The Geography of Spin Symplectic 4-ManifoldsAug 22 2000Aug 31 2001In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points $(\chi, c)$ lying in $0 \leq c \leq 8.76\chi$. Furthermore, as a corollary, we prove that there ... More

Exotic smooth structures on 3{CP}^2#8{-CP}^2Jul 05 2005Aug 29 2005Motivated by Stipsicz and Szab\'{o}'s exotic 4-manifolds with b_2^+=3 and b_2^-=8, we construct a family of simply connected smooth 4-manifolds with b_2^+=3 and b_2^-=8. As a corollary, we conclude that the topological 4-manifold 3{CP}^2#8{-CP}^2 admits ... More

Rigorous Approach to the Gravitational LensingApr 28 2008Jul 18 2008We revisit a weak gravitational lensing problem by constructing a setup which describes the actual system as accurately as possible and solving the null geodesic equations. Details are given for the case of a Universe driven only by a cosmological constant, ... More

On secant loci and simple linear projections of some projective varietiesAug 14 2008In this paper, we study how simple linear projections of some projective varieties behave when the projection center runs through the ambient space. More precisely, let $X \subset \P^r$ be a projective variety satisfying Green-Lazarsfeld's property $N_p$ ... More

Minimum distance of Hermitian two-point codesFeb 01 2009We prove a formula for the minimum distance of two-point codes on a Hermitian curve.

Mislin's theorem for fusion systems via Mackey functorsDec 31 2013Jan 20 2014We state and prove a fusion system version of Mislin's theorem \cite{Mislin1990} on cohomology and control of fusion, following Symonds's proof \cite{Symonds2004} of Mislin's theorem using Mackey functors.

A Generalization of Multiple Choice Balls-into-Bins: Tight BoundsJan 16 2012Jul 11 2016This paper investigates a general version of the multiple choice model called the $(k,d)$-choice process in which $n$ balls are assigned to $n$ bins. In the process, $k<d$ balls are placed into $k$ least loaded out of $d$ bins chosen independently and ... More

A Quantile Implementation of the EM Algorithm and Its Applications to Parameter Estimation with Interval DataMar 20 2012The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the expectation in each ... More

Note on the closed-form MLEs of k-component load-sharing systemsMar 16 2012Recently Kim and Kvam (2004) and Singh, Sharma, Kumar (2008) proposed different load-sharing models and developed parametric inference for the these models. However, their parametric estimates are calculated using iterative numerical methods. In this ... More

Holographic entanglement entropy in the nonconformal mediumJan 13 2015Mar 05 2015We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its thermodynamics can ... More

Geometric models of twisted differential K-theory IFeb 06 2016Nov 27 2016This is the first in a series of papers constructing geometric models of twisted differential K-theory. In this paper we construct a model of even twisted differential K-theory when the underlying topological twist represents a torsion class. By differential ... More

Euler-Lagrange formulas for pseudo-Kaehler manifoldsMay 12 2015Let $c$ be a characteristic form of degree $k$ which is defined on a Kaehler manifold of real dimension $m>2k$. Taking the inner product with the Kaehler form $\Omega^k$ gives a scalar invariant which can be considered as a generalized Lovelock functional. ... More

Positive Toeplitz operators on Large Bergman spaces in the unit diskOct 30 2014Nov 04 2014We study positive Toeplitz operators on the Bergman spaces having the fast decreasing weight functions in a certain class. We give the characterizations for the boundedness and compactness of Toeplitz operators in terms of their Berezin transforms and ... More

Greenberger-Horne-Zeilinger Symmetry in Four Qubit SystemNov 30 2016Like a three-qubit Greenberger-Horne-Zeilinger(GHZ) symmetry we explore a corresponding symmetry in the four-qubit system, which we call GHZ$_4$ symmetry. While whole GHZ-symmetric states can be represented by two real parameters, the whole set of the ... More

A complex surface of general type with $p_g=0$, $K^2=4$, and $π_1=\mathbb{Z}/2\mathbb{Z}$Oct 19 2009Nov 03 2009We construct a minimal complex surface of general type with $p_g=0$, $K^2 =4$, and $\pi_1=\mathbb{Z}/2\mathbb{Z}$ using a rational blow-down surgery and a $\mathbb{Q}$-Gorenstein smoothing theory. In a similar fashion, we also construct a symplectic 4-manifold ... More

Construction of High-Rate Regular Quasi-Cyclic LDPC Codes Based on Cyclic Difference FamiliesNov 16 2012For a high-rate case, it is difficult to randomly construct good low-density parity-check (LDPC) codes of short and moderate lengths because their Tanner graphs are prone to making short cycles. Also, the existing high-rate quasi-cyclic (QC) LDPC codes ... More

On Higher Syzygies of ruled varieties over a curveJan 05 2004Sep 08 2004For a vector bundle $\mathcal{E}$ of rank $n+1$ over a smooth projective curve $C$ of genus $g$, let $X=\P_C (\mathcal{E})$ with projection map $\pi:X\to C$. In this paper we investigate the minimal free resolution of homogeneous coordinate rings of $X$. ... More

Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systemsNov 19 2010Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered by Ruiz and Viruel, and analyze the finite group $G$ ... More

Discriminators of quadratic polynomialsAug 17 2013Given $f \in \mathbb{Z}[x]$ and $n \in \mathbb{Z^{+}}$, the $\emph{discriminator}$ $D_f(n)$ is the smallest positive integer $m$ such that $f(1), \ldots, f(n)$ are distinct mod $m$. In a recent paper, Z.-W. Sun proved that $D_f(n) = d^{\lceil \log_d n ... More

The weighted fusion category algebra and the q-Schur algebra for \mathrm{GL}_2(q)Nov 10 2007We show that the weighted fusion category algebra of the principal 2-block $b_0$ of $\mathrm{GL}_2(q)$ is the quotient of the $q$-Schur algebra $\mathcal{S}_2(q)$ by its socle, for $q$ an odd prime power. As a consequence, we get a canonical bijection ... More

Equivariant K-theory and the Chern character for discrete groupsOct 29 2010Let $X$ be a compact Hausdorff space, let $\Gamma$ be a discrete group that acts continuously on $X$ from the right, define $\widetilde{X} = \{(x,\gamma) \in X \times \Gamma : x\cdot\gamma= x\}$, and let $\Gamma$ act on $\widetilde{X}$ via the formula ... More

A smooth variant of Hopkins-Singer differential K-theoryJul 29 2016We introduce a smooth variant of the Hopkins-Singer model of differential K-theory. We prove that our model is naturally isomorphic to the Hopkins-Singer model and also to the Tradler-Wilson-Zeinalian model of differential K-theory.

Spectral geometry of $eta$-Einstein Sasakian manifoldsApr 12 2012We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined. We also prove that the condition that a ... More

Sparsity-Preserving Difference of Positive Semidefinite Matrix Representation of Indefinite MatricesSep 21 2016We consider the problem of writing an arbitrary symmetric matrix as the difference of two positive semidefinite matrices. We start with simple ideas such as eigenvalue decomposition. Then, we develop a simple adaptation of the Cholesky that returns a ... More

Almost universality of a sum of normsFeb 11 2013Nov 26 2015In this paper the author considers a particular type of polynomials with integer coefficients, consisting of a perfect power and two norm forms of abelian number fields with coprime discriminants. It is shown that such a polynomial represents every natural ... More

On hypersurfaces containing projective varietiesApr 29 2011Classical Castelnuovo's Lemma shows that the number of linearly independent quadratic equations of a nondegenerate irreducible projective variety of codimension $c$ is at most ${{c+1} \choose {2}}$ and the equality is attained if and only if the variety ... More

Algebraic cycles and Connes periodicityJul 12 2006We apply the classical technique on cyclic objects of Alain Connes to various objects, in particular to the higher Chow complex of S. Bloch to prove a Connes periodicity long exact sequence involving motivic cohomology groups. The Cyclic higher Chow groups ... More

Entanglement Degradation in the presence of $(4+n)$-dimensional Schwarzschild Black HoleAug 31 2012Mar 05 2013In this short paper we compute the various bipartite quantum correlations in the presence of the $(4+n)$-dimensional Schwarzschild black hole. In particular, we focus on the $n$-dependence of various bosonic bipartite entanglements. For the case between ... More

Tripartite Entanglement Dynamics in the presence of Non-Markovian EnvironmentJan 03 2016May 13 2016We study on the tripartite entanglement dynamics when each party is initially entangled with other parties, but they locally interact with their own non-Markovian environment. First, we consider three GHZ-type initial states, all of which have GHZ symmetry ... More

Complete Linear Series on a Hyperelliptic CurveAug 01 2008In this paper we study complete linear series on a hyperelliptic curve $C$ of arithmetic genus $g$. Let $A$ be the unique line bundle on $C$ such that $|A|$ is a $g^1_2$, and let $\mathcal{L}$ be a line bundle on $C$ of degree $d$. Then $\mathcal{L}$ ... More

Quantum Aspects of Massive GravitySep 22 2010We consider the effect of quantum interactions on Pauli-Fierz massive gravity. With generic graviton cubic interactions, we observe that the 1-loop counterterms do not conform to the tree level structure of Pauli-Fierz action, resulting in the reappearance ... More

Quiver varieties and adjoint crystals of level $\ell$ for type $A_n^{(1)}$Nov 26 2010Aug 31 2012Let $B(\Lambda)$ be a level $\ell$ highest weight crystal of the quantum affine algebra $U_q(A_n^{(1)})$. We construct an explicit crystal isomorphism between the geometric realization $\gB(\Lambda)$ of the crystal $B(\Lambda)$ using quiver varieties ... More

The tame symbol and determinants of Toeplitz operatorsMay 27 2009Jan 19 2010Suppose that $\phi$ and $\psi$ are smooth complex-valued functions on the circle that are invertible, have winding number zero with respect to the origin, and have meromorphic extensions to an open neighborhood of the closed unit disk. Let $T_\phi$ and ... More

Arithmetic properties of generalized Fibonacci sequencesJul 30 2014The generalized Fibonacci sequences are sequences $\{f_n\}$ which satisfy the recurrence $f_n(s, t) = sf_{n - 1}(s, t) + tf_{n - 2}(s, t)$ ($s, t \in \mathbb{Z}$) with initial conditions $f_0(s, t) = 0$ and $f_1(s, t) = 1$. In a recent paper, Amdeberhan, ... More

Radiation-Induced Zero-Resistance State at Low Magnetic Fields and near Half Filling of the Lowest Landau LevelDec 01 2003May 18 2004We theoretically predict the radiation-induced ``zero-resistance state'' near half filling of the lowest Landau level, which is caused by the photon-assisted transport in the presence of oscillating density of states due to composite fermion Landau levels, ... More

Kondo effect of non-magnetic impurities and the co-existing charge order in the cuprate superconductorsMar 06 2002We present a theory of Kondo effect caused by an induced magnetic moment near non-magnetic impurities such as Zn and Li in the cuprate superconductors. Based on the co-existence of charge order and superconductivity, a natural description of the induced ... More

Logarithmic Corrections to the Entanglement EntropyMay 15 2015Dec 31 2015In a $d$-dimensional conformal field theory, it has been known that a relevant deformation operator with the conformal dimension, $\Delta=\frac{d+2}{2}$, generates a logarithmic correction to the entanglement entropy. In the large 't Hooft coupling limit, ... More

Reduction modulo $p$ of certain semi-stable representationsApr 09 2014Nov 25 2014Let $p>3$ be a prime number and let $G_{\mathbb{Q}_p}$ be the absolute Galois group of $\mathbb{Q}_p$. In this paper, we find Galois stable lattices in the irreducible $3$-dimensional semi-stable and non-crystalline representations of $G_{\mathbb{Q}_p}$ ... More

Holographic aspects of a relativistic non-conformal theorySep 05 2012May 16 2013We study a general D-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate ... More

Meson's Correlation Functions in a Nuclear MediumMar 13 2016Jun 27 2016We investigate meson's spectrum, decay constant and form factor in a nuclear medium through holographic two- and three-point correlation functions. To describe a nuclear medium composed of protons and neutrons, we consider a hard wall model on the thermal ... More

Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch VectorsMay 26 2010So far there is no closed formula for relative entropy of entanglement of arbitrary two-qubit states. In this paper we present a method, which guarantees the derivation of the relative entropy of entanglement for most states that have $z$-directional ... More

Entanglement Classification of Restricted Greenberger-Horne-Zeilinger Symmetric States in Four-Qubit SystemMay 09 2013May 21 2014Similar to the three-qubit Greenberger-Horne-Zeilinger (GHZ) symmetry we explore the four-qubit GHZ symmetry group and its subgroup called restricted GHZ symmetry group. While the set of symmetric states under the whole group transformation is represented ... More

Simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$Nov 22 2003Mar 26 2004In this article we construct a new family of simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$ which are not diffeomorphic to rational surfaces by using rational blow-down technique. As a corollary, we conclude that a rational surface ... More

The First Very Long Baseline Interferometry Image of 44 GHz Methanol Maser with the KVN and VERA Array (KaVA)Jun 09 2014Jun 11 2014We have carried out the first very long baseline interferometry (VLBI) imaging of 44 GHz class I methanol maser (7_{0}-6_{1}A^{+}) associated with a millimeter core MM2 in a massive star-forming region IRAS 18151-1208 with KaVA (KVN and VERA Array), which ... More

Majorana Dark Matter Cross Sections with Nucleons at High EnergiesJul 06 2012Oct 17 2012Non-relativistic dark matter scattering with nucleons is constrained by direct detection experiments. We use the XENON constraints on the spin-independent and spin-dependent cross section for dark matter scattering with nucleons to constrain a hypothetical ... More

Non-complex symplectic 4-manifolds with $b_{2}^{+}=1$Aug 31 2001In this short article we give a criterion whether a given minimal symplectic 4-manifold with $b_{2}^{+}=1$ having a torsion-free canonical class is rational or ruled. As a corollary, we confirm that most of homotopy elliptic surfaces $E(1}_{K}$, K is ... More

Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cuspsNov 15 2001Dec 21 2005We study the eta invariants of Dirac operators and the regularized determinants of Dirac Laplacians over hyperbolic manifolds with cusps. We follow Werner M"uller and use relative traces to define these spectral invariants. We show the regularity of eta ... More

Milnor's triple linking numbers and derivatives of genus three knotsMar 30 2016A derivative of an algebraically slice knot $K$ is an oriented link disjointly embedded in a Seifert surface of $K$ such that its homology class forms a basis for a metabolizer $H$ of $K$. We show that for a genus three algebraically slice knot $K$, the ... More

Comparison of the $π$ and $Δ$ operator approximations for the two-dimensional t-J modelJul 28 1999We compare the spectra of the new $\pi$ operator of the SO(5) theory and the conventional $\Delta$ operator for the two-dimensional t-J model. We also calculate the weight transferred to the two-hole ground state from half-filling by these operators. ... More

Realizing fusion systems inside finite groupsAug 23 2015We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work \cite{Park2010} and complements the related result \cite{LearyStancu2007} ... More

Counting conjugacy classes of cyclic subgroups for fusion systemsJul 09 2013We give another proof of an observation of Th\'evenaz \cite{T1989} and present a fusion system version of it. Namely, for a saturated fusion system $\CF$ on a finite $p$-group $S$, we show that the number of the $\CF$-conjugacy classes of cyclic subgroups ... More

Value of Usage and Seller's Listing Behavior in Internet AuctionsSep 24 2001In this paper, we aim to empirically examine the value of website usage and sellers' listing behavior in the two leading Internet auctions sites, eBay and Yahoo!Auctions. The descriptive data analysis of the seller's equilibrium listing behavior indicates ... More

Range of magic constant on Hexagonal Tortoise ProblemJan 11 2015Hexagonal tortoise problem (HTP), also known as Jisuguimundo or Jisugwimundo, is a magic square variety which was invented by medieval Korean Mathematician and minister Suk-Jung Choi (1646-1715).[1] Choi showed pattern 30 vertices 3 by 3 diagonal shape ... More

Tripartite Entanglement-Dependence of Tripartite Non-locality in Non-inertial FrameJan 06 2012Sep 10 2012The three-tangle-dependence of $S_{max} = \max <S>$, where $S$ is Svetlichny operator, are explicitly derived when one party moves with an uniform acceleration with respect to other parties in the generalized Greenberger-Horne-Zeilinger and maximally ... More

Some effects of Veronese map on syzygies of projective varietiesSep 30 2005Nov 08 2005Let $X \subset \P^r$ be a nondegenerate projective variety and let $\nu_{\ell} : \P^r \to \P^N$ be the $\ell$-th Veronese embedding. In this paper we study the higher normality, defining equations and syzygies among them for the projective embedding $\nu_{\ell} ... More

Algebraic cycles and additive dilogarithmJul 08 2006Jul 21 2007For an algebraically closed field $k$ of characteristic 0, we give a cycle-theoretic description of the additive 4-term motivic exact sequence associated to the additive dilogarithm of J.-L. Cathelineau, that is the derivative of the Bloch-Wigner function, ... More